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Next: <a href="Plot-Annotations.html" accesskey="n" rel="next">Plot Annotations</a>, Previous: <a href="Two_002dDimensional-Plots.html" accesskey="p" rel="prev">Two-Dimensional Plots</a>, Up: <a href="High_002dLevel-Plotting.html" accesskey="u" rel="up">High-Level Plotting</a> [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Concept-Index.html" title="Index" rel="index">Index</a>]</p>
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<h4 class="subsection" id="Three_002dDimensional-Plots-1"><span>15.2.2 Three-Dimensional Plots<a class="copiable-link" href="#Three_002dDimensional-Plots-1"> ¶</a></span></h4>
<a class="index-entry-id" id="index-plotting_002c-three_002ddimensional"></a>
<p>The function <code class="code">mesh</code> produces mesh surface plots. For example,
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">tx = ty = linspace (-8, 8, 41)';
[xx, yy] = meshgrid (tx, ty);
r = sqrt (xx .^ 2 + yy .^ 2) + eps;
tz = sin (r) ./ r;
mesh (tx, ty, tz);
xlabel ("tx");
ylabel ("ty");
zlabel ("tz");
title ("3-D Sombrero plot");
</pre></div></div>
<p>produces the familiar “sombrero” plot shown in <a class="ref" href="#fig_003amesh">Figure 15.5</a>. Note
the use of the function <code class="code">meshgrid</code> to create matrices of X and Y
coordinates to use for plotting the Z data. The <code class="code">ndgrid</code> function
is similar to <code class="code">meshgrid</code>, but works for N-dimensional matrices.
</p>
<div class="float" id="fig_003amesh">
<div class="center"><img class="image" src="mesh.png" alt="mesh">
</div><div class="caption"><p><strong class="strong">Figure 15.5: </strong>Mesh plot.</p></div></div>
<p>The <code class="code">meshc</code> function is similar to <code class="code">mesh</code>, but also produces a
plot of contours for the surface.
</p>
<p>The <code class="code">plot3</code> function displays arbitrary three-dimensional data,
without requiring it to form a surface. For example,
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">t = 0:0.1:10*pi;
r = linspace (0, 1, numel (t));
z = linspace (0, 1, numel (t));
plot3 (r.*sin (t), r.*cos (t), z);
xlabel ("r.*sin (t)");
ylabel ("r.*cos (t)");
zlabel ("z");
title ("plot3 display of 3-D helix");
</pre></div></div>
<p>displays the spiral in three dimensions shown in <a class="ref" href="#fig_003aplot3">Figure 15.6</a>.
</p>
<div class="float" id="fig_003aplot3">
<div class="center"><img class="image" src="plot3.png" alt="plot3">
</div><div class="caption"><p><strong class="strong">Figure 15.6: </strong>Three-dimensional spiral.</p></div></div>
<p>Finally, the <code class="code">view</code> function changes the viewpoint for
three-dimensional plots.
</p>
<a class="anchor" id="XREFmesh"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-mesh"><span><strong class="def-name">mesh</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>)</code><a class="copiable-link" href="#index-mesh"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-mesh-1"><span><strong class="def-name">mesh</strong> <code class="def-code-arguments">(<var class="var">z</var>)</code><a class="copiable-link" href="#index-mesh-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-mesh-2"><span><strong class="def-name">mesh</strong> <code class="def-code-arguments">(…, <var class="var">c</var>)</code><a class="copiable-link" href="#index-mesh-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-mesh-3"><span><strong class="def-name">mesh</strong> <code class="def-code-arguments">(…, <var class="var">prop</var>, <var class="var">val</var>, …)</code><a class="copiable-link" href="#index-mesh-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-mesh-4"><span><strong class="def-name">mesh</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-mesh-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-mesh-5"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">mesh</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-mesh-5"> ¶</a></span></dt>
<dd><p>Plot a 3-D wireframe mesh.
</p>
<p>The wireframe mesh is plotted using rectangles. The vertices of the
rectangles [<var class="var">x</var>, <var class="var">y</var>] are typically the output of <code class="code">meshgrid</code>.
over a 2-D rectangular region in the x-y plane. <var class="var">z</var> determines the
height above the plane of each vertex. If only a single <var class="var">z</var> matrix is
given, then it is plotted over the meshgrid
<code class="code"><var class="var">x</var> = 1:columns (<var class="var">z</var>), <var class="var">y</var> = 1:rows (<var class="var">z</var>)</code>.
Thus, columns of <var class="var">z</var> correspond to different <var class="var">x</var> values and rows
of <var class="var">z</var> correspond to different <var class="var">y</var> values.
</p>
<p>The color of the mesh is computed by linearly scaling the <var class="var">z</var> values
to fit the range of the current colormap. Use <code class="code">clim</code> and/or
change the colormap to control the appearance.
</p>
<p>Optionally, the color of the mesh can be specified independently of <var class="var">z</var>
by supplying a color matrix, <var class="var">c</var>.
</p>
<p>Any property/value pairs are passed directly to the underlying surface
object. The full list of properties is documented at
<a class="ref" href="Surface-Properties.html">Surface Properties</a>.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the created
surface object.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="Three_002ddimensional-Function-Plotting.html#XREFezmesh">ezmesh</a>, <a class="ref" href="#XREFmeshc">meshc</a>, <a class="ref" href="#XREFmeshz">meshz</a>, <a class="ref" href="Plotting-the-Triangulation.html#XREFtrimesh">trimesh</a>, <a class="ref" href="Two_002dDimensional-Plots.html#XREFcontour">contour</a>, <a class="ref" href="#XREFsurf">surf</a>, <a class="ref" href="Creating-Graphics-Objects.html#XREFsurface">surface</a>, <a class="ref" href="#XREFmeshgrid">meshgrid</a>, <a class="ref" href="#XREFhidden">hidden</a>, <a class="ref" href="#XREFshading">shading</a>, <a class="ref" href="Representing-Images.html#XREFcolormap">colormap</a>, <a class="ref" href="Axis-Configuration.html#XREFclim">clim</a>.
</p></dd></dl>
<a class="anchor" id="XREFmeshc"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-meshc"><span><strong class="def-name">meshc</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>)</code><a class="copiable-link" href="#index-meshc"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-meshc-1"><span><strong class="def-name">meshc</strong> <code class="def-code-arguments">(<var class="var">z</var>)</code><a class="copiable-link" href="#index-meshc-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-meshc-2"><span><strong class="def-name">meshc</strong> <code class="def-code-arguments">(…, <var class="var">c</var>)</code><a class="copiable-link" href="#index-meshc-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-meshc-3"><span><strong class="def-name">meshc</strong> <code class="def-code-arguments">(…, <var class="var">prop</var>, <var class="var">val</var>, …)</code><a class="copiable-link" href="#index-meshc-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-meshc-4"><span><strong class="def-name">meshc</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-meshc-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-meshc-5"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">meshc</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-meshc-5"> ¶</a></span></dt>
<dd><p>Plot a 3-D wireframe mesh with underlying contour lines.
</p>
<p>The wireframe mesh is plotted using rectangles. The vertices of the
rectangles [<var class="var">x</var>, <var class="var">y</var>] are typically the output of <code class="code">meshgrid</code>.
over a 2-D rectangular region in the x-y plane. <var class="var">z</var> determines the
height above the plane of each vertex. If only a single <var class="var">z</var> matrix is
given, then it is plotted over the meshgrid
<code class="code"><var class="var">x</var> = 1:columns (<var class="var">z</var>), <var class="var">y</var> = 1:rows (<var class="var">z</var>)</code>.
Thus, columns of <var class="var">z</var> correspond to different <var class="var">x</var> values and rows
of <var class="var">z</var> correspond to different <var class="var">y</var> values.
</p>
<p>The color of the mesh is computed by linearly scaling the <var class="var">z</var> values
to fit the range of the current colormap. Use <code class="code">clim</code> and/or
change the colormap to control the appearance.
</p>
<p>Optionally the color of the mesh can be specified independently of <var class="var">z</var>
by supplying a color matrix, <var class="var">c</var>.
</p>
<p>Any property/value pairs are passed directly to the underlying surface
object. The full list of properties is documented at
<a class="ref" href="Surface-Properties.html">Surface Properties</a>.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a 2-element vector with a graphics
handle to the created surface object and to the created contour plot.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="Three_002ddimensional-Function-Plotting.html#XREFezmeshc">ezmeshc</a>, <a class="ref" href="#XREFmesh">mesh</a>, <a class="ref" href="#XREFmeshz">meshz</a>, <a class="ref" href="Two_002dDimensional-Plots.html#XREFcontour">contour</a>, <a class="ref" href="#XREFsurfc">surfc</a>, <a class="ref" href="Creating-Graphics-Objects.html#XREFsurface">surface</a>, <a class="ref" href="#XREFmeshgrid">meshgrid</a>, <a class="ref" href="#XREFhidden">hidden</a>, <a class="ref" href="#XREFshading">shading</a>, <a class="ref" href="Representing-Images.html#XREFcolormap">colormap</a>, <a class="ref" href="Axis-Configuration.html#XREFclim">clim</a>.
</p></dd></dl>
<a class="anchor" id="XREFmeshz"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-meshz"><span><strong class="def-name">meshz</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>)</code><a class="copiable-link" href="#index-meshz"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-meshz-1"><span><strong class="def-name">meshz</strong> <code class="def-code-arguments">(<var class="var">z</var>)</code><a class="copiable-link" href="#index-meshz-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-meshz-2"><span><strong class="def-name">meshz</strong> <code class="def-code-arguments">(…, <var class="var">c</var>)</code><a class="copiable-link" href="#index-meshz-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-meshz-3"><span><strong class="def-name">meshz</strong> <code class="def-code-arguments">(…, <var class="var">prop</var>, <var class="var">val</var>, …)</code><a class="copiable-link" href="#index-meshz-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-meshz-4"><span><strong class="def-name">meshz</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-meshz-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-meshz-5"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">meshz</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-meshz-5"> ¶</a></span></dt>
<dd><p>Plot a 3-D wireframe mesh with a surrounding curtain.
</p>
<p>The wireframe mesh is plotted using rectangles. The vertices of the
rectangles [<var class="var">x</var>, <var class="var">y</var>] are typically the output of <code class="code">meshgrid</code>.
over a 2-D rectangular region in the x-y plane. <var class="var">z</var> determines the
height above the plane of each vertex. If only a single <var class="var">z</var> matrix is
given, then it is plotted over the meshgrid
<code class="code"><var class="var">x</var> = 1:columns (<var class="var">z</var>), <var class="var">y</var> = 1:rows (<var class="var">z</var>)</code>.
Thus, columns of <var class="var">z</var> correspond to different <var class="var">x</var> values and rows
of <var class="var">z</var> correspond to different <var class="var">y</var> values.
</p>
<p>The color of the mesh is computed by linearly scaling the <var class="var">z</var> values
to fit the range of the current colormap. Use <code class="code">clim</code> and/or
change the colormap to control the appearance.
</p>
<p>Optionally the color of the mesh can be specified independently of <var class="var">z</var>
by supplying a color matrix, <var class="var">c</var>.
</p>
<p>Any property/value pairs are passed directly to the underlying surface
object. The full list of properties is documented at
<a class="ref" href="Surface-Properties.html">Surface Properties</a>.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the created
surface object.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFmesh">mesh</a>, <a class="ref" href="#XREFmeshc">meshc</a>, <a class="ref" href="Two_002dDimensional-Plots.html#XREFcontour">contour</a>, <a class="ref" href="#XREFsurf">surf</a>, <a class="ref" href="Creating-Graphics-Objects.html#XREFsurface">surface</a>, <a class="ref" href="#XREFwaterfall">waterfall</a>, <a class="ref" href="#XREFmeshgrid">meshgrid</a>, <a class="ref" href="#XREFhidden">hidden</a>, <a class="ref" href="#XREFshading">shading</a>, <a class="ref" href="Representing-Images.html#XREFcolormap">colormap</a>, <a class="ref" href="Axis-Configuration.html#XREFclim">clim</a>.
</p></dd></dl>
<a class="anchor" id="XREFhidden"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-hidden"><span><strong class="def-name">hidden</strong><a class="copiable-link" href="#index-hidden"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-hidden-1"><span><strong class="def-name">hidden</strong> <code class="def-code-arguments">on</code><a class="copiable-link" href="#index-hidden-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-hidden-2"><span><strong class="def-name">hidden</strong> <code class="def-code-arguments">off</code><a class="copiable-link" href="#index-hidden-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-hidden-3"><span><code class="def-type"><var class="var">mode</var> =</code> <strong class="def-name">hidden</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-hidden-3"> ¶</a></span></dt>
<dd><p>Control mesh hidden line removal.
</p>
<p>When called with no argument the hidden line removal state is toggled.
</p>
<p>When called with one of the modes <code class="code">"on"</code> or <code class="code">"off"</code> the state
is set accordingly.
</p>
<p>The optional output argument <var class="var">mode</var> is the current state.
</p>
<p>Hidden Line Removal determines what graphic objects behind a mesh plot
are visible. The default is for the mesh to be opaque and lines behind
the mesh are not visible. If hidden line removal is turned off then
objects behind the mesh can be seen through the faces (openings) of the
mesh, although the mesh grid lines are still opaque.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFmesh">mesh</a>, <a class="ref" href="#XREFmeshc">meshc</a>, <a class="ref" href="#XREFmeshz">meshz</a>, <a class="ref" href="Three_002ddimensional-Function-Plotting.html#XREFezmesh">ezmesh</a>, <a class="ref" href="Three_002ddimensional-Function-Plotting.html#XREFezmeshc">ezmeshc</a>, <a class="ref" href="Plotting-the-Triangulation.html#XREFtrimesh">trimesh</a>, <a class="ref" href="#XREFwaterfall">waterfall</a>.
</p></dd></dl>
<a class="anchor" id="XREFsurf"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-surf"><span><strong class="def-name">surf</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>)</code><a class="copiable-link" href="#index-surf"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-surf-1"><span><strong class="def-name">surf</strong> <code class="def-code-arguments">(<var class="var">z</var>)</code><a class="copiable-link" href="#index-surf-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-surf-2"><span><strong class="def-name">surf</strong> <code class="def-code-arguments">(…, <var class="var">c</var>)</code><a class="copiable-link" href="#index-surf-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-surf-3"><span><strong class="def-name">surf</strong> <code class="def-code-arguments">(…, <var class="var">prop</var>, <var class="var">val</var>, …)</code><a class="copiable-link" href="#index-surf-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-surf-4"><span><strong class="def-name">surf</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-surf-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-surf-5"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">surf</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-surf-5"> ¶</a></span></dt>
<dd><p>Plot a 3-D surface mesh.
</p>
<p>The surface mesh is plotted using shaded rectangles. The vertices of the
rectangles [<var class="var">x</var>, <var class="var">y</var>] are typically the output of <code class="code">meshgrid</code>.
over a 2-D rectangular region in the x-y plane. <var class="var">z</var> determines the
height above the plane of each vertex. If only a single <var class="var">z</var> matrix is
given, then it is plotted over the meshgrid
<code class="code"><var class="var">x</var> = 1:columns (<var class="var">z</var>), <var class="var">y</var> = 1:rows (<var class="var">z</var>)</code>.
Thus, columns of <var class="var">z</var> correspond to different <var class="var">x</var> values and rows
of <var class="var">z</var> correspond to different <var class="var">y</var> values.
</p>
<p>The color of the surface is computed by linearly scaling the <var class="var">z</var> values
to fit the range of the current colormap. Use <code class="code">clim</code> and/or
change the colormap to control the appearance.
</p>
<p>Optionally, the color of the surface can be specified independently of
<var class="var">z</var> by supplying a color matrix, <var class="var">c</var>.
</p>
<p>Any property/value pairs are passed directly to the underlying surface
object. The full list of properties is documented at
<a class="ref" href="Surface-Properties.html">Surface Properties</a>.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the created
surface object.
</p>
<p>Note: The exact appearance of the surface can be controlled with the
<code class="code">shading</code> command or by using <code class="code">set</code> to control surface object
properties.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="Three_002ddimensional-Function-Plotting.html#XREFezsurf">ezsurf</a>, <a class="ref" href="#XREFsurfc">surfc</a>, <a class="ref" href="#XREFsurfl">surfl</a>, <a class="ref" href="#XREFsurfnorm">surfnorm</a>, <a class="ref" href="Plotting-the-Triangulation.html#XREFtrisurf">trisurf</a>, <a class="ref" href="Two_002dDimensional-Plots.html#XREFcontour">contour</a>, <a class="ref" href="#XREFmesh">mesh</a>, <a class="ref" href="Creating-Graphics-Objects.html#XREFsurface">surface</a>, <a class="ref" href="#XREFmeshgrid">meshgrid</a>, <a class="ref" href="#XREFhidden">hidden</a>, <a class="ref" href="#XREFshading">shading</a>, <a class="ref" href="Representing-Images.html#XREFcolormap">colormap</a>, <a class="ref" href="Axis-Configuration.html#XREFclim">clim</a>.
</p></dd></dl>
<a class="anchor" id="XREFsurfc"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-surfc"><span><strong class="def-name">surfc</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>)</code><a class="copiable-link" href="#index-surfc"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-surfc-1"><span><strong class="def-name">surfc</strong> <code class="def-code-arguments">(<var class="var">z</var>)</code><a class="copiable-link" href="#index-surfc-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-surfc-2"><span><strong class="def-name">surfc</strong> <code class="def-code-arguments">(…, <var class="var">c</var>)</code><a class="copiable-link" href="#index-surfc-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-surfc-3"><span><strong class="def-name">surfc</strong> <code class="def-code-arguments">(…, <var class="var">prop</var>, <var class="var">val</var>, …)</code><a class="copiable-link" href="#index-surfc-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-surfc-4"><span><strong class="def-name">surfc</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-surfc-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-surfc-5"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">surfc</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-surfc-5"> ¶</a></span></dt>
<dd><p>Plot a 3-D surface mesh with underlying contour lines.
</p>
<p>The surface mesh is plotted using shaded rectangles. The vertices of the
rectangles [<var class="var">x</var>, <var class="var">y</var>] are typically the output of <code class="code">meshgrid</code>.
over a 2-D rectangular region in the x-y plane. <var class="var">z</var> determines the
height above the plane of each vertex. If only a single <var class="var">z</var> matrix is
given, then it is plotted over the meshgrid
<code class="code"><var class="var">x</var> = 1:columns (<var class="var">z</var>), <var class="var">y</var> = 1:rows (<var class="var">z</var>)</code>.
Thus, columns of <var class="var">z</var> correspond to different <var class="var">x</var> values and rows
of <var class="var">z</var> correspond to different <var class="var">y</var> values.
</p>
<p>The color of the surface is computed by linearly scaling the <var class="var">z</var> values
to fit the range of the current colormap. Use <code class="code">clim</code> and/or
change the colormap to control the appearance.
</p>
<p>Optionally, the color of the surface can be specified independently of
<var class="var">z</var> by supplying a color matrix, <var class="var">c</var>.
</p>
<p>Any property/value pairs are passed directly to the underlying surface
object. The full list of properties is documented at
<a class="ref" href="Surface-Properties.html">Surface Properties</a>.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the created
surface object.
</p>
<p>Note: The exact appearance of the surface can be controlled with the
<code class="code">shading</code> command or by using <code class="code">set</code> to control surface object
properties.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="Three_002ddimensional-Function-Plotting.html#XREFezsurfc">ezsurfc</a>, <a class="ref" href="#XREFsurf">surf</a>, <a class="ref" href="#XREFsurfl">surfl</a>, <a class="ref" href="#XREFsurfnorm">surfnorm</a>, <a class="ref" href="Plotting-the-Triangulation.html#XREFtrisurf">trisurf</a>, <a class="ref" href="Two_002dDimensional-Plots.html#XREFcontour">contour</a>, <a class="ref" href="#XREFmesh">mesh</a>, <a class="ref" href="Creating-Graphics-Objects.html#XREFsurface">surface</a>, <a class="ref" href="#XREFmeshgrid">meshgrid</a>, <a class="ref" href="#XREFhidden">hidden</a>, <a class="ref" href="#XREFshading">shading</a>, <a class="ref" href="Representing-Images.html#XREFcolormap">colormap</a>, <a class="ref" href="Axis-Configuration.html#XREFclim">clim</a>.
</p></dd></dl>
<a class="anchor" id="XREFsurfl"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-surfl"><span><strong class="def-name">surfl</strong> <code class="def-code-arguments">(<var class="var">z</var>)</code><a class="copiable-link" href="#index-surfl"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-surfl-1"><span><strong class="def-name">surfl</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>)</code><a class="copiable-link" href="#index-surfl-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-surfl-2"><span><strong class="def-name">surfl</strong> <code class="def-code-arguments">(…, <var class="var">lsrc</var>)</code><a class="copiable-link" href="#index-surfl-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-surfl-3"><span><strong class="def-name">surfl</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">lsrc</var>, <var class="var">P</var>)</code><a class="copiable-link" href="#index-surfl-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-surfl-4"><span><strong class="def-name">surfl</strong> <code class="def-code-arguments">(…, "cdata")</code><a class="copiable-link" href="#index-surfl-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-surfl-5"><span><strong class="def-name">surfl</strong> <code class="def-code-arguments">(…, "light")</code><a class="copiable-link" href="#index-surfl-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-surfl-6"><span><strong class="def-name">surfl</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-surfl-6"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-surfl-7"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">surfl</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-surfl-7"> ¶</a></span></dt>
<dd><p>Plot a 3-D surface using shading based on various lighting models.
</p>
<p>The surface mesh is plotted using shaded rectangles. The vertices of the
rectangles [<var class="var">x</var>, <var class="var">y</var>] are typically the output of <code class="code">meshgrid</code>.
over a 2-D rectangular region in the x-y plane. <var class="var">z</var> determines the
height above the plane of each vertex. If only a single <var class="var">z</var> matrix is
given, then it is plotted over the meshgrid
<code class="code"><var class="var">x</var> = 1:columns (<var class="var">z</var>), <var class="var">y</var> = 1:rows (<var class="var">z</var>)</code>.
Thus, columns of <var class="var">z</var> correspond to different <var class="var">x</var> values and rows
of <var class="var">z</var> correspond to different <var class="var">y</var> values.
</p>
<p>The default lighting mode <code class="code">"cdata"</code>, changes the cdata property of the
surface object to give the impression of a lighted surface.
</p>
<p>The alternate mode <code class="code">"light"</code> creates a light object to illuminate the
surface.
</p>
<p>The light source location may be specified using <var class="var">lsrc</var> which can be
a 2-element vector [azimuth, elevation] in degrees, or a 3-element vector
[lx, ly, lz]. The default value is rotated 45 degrees counterclockwise to
the current view.
</p>
<p>The material properties of the surface can specified using a 4-element
vector <var class="var">P</var> = [<var class="var">AM</var> <var class="var">D</var> <var class="var">SP</var> <var class="var">exp</var>] which defaults to
<var class="var">p</var> = [0.55 0.6 0.4 10].
</p>
<dl class="table">
<dt><code class="code">"AM"</code> strength of ambient light</dt>
<dt><code class="code">"D"</code> strength of diffuse reflection</dt>
<dt><code class="code">"SP"</code> strength of specular reflection</dt>
<dt><code class="code">"EXP"</code> specular exponent</dt>
</dl>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the created
surface object.
</p>
<p>Example:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">colormap (bone (64));
surfl (peaks);
shading interp;
</pre></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFdiffuse">diffuse</a>, <a class="ref" href="#XREFspecular">specular</a>, <a class="ref" href="#XREFsurf">surf</a>, <a class="ref" href="#XREFshading">shading</a>, <a class="ref" href="Representing-Images.html#XREFcolormap">colormap</a>, <a class="ref" href="Axis-Configuration.html#XREFclim">clim</a>.
</p></dd></dl>
<a class="anchor" id="XREFsurfnorm"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-surfnorm"><span><strong class="def-name">surfnorm</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>)</code><a class="copiable-link" href="#index-surfnorm"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-surfnorm-1"><span><strong class="def-name">surfnorm</strong> <code class="def-code-arguments">(<var class="var">z</var>)</code><a class="copiable-link" href="#index-surfnorm-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-surfnorm-2"><span><strong class="def-name">surfnorm</strong> <code class="def-code-arguments">(…, <var class="var">prop</var>, <var class="var">val</var>, …)</code><a class="copiable-link" href="#index-surfnorm-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-surfnorm-3"><span><strong class="def-name">surfnorm</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-surfnorm-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-surfnorm-4"><span><code class="def-type">[<var class="var">Nx</var>, <var class="var">Ny</var>, <var class="var">Nz</var>] =</code> <strong class="def-name">surfnorm</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-surfnorm-4"> ¶</a></span></dt>
<dd><p>Find the vectors normal to a meshgridded surface.
</p>
<p>If <var class="var">x</var> and <var class="var">y</var> are vectors, then a typical vertex is
(<var class="var">x</var>(j), <var class="var">y</var>(i), <var class="var">z</var>(i,j)). Thus, columns of <var class="var">z</var> correspond
to different <var class="var">x</var> values and rows of <var class="var">z</var> correspond to different
<var class="var">y</var> values. If only a single input <var class="var">z</var> is given then <var class="var">x</var> is
taken to be <code class="code">1:columns (<var class="var">z</var>)</code> and <var class="var">y</var> is
<code class="code">1:rows (<var class="var">z</var>)</code>.
</p>
<p>If no return arguments are requested, a surface plot with the normal
vectors to the surface is plotted.
</p>
<p>Any property/value input pairs are assigned to the surface object. The full
list of properties is documented at <a class="ref" href="Surface-Properties.html">Surface Properties</a>.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>If output arguments are requested then the components of the normal
vectors are returned in <var class="var">Nx</var>, <var class="var">Ny</var>, and <var class="var">Nz</var> and no plot is
made. The normal vectors are unnormalized (magnitude != 1). To normalize,
use
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">len = sqrt (nx.^2 + ny.^2 + nz.^2);
nx ./= len; ny ./= len; nz ./= len;
</pre></div></div>
<p>An example of the use of <code class="code">surfnorm</code> is
</p>
<div class="example">
<pre class="example-preformatted">surfnorm (peaks (25));
</pre></div>
<p>Algorithm: The normal vectors are calculated by taking the cross product
of the diagonals of each of the quadrilateral faces in the meshgrid to find
the normal vectors at the center of each face. Next, for each meshgrid
point the four nearest normal vectors are averaged to obtain the final
normal to the surface at the meshgrid point.
</p>
<p>For surface objects, the <code class="code">"VertexNormals"</code> property contains
equivalent information, except possibly near the boundary of the surface
where different interpolation schemes may yield slightly different values.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFisonormals">isonormals</a>, <a class="ref" href="Two_002dDimensional-Plots.html#XREFquiver3">quiver3</a>, <a class="ref" href="#XREFsurf">surf</a>, <a class="ref" href="#XREFmeshgrid">meshgrid</a>.
</p></dd></dl>
<a class="anchor" id="XREFisosurface"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-isosurface"><span><code class="def-type"><var class="var">fv</var> =</code> <strong class="def-name">isosurface</strong> <code class="def-code-arguments">(<var class="var">v</var>, <var class="var">isoval</var>)</code><a class="copiable-link" href="#index-isosurface"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isosurface-1"><span><code class="def-type"><var class="var">fv</var> =</code> <strong class="def-name">isosurface</strong> <code class="def-code-arguments">(<var class="var">v</var>)</code><a class="copiable-link" href="#index-isosurface-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isosurface-2"><span><code class="def-type"><var class="var">fv</var> =</code> <strong class="def-name">isosurface</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">v</var>, <var class="var">isoval</var>)</code><a class="copiable-link" href="#index-isosurface-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isosurface-3"><span><code class="def-type"><var class="var">fv</var> =</code> <strong class="def-name">isosurface</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">v</var>)</code><a class="copiable-link" href="#index-isosurface-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isosurface-4"><span><code class="def-type"><var class="var">fvc</var> =</code> <strong class="def-name">isosurface</strong> <code class="def-code-arguments">(…, <var class="var">col</var>)</code><a class="copiable-link" href="#index-isosurface-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isosurface-5"><span><code class="def-type"><var class="var">fv</var> =</code> <strong class="def-name">isosurface</strong> <code class="def-code-arguments">(…, "noshare")</code><a class="copiable-link" href="#index-isosurface-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isosurface-6"><span><code class="def-type"><var class="var">fv</var> =</code> <strong class="def-name">isosurface</strong> <code class="def-code-arguments">(…, "verbose")</code><a class="copiable-link" href="#index-isosurface-6"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isosurface-7"><span><code class="def-type">[<var class="var">f</var>, <var class="var">v</var>] =</code> <strong class="def-name">isosurface</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-isosurface-7"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isosurface-8"><span><code class="def-type">[<var class="var">f</var>, <var class="var">v</var>, <var class="var">c</var>] =</code> <strong class="def-name">isosurface</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-isosurface-8"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isosurface-9"><span><strong class="def-name">isosurface</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-isosurface-9"> ¶</a></span></dt>
<dd>
<p>Calculate isosurface of 3-D volume data.
</p>
<p>An isosurface connects points with the same value and is analogous to a
contour plot, but in three dimensions.
</p>
<p>The input argument <var class="var">v</var> is a three-dimensional array that contains data
sampled over a volume.
</p>
<p>The input <var class="var">isoval</var> is a scalar that specifies the value for the
isosurface. If <var class="var">isoval</var> is omitted or empty, a "good" value
for an isosurface is determined from <var class="var">v</var>.
</p>
<p>When called with a single output argument <code class="code">isosurface</code> returns a
structure array <var class="var">fv</var> that contains the fields <var class="var">faces</var> and
<var class="var">vertices</var> computed at the points
<code class="code">[<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>] = meshgrid (1:l, 1:m, 1:n)</code> where
<code class="code">[l, m, n] = size (<var class="var">v</var>)</code>. The output <var class="var">fv</var> can be
used directly as input to the <code class="code">patch</code> function.
</p>
<p>If called with additional input arguments <var class="var">x</var>, <var class="var">y</var>, and <var class="var">z</var>
that are three-dimensional arrays with the same size as <var class="var">v</var> or
vectors with lengths corresponding to the dimensions of <var class="var">v</var>, then the
volume data is taken at the specified points. If <var class="var">x</var>, <var class="var">y</var>, or
<var class="var">z</var> are empty, the grid corresponds to the indices (<code class="code">1:n</code>) in
the respective direction (see <a class="pxref" href="#XREFmeshgrid"><code class="code">meshgrid</code></a>).
</p>
<p>The optional input argument <var class="var">col</var>, which is a three-dimensional array
of the same size as <var class="var">v</var>, specifies coloring of the isosurface. The
color data is interpolated, as necessary, to match <var class="var">isoval</var>. The
output structure array, in this case, has the additional field
<var class="var">facevertexcdata</var>.
</p>
<p>If given the string input argument <code class="code">"noshare"</code>, vertices may be
returned multiple times for different faces. The default behavior is to
eliminate vertices shared by adjacent faces.
</p>
<p>The string input argument <code class="code">"verbose"</code> is supported for <small class="sc">MATLAB</small>
compatibility, but has no effect.
</p>
<p>Any string arguments must be passed after the other arguments.
</p>
<p>If called with two or three output arguments, return the information about
the faces <var class="var">f</var>, vertices <var class="var">v</var>, and color data <var class="var">c</var> as separate
arrays instead of a single structure array.
</p>
<p>If called with no output argument, the isosurface geometry is directly
plotted with the <code class="code">patch</code> command and a light object is added to
the axes if not yet present.
</p>
<p>For example,
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">[x, y, z] = meshgrid (1:5, 1:5, 1:5);
v = rand (5, 5, 5);
isosurface (x, y, z, v, .5);
</pre></div></div>
<p>will directly draw a random isosurface geometry in a graphics window.
</p>
<p>An example of an isosurface geometry with different additional coloring:
</p>
<div class="example smallexample">
<pre class="example-preformatted">N = 15; # Increase number of vertices in each direction
iso = .4; # Change isovalue to .1 to display a sphere
lin = linspace (0, 2, N);
[x, y, z] = meshgrid (lin, lin, lin);
v = abs ((x-.5).^2 + (y-.5).^2 + (z-.5).^2);
figure ();
subplot (2,2,1); view (-38, 20);
[f, vert] = isosurface (x, y, z, v, iso);
p = patch ("Faces", f, "Vertices", vert, "EdgeColor", "none");
pbaspect ([1 1 1]);
isonormals (x, y, z, v, p)
set (p, "FaceColor", "green", "FaceLighting", "gouraud");
light ("Position", [1 1 5]);
subplot (2,2,2); view (-38, 20);
p = patch ("Faces", f, "Vertices", vert, "EdgeColor", "blue");
pbaspect ([1 1 1]);
isonormals (x, y, z, v, p)
set (p, "FaceColor", "none", "EdgeLighting", "gouraud");
light ("Position", [1 1 5]);
subplot (2,2,3); view (-38, 20);
[f, vert, c] = isosurface (x, y, z, v, iso, y);
p = patch ("Faces", f, "Vertices", vert, "FaceVertexCData", c, ...
"FaceColor", "interp", "EdgeColor", "none");
pbaspect ([1 1 1]);
isonormals (x, y, z, v, p)
set (p, "FaceLighting", "gouraud");
light ("Position", [1 1 5]);
subplot (2,2,4); view (-38, 20);
p = patch ("Faces", f, "Vertices", vert, "FaceVertexCData", c, ...
"FaceColor", "interp", "EdgeColor", "blue");
pbaspect ([1 1 1]);
isonormals (x, y, z, v, p)
set (p, "FaceLighting", "gouraud");
light ("Position", [1 1 5]);
</pre></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFisonormals">isonormals</a>, <a class="ref" href="#XREFisocolors">isocolors</a>, <a class="ref" href="#XREFisocaps">isocaps</a>, <a class="ref" href="#XREFsmooth3">smooth3</a>, <a class="ref" href="#XREFreducevolume">reducevolume</a>, <a class="ref" href="#XREFreducepatch">reducepatch</a>, <a class="ref" href="Creating-Graphics-Objects.html#XREFpatch">patch</a>.
</p></dd></dl>
<a class="anchor" id="XREFisonormals"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-isonormals"><span><code class="def-type"><var class="var">vn</var> =</code> <strong class="def-name">isonormals</strong> <code class="def-code-arguments">(<var class="var">val</var>, <var class="var">vert</var>)</code><a class="copiable-link" href="#index-isonormals"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isonormals-1"><span><code class="def-type"><var class="var">vn</var> =</code> <strong class="def-name">isonormals</strong> <code class="def-code-arguments">(<var class="var">val</var>, <var class="var">hp</var>)</code><a class="copiable-link" href="#index-isonormals-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isonormals-2"><span><code class="def-type"><var class="var">vn</var> =</code> <strong class="def-name">isonormals</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">val</var>, <var class="var">vert</var>)</code><a class="copiable-link" href="#index-isonormals-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isonormals-3"><span><code class="def-type"><var class="var">vn</var> =</code> <strong class="def-name">isonormals</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">val</var>, <var class="var">hp</var>)</code><a class="copiable-link" href="#index-isonormals-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isonormals-4"><span><code class="def-type"><var class="var">vn</var> =</code> <strong class="def-name">isonormals</strong> <code class="def-code-arguments">(…, "negate")</code><a class="copiable-link" href="#index-isonormals-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isonormals-5"><span><strong class="def-name">isonormals</strong> <code class="def-code-arguments">(<var class="var">val</var>, <var class="var">hp</var>)</code><a class="copiable-link" href="#index-isonormals-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isonormals-6"><span><strong class="def-name">isonormals</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">val</var>, <var class="var">hp</var>)</code><a class="copiable-link" href="#index-isonormals-6"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isonormals-7"><span><strong class="def-name">isonormals</strong> <code class="def-code-arguments">(…, "negate")</code><a class="copiable-link" href="#index-isonormals-7"> ¶</a></span></dt>
<dd>
<p>Calculate normals to an isosurface.
</p>
<p>The vertex normals <var class="var">vn</var> are calculated from the gradient of the
3-dimensional array <var class="var">val</var> (size: lxmxn) containing the data for an
isosurface geometry. The normals point towards smaller values in <var class="var">val</var>.
</p>
<p>If called with one output argument <var class="var">vn</var>, and the second input argument
<var class="var">vert</var> holds the vertices of an isosurface, then the normals <var class="var">vn</var>
are calculated at the vertices <var class="var">vert</var> on a grid given by
<code class="code">[x, y, z] = meshgrid (1:l, 1:m, 1:n)</code>. The output argument
<var class="var">vn</var> has the same size as <var class="var">vert</var> and can be used to set the
<code class="code">"VertexNormals"</code> property of the corresponding patch.
</p>
<p>If called with additional input arguments <var class="var">x</var>, <var class="var">y</var>, and <var class="var">z</var>,
which are 3-dimensional arrays with the same size as <var class="var">val</var>,
then the volume data is taken at these points. Instead of the vertex data
<var class="var">vert</var>, a patch handle <var class="var">hp</var> can be passed to the function.
</p>
<p>If the last input argument is the string <code class="code">"negate"</code>, compute the
reverse vector normals of an isosurface geometry (i.e., pointed towards
larger values in <var class="var">val</var>).
</p>
<p>If no output argument is given, the property <code class="code">"VertexNormals"</code> of
the patch associated with the patch handle <var class="var">hp</var> is changed directly.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFisosurface">isosurface</a>, <a class="ref" href="#XREFisocolors">isocolors</a>, <a class="ref" href="#XREFsmooth3">smooth3</a>.
</p></dd></dl>
<a class="anchor" id="XREFisocaps"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-isocaps"><span><code class="def-type"><var class="var">fvc</var> =</code> <strong class="def-name">isocaps</strong> <code class="def-code-arguments">(<var class="var">v</var>, <var class="var">isoval</var>)</code><a class="copiable-link" href="#index-isocaps"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isocaps-1"><span><code class="def-type"><var class="var">fvc</var> =</code> <strong class="def-name">isocaps</strong> <code class="def-code-arguments">(<var class="var">v</var>)</code><a class="copiable-link" href="#index-isocaps-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isocaps-2"><span><code class="def-type"><var class="var">fvc</var> =</code> <strong class="def-name">isocaps</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">v</var>, <var class="var">isoval</var>)</code><a class="copiable-link" href="#index-isocaps-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isocaps-3"><span><code class="def-type"><var class="var">fvc</var> =</code> <strong class="def-name">isocaps</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">v</var>)</code><a class="copiable-link" href="#index-isocaps-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isocaps-4"><span><code class="def-type"><var class="var">fvc</var> =</code> <strong class="def-name">isocaps</strong> <code class="def-code-arguments">(…, <var class="var">which_caps</var>)</code><a class="copiable-link" href="#index-isocaps-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isocaps-5"><span><code class="def-type"><var class="var">fvc</var> =</code> <strong class="def-name">isocaps</strong> <code class="def-code-arguments">(…, <var class="var">which_plane</var>)</code><a class="copiable-link" href="#index-isocaps-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isocaps-6"><span><code class="def-type"><var class="var">fvc</var> =</code> <strong class="def-name">isocaps</strong> <code class="def-code-arguments">(…, <code class="code">"verbose"</code>)</code><a class="copiable-link" href="#index-isocaps-6"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isocaps-7"><span><code class="def-type">[<var class="var">faces</var>, <var class="var">vertices</var>, <var class="var">fvcdata</var>] =</code> <strong class="def-name">isocaps</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-isocaps-7"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isocaps-8"><span><strong class="def-name">isocaps</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-isocaps-8"> ¶</a></span></dt>
<dd>
<p>Create end-caps for isosurfaces of 3-D data.
</p>
<p>This function places caps at the open ends of isosurfaces.
</p>
<p>The input argument <var class="var">v</var> is a three-dimensional array that contains data
sampled over a volume.
</p>
<p>The input <var class="var">isoval</var> is a scalar that specifies the value for the
isosurface. If <var class="var">isoval</var> is omitted or empty, a "good" value
for an isosurface is determined from <var class="var">v</var>.
</p>
<p>When called with a single output argument, <code class="code">isocaps</code> returns a
structure array <var class="var">fvc</var> with the fields: <code class="code">faces</code>, <code class="code">vertices</code>,
and <code class="code">facevertexcdata</code>. The results are computed at the points
<code class="code">[<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>] = meshgrid (1:l, 1:m, 1:n)</code> where
<code class="code">[l, m, n] = size (<var class="var">v</var>)</code>. The output <var class="var">fvc</var> can be used
directly as input to the <code class="code">patch</code> function.
</p>
<p>If called with additional input arguments <var class="var">x</var>, <var class="var">y</var>, and <var class="var">z</var>
that are three-dimensional arrays with the same size as <var class="var">v</var> or
vectors with lengths corresponding to the dimensions of <var class="var">v</var>, then the
volume data is taken at the specified points. If <var class="var">x</var>, <var class="var">y</var>, or
<var class="var">z</var> are empty, the grid corresponds to the indices (<code class="code">1:n</code>) in
the respective direction (see <a class="pxref" href="#XREFmeshgrid"><code class="code">meshgrid</code></a>).
</p>
<p>The optional parameter <var class="var">which_caps</var> can have one of the following
string values which defines how the data will be enclosed:
</p>
<dl class="table">
<dt><code class="code">"above"</code>, <code class="code">"a"</code> (default)</dt>
<dd><p>for end-caps that enclose the data above <var class="var">isoval</var>.
</p>
</dd>
<dt><code class="code">"below"</code>, <code class="code">"b"</code></dt>
<dd><p>for end-caps that enclose the data below <var class="var">isoval</var>.
</p></dd>
</dl>
<p>The optional parameter <var class="var">which_plane</var> can have one of the following
string values to define which end-cap should be drawn:
</p>
<dl class="table">
<dt><code class="code">"all"</code> (default)</dt>
<dd><p>for all of the end-caps.
</p>
</dd>
<dt><code class="code">"xmin"</code></dt>
<dd><p>for end-caps at the lower x-plane of the data.
</p>
</dd>
<dt><code class="code">"xmax"</code></dt>
<dd><p>for end-caps at the upper x-plane of the data.
</p>
</dd>
<dt><code class="code">"ymin"</code></dt>
<dd><p>for end-caps at the lower y-plane of the data.
</p>
</dd>
<dt><code class="code">"ymax"</code></dt>
<dd><p>for end-caps at the upper y-plane of the data.
</p>
</dd>
<dt><code class="code">"zmin"</code></dt>
<dd><p>for end-caps at the lower z-plane of the data.
</p>
</dd>
<dt><code class="code">"zmax"</code></dt>
<dd><p>for end-caps at the upper z-plane of the data.
</p></dd>
</dl>
<p>The string input argument <code class="code">"verbose"</code> is supported for <small class="sc">MATLAB</small>
compatibility, but has no effect.
</p>
<p>If called with two or three output arguments, the data for faces
<var class="var">faces</var>, vertices <var class="var">vertices</var>, and the color data
<var class="var">facevertexcdata</var> are returned in separate arrays instead of a single
structure.
</p>
<p>If called with no output argument, the end-caps are drawn directly in the
current figure with the <code class="code">patch</code> command.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFisosurface">isosurface</a>, <a class="ref" href="#XREFisonormals">isonormals</a>, <a class="ref" href="Creating-Graphics-Objects.html#XREFpatch">patch</a>.
</p></dd></dl>
<a class="anchor" id="XREFisocolors"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-isocolors"><span><code class="def-type"><var class="var">cdat</var> =</code> <strong class="def-name">isocolors</strong> <code class="def-code-arguments">(<var class="var">c</var>, <var class="var">v</var>)</code><a class="copiable-link" href="#index-isocolors"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isocolors-1"><span><code class="def-type"><var class="var">cdat</var> =</code> <strong class="def-name">isocolors</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">c</var>, <var class="var">v</var>)</code><a class="copiable-link" href="#index-isocolors-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isocolors-2"><span><code class="def-type"><var class="var">cdat</var> =</code> <strong class="def-name">isocolors</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">r</var>, <var class="var">g</var>, <var class="var">b</var>, <var class="var">v</var>)</code><a class="copiable-link" href="#index-isocolors-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isocolors-3"><span><code class="def-type"><var class="var">cdat</var> =</code> <strong class="def-name">isocolors</strong> <code class="def-code-arguments">(<var class="var">r</var>, <var class="var">g</var>, <var class="var">b</var>, <var class="var">v</var>)</code><a class="copiable-link" href="#index-isocolors-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isocolors-4"><span><code class="def-type"><var class="var">cdat</var> =</code> <strong class="def-name">isocolors</strong> <code class="def-code-arguments">(…, <var class="var">hp</var>)</code><a class="copiable-link" href="#index-isocolors-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-isocolors-5"><span><strong class="def-name">isocolors</strong> <code class="def-code-arguments">(…, <var class="var">hp</var>)</code><a class="copiable-link" href="#index-isocolors-5"> ¶</a></span></dt>
<dd>
<p>Compute isosurface colors.
</p>
<p>If called with one output argument, and the first input argument <var class="var">c</var>
is a three-dimensional array that contains indexed color values, and the
second input argument <var class="var">v</var> are the vertices of an isosurface geometry,
then return a matrix <var class="var">cdat</var> with color data information for the geometry
at computed points <code class="code">[x, y, z] = meshgrid (1:l, 1:m, 1:n)</code>. The output
argument <var class="var">cdat</var> can be used to manually set the
<code class="code">"FaceVertexCData"</code> property of an isosurface patch object.
</p>
<p>If called with additional input arguments <var class="var">x</var>, <var class="var">y</var> and <var class="var">z</var> which
are three-dimensional arrays of the same size as <var class="var">c</var> then the
color data is taken at those specified points.
</p>
<p>Instead of indexed color data <var class="var">c</var>, <code class="code">isocolors</code> can also be called
with RGB values <var class="var">r</var>, <var class="var">g</var>, <var class="var">b</var>. If input arguments <var class="var">x</var>,
<var class="var">y</var>, <var class="var">z</var> are not given then <code class="code">meshgrid</code> computed values are
used.
</p>
<p>Optionally, a patch handle <var class="var">hp</var> can be given as the last input argument
to all function call variations and the vertex data will be extracted
from the isosurface patch object. Finally, if no output argument is given
then the colors of the patch given by the patch handle <var class="var">hp</var> are changed.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFisosurface">isosurface</a>, <a class="ref" href="#XREFisonormals">isonormals</a>.
</p></dd></dl>
<a class="anchor" id="XREFsmooth3"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-smooth3"><span><code class="def-type"><var class="var">smoothed_data</var> =</code> <strong class="def-name">smooth3</strong> <code class="def-code-arguments">(<var class="var">data</var>)</code><a class="copiable-link" href="#index-smooth3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-smooth3-1"><span><code class="def-type"><var class="var">smoothed_data</var> =</code> <strong class="def-name">smooth3</strong> <code class="def-code-arguments">(<var class="var">data</var>, <var class="var">method</var>)</code><a class="copiable-link" href="#index-smooth3-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-smooth3-2"><span><code class="def-type"><var class="var">smoothed_data</var> =</code> <strong class="def-name">smooth3</strong> <code class="def-code-arguments">(<var class="var">data</var>, <var class="var">method</var>, <var class="var">sz</var>)</code><a class="copiable-link" href="#index-smooth3-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-smooth3-3"><span><code class="def-type"><var class="var">smoothed_data</var> =</code> <strong class="def-name">smooth3</strong> <code class="def-code-arguments">(<var class="var">data</var>, <var class="var">method</var>, <var class="var">sz</var>, <var class="var">std_dev</var>)</code><a class="copiable-link" href="#index-smooth3-3"> ¶</a></span></dt>
<dd><p>Smooth values of 3-dimensional matrix <var class="var">data</var>.
</p>
<p>This function may be used, for example, to reduce the impact of noise in
<var class="var">data</var> before calculating isosurfaces.
</p>
<p><var class="var">data</var> must be a non-singleton 3-dimensional matrix. The output
<var class="var">smoothed_data</var> is a matrix of the same size as <var class="var">data</var>.
</p>
<p>The option input <var class="var">method</var> determines which convolution kernel is used
for the smoothing process. Possible choices:
</p>
<dl class="table">
<dt><code class="code">"box"</code>, <code class="code">"b"</code> (default)</dt>
<dd><p>a convolution kernel with sharp edges.
</p>
</dd>
<dt><code class="code">"gaussian"</code>, <code class="code">"g"</code></dt>
<dd><p>a convolution kernel that is represented by a non-correlated trivariate
normal distribution function.
</p></dd>
</dl>
<p><var class="var">sz</var> is either a 3-element vector specifying the size of the
convolution kernel in the x-, y- and z-directions, or a scalar. In the
scalar case the same size is used for all three dimensions
(<code class="code">[<var class="var">sz</var>, <var class="var">sz</var>, <var class="var">sz</var>]</code>). The default value is 3.
</p>
<p>If <var class="var">method</var> is <code class="code">"gaussian"</code> then the optional input <var class="var">std_dev</var>
defines the standard deviation of the trivariate normal distribution
function. <var class="var">std_dev</var> is either a 3-element vector specifying the
standard deviation of the Gaussian convolution kernel in x-, y- and
z-directions, or a scalar. In the scalar case the same value is used for
all three dimensions. The default value is 0.65.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFisosurface">isosurface</a>, <a class="ref" href="#XREFisonormals">isonormals</a>, <a class="ref" href="Creating-Graphics-Objects.html#XREFpatch">patch</a>.
</p></dd></dl>
<a class="anchor" id="XREFreducevolume"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-reducevolume"><span><code class="def-type">[<var class="var">nx</var>, <var class="var">ny</var>, <var class="var">nz</var>, <var class="var">nv</var>] =</code> <strong class="def-name">reducevolume</strong> <code class="def-code-arguments">(<var class="var">v</var>, <var class="var">r</var>)</code><a class="copiable-link" href="#index-reducevolume"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-reducevolume-1"><span><code class="def-type">[<var class="var">nx</var>, <var class="var">ny</var>, <var class="var">nz</var>, <var class="var">nv</var>] =</code> <strong class="def-name">reducevolume</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">v</var>, <var class="var">r</var>)</code><a class="copiable-link" href="#index-reducevolume-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-reducevolume-2"><span><code class="def-type"><var class="var">nv</var> =</code> <strong class="def-name">reducevolume</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-reducevolume-2"> ¶</a></span></dt>
<dd>
<p>Reduce the volume of the dataset in <var class="var">v</var> according to the values in
<var class="var">r</var>.
</p>
<p><var class="var">v</var> is a matrix that is non-singleton in the first 3 dimensions.
</p>
<p><var class="var">r</var> can either be a vector of 3 elements representing the reduction
factors in the x-, y-, and z-directions or a scalar, in which case the same
reduction factor is used in all three dimensions.
</p>
<p><code class="code">reducevolume</code> reduces the number of elements of <var class="var">v</var> by taking
only every <var class="var">r</var>-th element in the respective dimension.
</p>
<p>Optionally, <var class="var">x</var>, <var class="var">y</var>, and <var class="var">z</var> can be supplied to represent the
set of coordinates of <var class="var">v</var>. They can either be matrices of the same size
as <var class="var">v</var> or vectors with sizes according to the dimensions of <var class="var">v</var>, in
which case they are expanded to matrices
(see <a class="pxref" href="#XREFmeshgrid"><code class="code">meshgrid</code></a>).
</p>
<p>If <code class="code">reducevolume</code> is called with two arguments then <var class="var">x</var>, <var class="var">y</var>,
and <var class="var">z</var> are assumed to match the respective indices of <var class="var">v</var>.
</p>
<p>The reduced matrix is returned in <var class="var">nv</var>.
</p>
<p>Optionally, the reduced set of coordinates are returned in <var class="var">nx</var>,
<var class="var">ny</var>, and <var class="var">nz</var>, respectively.
</p>
<p>Examples:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted"><var class="var">v</var> = reshape (1:6*8*4, [6 8 4]);
<var class="var">nv</var> = reducevolume (<var class="var">v</var>, [4 3 2]);
</pre></div></div>
<div class="example">
<div class="group"><pre class="example-preformatted"><var class="var">v</var> = reshape (1:6*8*4, [6 8 4]);
<var class="var">x</var> = 1:3:24; <var class="var">y</var> = -14:5:11; <var class="var">z</var> = linspace (16, 18, 4);
[<var class="var">nx</var>, <var class="var">ny</var>, <var class="var">nz</var>, <var class="var">nv</var>] = reducevolume (<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">v</var>, [4 3 2]);
</pre></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFisosurface">isosurface</a>, <a class="ref" href="#XREFisonormals">isonormals</a>.
</p></dd></dl>
<a class="anchor" id="XREFreducepatch"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-reducepatch"><span><code class="def-type"><var class="var">reduced_fv</var> =</code> <strong class="def-name">reducepatch</strong> <code class="def-code-arguments">(<var class="var">fv</var>)</code><a class="copiable-link" href="#index-reducepatch"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-reducepatch-1"><span><code class="def-type"><var class="var">reduced_fv</var> =</code> <strong class="def-name">reducepatch</strong> <code class="def-code-arguments">(<var class="var">faces</var>, <var class="var">vertices</var>)</code><a class="copiable-link" href="#index-reducepatch-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-reducepatch-2"><span><code class="def-type"><var class="var">reduced_fv</var> =</code> <strong class="def-name">reducepatch</strong> <code class="def-code-arguments">(<var class="var">patch_handle</var>)</code><a class="copiable-link" href="#index-reducepatch-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-reducepatch-3"><span><strong class="def-name">reducepatch</strong> <code class="def-code-arguments">(<var class="var">patch_handle</var>)</code><a class="copiable-link" href="#index-reducepatch-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-reducepatch-4"><span><code class="def-type"><var class="var">reduced_fv</var> =</code> <strong class="def-name">reducepatch</strong> <code class="def-code-arguments">(…, <var class="var">reduction_factor</var>)</code><a class="copiable-link" href="#index-reducepatch-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-reducepatch-5"><span><code class="def-type"><var class="var">reduced_fv</var> =</code> <strong class="def-name">reducepatch</strong> <code class="def-code-arguments">(…, "fast")</code><a class="copiable-link" href="#index-reducepatch-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-reducepatch-6"><span><code class="def-type"><var class="var">reduced_fv</var> =</code> <strong class="def-name">reducepatch</strong> <code class="def-code-arguments">(…, "verbose")</code><a class="copiable-link" href="#index-reducepatch-6"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-reducepatch-7"><span><code class="def-type">[<var class="var">reduced_faces</var>, <var class="var">reduces_vertices</var>] =</code> <strong class="def-name">reducepatch</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-reducepatch-7"> ¶</a></span></dt>
<dd>
<p>Reduce the number of faces and vertices in a patch object while retaining
the overall shape of the patch.
</p>
<p>The input patch can be represented by a structure <var class="var">fv</var> with the
fields <code class="code">faces</code> and <code class="code">vertices</code>, by two matrices <var class="var">faces</var> and
<var class="var">vertices</var> (see, e.g., the result of <code class="code">isosurface</code>), or by a
handle to a patch object <var class="var">patch_handle</var>
(see <a class="pxref" href="Creating-Graphics-Objects.html#XREFpatch"><code class="code">patch</code></a>).
</p>
<p>The number of faces and vertices in the patch is reduced by iteratively
collapsing the shortest edge of the patch to its midpoint (as discussed,
e.g., here:
<a class="url" href="https://libigl.github.io/libigl/tutorial/tutorial.html#meshdecimation">https://libigl.github.io/libigl/tutorial/tutorial.html#meshdecimation</a>).
</p>
<p>Currently, only patches consisting of triangles are supported. The
resulting patch also consists only of triangles.
</p>
<p>If <code class="code">reducepatch</code> is called with a handle to a valid patch
<var class="var">patch_handle</var>, and without any output arguments, then the given
patch is updated immediately.
</p>
<p>If the <var class="var">reduction_factor</var> is omitted, the resulting structure
<var class="var">reduced_fv</var> includes approximately 50% of the faces of the original
patch. If <var class="var">reduction_factor</var> is a fraction between 0 (excluded) and 1
(excluded), a patch with approximately the corresponding fraction of faces
is determined.
If <var class="var">reduction_factor</var> is an integer greater than or equal to 1, the
resulting patch has approximately <var class="var">reduction_factor</var> faces. Depending
on the geometry of the patch, the resulting number of faces can differ from
the given value of <var class="var">reduction_factor</var>. This is especially true when
many shared vertices are detected.
</p>
<p>For the reduction, it is necessary that vertices of touching faces are
shared. Shared vertices are detected automatically. This detection can be
skipped by passing the optional string argument <code class="code">"fast"</code>.
</p>
<p>With the optional string arguments <code class="code">"verbose"</code>, additional status
messages are printed to the command window.
</p>
<p>Any string input arguments must be passed after all other arguments.
</p>
<p>If called with one output argument, the reduced faces and vertices are
returned in a structure <var class="var">reduced_fv</var> with the fields <code class="code">faces</code> and
<code class="code">vertices</code> (see the one output option of <code class="code">isosurface</code>).
</p>
<p>If called with two output arguments, the reduced faces and vertices are
returned in two separate matrices <var class="var">reduced_faces</var> and
<var class="var">reduced_vertices</var>.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFisosurface">isosurface</a>, <a class="ref" href="#XREFisonormals">isonormals</a>, <a class="ref" href="#XREFreducevolume">reducevolume</a>, <a class="ref" href="Creating-Graphics-Objects.html#XREFpatch">patch</a>.
</p></dd></dl>
<a class="anchor" id="XREFshrinkfaces"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-shrinkfaces"><span><strong class="def-name">shrinkfaces</strong> <code class="def-code-arguments">(<var class="var">p</var>, <var class="var">sf</var>)</code><a class="copiable-link" href="#index-shrinkfaces"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-shrinkfaces-1"><span><code class="def-type"><var class="var">nfv</var> =</code> <strong class="def-name">shrinkfaces</strong> <code class="def-code-arguments">(<var class="var">p</var>, <var class="var">sf</var>)</code><a class="copiable-link" href="#index-shrinkfaces-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-shrinkfaces-2"><span><code class="def-type"><var class="var">nfv</var> =</code> <strong class="def-name">shrinkfaces</strong> <code class="def-code-arguments">(<var class="var">fv</var>, <var class="var">sf</var>)</code><a class="copiable-link" href="#index-shrinkfaces-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-shrinkfaces-3"><span><code class="def-type"><var class="var">nfv</var> =</code> <strong class="def-name">shrinkfaces</strong> <code class="def-code-arguments">(<var class="var">f</var>, <var class="var">v</var>, <var class="var">sf</var>)</code><a class="copiable-link" href="#index-shrinkfaces-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-shrinkfaces-4"><span><code class="def-type">[<var class="var">nf</var>, <var class="var">nv</var>] =</code> <strong class="def-name">shrinkfaces</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-shrinkfaces-4"> ¶</a></span></dt>
<dd>
<p>Reduce the size of faces in a patch by the shrink factor <var class="var">sf</var>.
</p>
<p>The patch object can be specified by a graphics handle (<var class="var">p</var>), a patch
structure (<var class="var">fv</var>) with the fields <code class="code">"faces"</code> and <code class="code">"vertices"</code>,
or as two separate matrices (<var class="var">f</var>, <var class="var">v</var>) of faces and vertices.
</p>
<p>The shrink factor <var class="var">sf</var> is a positive number specifying the percentage
of the original area the new face will occupy. If no factor is given the
default is 0.3 (a reduction to 30% of the original size). A factor greater
than 1.0 will result in the expansion of faces.
</p>
<p>Given a patch handle as the first input argument and no output parameters,
perform the shrinking of the patch faces in place and redraw the patch.
</p>
<p>If called with one output argument, return a structure with fields
<code class="code">"faces"</code>, <code class="code">"vertices"</code>, and <code class="code">"facevertexcdata"</code>
containing the data after shrinking. This structure can be used directly
as an input argument to the <code class="code">patch</code> function.
</p>
<p><strong class="strong">Caution:</strong>: Performing the shrink operation on faces which are not
convex can lead to undesirable results.
</p>
<p>Example: a triangulated 3/4 circle and the corresponding shrunken version.
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">[phi r] = meshgrid (linspace (0, 1.5*pi, 16), linspace (1, 2, 4));
tri = delaunay (phi(:), r(:));
v = [r(:).*sin(phi(:)) r(:).*cos(phi(:))];
clf ()
p = patch ("Faces", tri, "Vertices", v, "FaceColor", "none");
fv = shrinkfaces (p);
patch (fv)
axis equal
grid on
</pre></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="Creating-Graphics-Objects.html#XREFpatch">patch</a>.
</p></dd></dl>
<a class="anchor" id="XREFdiffuse"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-diffuse"><span><code class="def-type"><var class="var">d</var> =</code> <strong class="def-name">diffuse</strong> <code class="def-code-arguments">(<var class="var">sx</var>, <var class="var">sy</var>, <var class="var">sz</var>, <var class="var">lv</var>)</code><a class="copiable-link" href="#index-diffuse"> ¶</a></span></dt>
<dd><p>Calculate the diffuse reflection strength of a surface defined by the normal
vector elements <var class="var">sx</var>, <var class="var">sy</var>, <var class="var">sz</var>.
</p>
<p>The light source location vector <var class="var">lv</var> can be given as a 2-element vector
[azimuth, elevation] in degrees or as a 3-element vector [x, y, z].
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFspecular">specular</a>, <a class="ref" href="#XREFsurfl">surfl</a>.
</p></dd></dl>
<a class="anchor" id="XREFspecular"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-specular"><span><code class="def-type"><var class="var">refl</var> =</code> <strong class="def-name">specular</strong> <code class="def-code-arguments">(<var class="var">sx</var>, <var class="var">sy</var>, <var class="var">sz</var>, <var class="var">lv</var>, <var class="var">vv</var>)</code><a class="copiable-link" href="#index-specular"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-specular-1"><span><code class="def-type"><var class="var">refl</var> =</code> <strong class="def-name">specular</strong> <code class="def-code-arguments">(<var class="var">sx</var>, <var class="var">sy</var>, <var class="var">sz</var>, <var class="var">lv</var>, <var class="var">vv</var>, <var class="var">se</var>)</code><a class="copiable-link" href="#index-specular-1"> ¶</a></span></dt>
<dd><p>Calculate the specular reflection strength of a surface defined by the
normal vector elements <var class="var">sx</var>, <var class="var">sy</var>, <var class="var">sz</var> using Phong’s
approximation.
</p>
<p>The light source location and viewer location vectors are specified using
parameters <var class="var">lv</var> and <var class="var">vv</var> respectively. The location vectors can
given as 2-element vectors [azimuth, elevation] in degrees or as 3-element
vectors [x, y, z].
</p>
<p>An optional sixth argument specifies the specular exponent (spread)
<var class="var">se</var>. If not given, <var class="var">se</var> defaults to 10.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFdiffuse">diffuse</a>, <a class="ref" href="#XREFsurfl">surfl</a>.
</p></dd></dl>
<a class="anchor" id="XREFlighting"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-lighting"><span><strong class="def-name">lighting</strong> <code class="def-code-arguments">(<var class="var">type</var>)</code><a class="copiable-link" href="#index-lighting"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-lighting-1"><span><strong class="def-name">lighting</strong> <code class="def-code-arguments">(<var class="var">hax</var>, <var class="var">type</var>)</code><a class="copiable-link" href="#index-lighting-1"> ¶</a></span></dt>
<dd><p>Set the lighting of patch or surface graphic objects.
</p>
<p>Valid arguments for <var class="var">type</var> are
</p>
<dl class="table">
<dt><code class="code">"flat"</code></dt>
<dd><p>Draw objects with faceted lighting effects.
</p>
</dd>
<dt><code class="code">"gouraud"</code></dt>
<dd><p>Draw objects with linear interpolation of the lighting effects between the
vertices.
</p>
</dd>
<dt><code class="code">"none"</code></dt>
<dd><p>Draw objects without light and shadow effects.
</p></dd>
</dl>
<p>If the first argument <var class="var">hax</var> is an axes handle, then change the lighting
effects of objects in this axes, rather than the current axes returned by
<code class="code">gca</code>.
</p>
<p>The lighting effects are only visible if at least one light object is
present and visible in the same axes.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="Creating-Graphics-Objects.html#XREFlight">light</a>, <a class="ref" href="Two_002dDimensional-Plots.html#XREFfill">fill</a>, <a class="ref" href="#XREFmesh">mesh</a>, <a class="ref" href="Creating-Graphics-Objects.html#XREFpatch">patch</a>, <a class="ref" href="Two_002dDimensional-Plots.html#XREFpcolor">pcolor</a>, <a class="ref" href="#XREFsurf">surf</a>, <a class="ref" href="Creating-Graphics-Objects.html#XREFsurface">surface</a>, <a class="ref" href="#XREFshading">shading</a>.
</p></dd></dl>
<a class="anchor" id="XREFmaterial"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-material"><span><strong class="def-name">material</strong> <code class="def-code-arguments">shiny</code><a class="copiable-link" href="#index-material"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-material-1"><span><strong class="def-name">material</strong> <code class="def-code-arguments">dull</code><a class="copiable-link" href="#index-material-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-material-2"><span><strong class="def-name">material</strong> <code class="def-code-arguments">metal</code><a class="copiable-link" href="#index-material-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-material-3"><span><strong class="def-name">material</strong> <code class="def-code-arguments">default</code><a class="copiable-link" href="#index-material-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-material-4"><span><strong class="def-name">material</strong> <code class="def-code-arguments">([<var class="var">as</var>, <var class="var">ds</var>, <var class="var">ss</var>])</code><a class="copiable-link" href="#index-material-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-material-5"><span><strong class="def-name">material</strong> <code class="def-code-arguments">([<var class="var">as</var>, <var class="var">ds</var>, <var class="var">ss</var>, <var class="var">se</var>])</code><a class="copiable-link" href="#index-material-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-material-6"><span><strong class="def-name">material</strong> <code class="def-code-arguments">([<var class="var">as</var>, <var class="var">ds</var>, <var class="var">ss</var>, <var class="var">se</var>, <var class="var">scr</var>])</code><a class="copiable-link" href="#index-material-6"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-material-7"><span><strong class="def-name">material</strong> <code class="def-code-arguments">(<var class="var">hlist</var>, …)</code><a class="copiable-link" href="#index-material-7"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-material-8"><span><code class="def-type"><var class="var">mtypes</var> =</code> <strong class="def-name">material</strong> <code class="def-code-arguments">()</code><a class="copiable-link" href="#index-material-8"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-material-9"><span><code class="def-type"><var class="var">refl_props</var> =</code> <strong class="def-name">material</strong> <code class="def-code-arguments">(<var class="var">mtype_string</var>)</code><a class="copiable-link" href="#index-material-9"> ¶</a></span></dt>
<dd><p>Set reflectance properties for the lighting of surfaces and patches.
</p>
<p>This function changes the ambient, diffuse, and specular strengths, as well
as the specular exponent and specular color reflectance, of all
<code class="code">patch</code> and <code class="code">surface</code> objects in the current axes. This can be
used to simulate, to some extent, the reflectance properties of certain
materials when used with <code class="code">light</code>.
</p>
<p>When called with a string, the aforementioned properties are set
according to the values in the following table:
</p>
<table class="multitable">
<thead><tr><th width="16%"><var class="var">mtype</var></th><th width="16%">ambient- strength</th><th width="16%">diffuse-
strength</th><th width="16%">specular- strength</th><th width="16%">specular- exponent</th><th width="16%">specular-
color- reflectance</th></tr></thead>
<tbody><tr><td width="16%"><code class="code">"shiny"</code></td><td width="16%">0.3</td><td width="16%">0.6</td><td width="16%">0.9</td><td width="16%">20</td><td width="16%">1.0</td></tr>
<tr><td width="16%"><code class="code">"dull"</code></td><td width="16%">0.3</td><td width="16%">0.8</td><td width="16%">0.0</td><td width="16%">10</td><td width="16%">1.0</td></tr>
<tr><td width="16%"><code class="code">"metal"</code></td><td width="16%">0.3</td><td width="16%">0.3</td><td width="16%">1.0</td><td width="16%">25</td><td width="16%">0.5</td></tr>
<tr><td width="16%"><code class="code">"default"</code></td><td width="16%"><code class="code">"default"</code></td><td width="16%"><code class="code">"default"</code></td><td width="16%"><code class="code">"default"</code></td><td width="16%"><code class="code">"default"</code></td><td width="16%"><code class="code">"default"</code></td></tr>
</tbody>
</table>
<p>When called with a vector of three elements, the ambient, diffuse, and
specular strengths of all <code class="code">patch</code> and <code class="code">surface</code> objects in the
current axes are updated. An optional fourth vector element updates the
specular exponent, and an optional fifth vector element updates the
specular color reflectance.
</p>
<p>A list of graphic handles can also be passed as the first argument. In
this case, the properties of these handles and all child <code class="code">patch</code> and
<code class="code">surface</code> objects will be updated.
</p>
<p>Additionally, <code class="code">material</code> can be called with a single output argument.
If called without input arguments, a column cell vector <var class="var">mtypes</var> with
the strings for all available materials is returned. If the one input
argument <var class="var">mtype_string</var> is the name of a material, a 1x5 cell vector
<var class="var">refl_props</var> with the reflectance properties of that material is
returned. In both cases, no graphic properties are changed.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="Creating-Graphics-Objects.html#XREFlight">light</a>, <a class="ref" href="Two_002dDimensional-Plots.html#XREFfill">fill</a>, <a class="ref" href="#XREFmesh">mesh</a>, <a class="ref" href="Creating-Graphics-Objects.html#XREFpatch">patch</a>, <a class="ref" href="Two_002dDimensional-Plots.html#XREFpcolor">pcolor</a>, <a class="ref" href="#XREFsurf">surf</a>, <a class="ref" href="Creating-Graphics-Objects.html#XREFsurface">surface</a>.
</p></dd></dl>
<a class="anchor" id="XREFcamlight"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-camlight"><span><strong class="def-name">camlight</strong><a class="copiable-link" href="#index-camlight"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camlight-1"><span><strong class="def-name">camlight</strong> <code class="def-code-arguments">right</code><a class="copiable-link" href="#index-camlight-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camlight-2"><span><strong class="def-name">camlight</strong> <code class="def-code-arguments">left</code><a class="copiable-link" href="#index-camlight-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camlight-3"><span><strong class="def-name">camlight</strong> <code class="def-code-arguments">headlight</code><a class="copiable-link" href="#index-camlight-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camlight-4"><span><strong class="def-name">camlight</strong> <code class="def-code-arguments">(<var class="var">az</var>, <var class="var">el</var>)</code><a class="copiable-link" href="#index-camlight-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camlight-5"><span><strong class="def-name">camlight</strong> <code class="def-code-arguments">(…, <var class="var">style</var>)</code><a class="copiable-link" href="#index-camlight-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camlight-6"><span><strong class="def-name">camlight</strong> <code class="def-code-arguments">(<var class="var">hl</var>, …)</code><a class="copiable-link" href="#index-camlight-6"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camlight-7"><span><strong class="def-name">camlight</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-camlight-7"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camlight-8"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">camlight</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-camlight-8"> ¶</a></span></dt>
<dd><p>Add a light object to a figure using a simple interface.
</p>
<p>When called with no arguments, a light object is added to the current plot
and is placed slightly above and to the right of the camera’s current
position: this is equivalent to <code class="code">camlight right</code>. The commands
<code class="code">camlight left</code> and <code class="code">camlight headlight</code> behave similarly with
the placement being either left of the camera position or centered on the
camera position.
</p>
<p>For more control, the light position can be specified by an azimuthal
rotation <var class="var">az</var> and an elevation angle <var class="var">el</var>, both in degrees,
relative to the current properties of the camera.
</p>
<p>The optional string <var class="var">style</var> specifies whether the light is a local point
source (<code class="code">"local"</code>, the default) or placed at infinite distance
(<code class="code">"infinite"</code>).
</p>
<p>If the first argument <var class="var">hl</var> is a handle to a light object, then act on
this light object rather than creating a new object.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then create a new light
object in this axes, rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the light object.
This can be used to move or further change properties of the light object.
</p>
<p>Examples:
</p>
<p>Add a light object to a plot
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">sphere (36);
camlight
</pre></div></div>
<p>Position the light source exactly
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">camlight (45, 30);
</pre></div></div>
<p>Here the light is first pitched upwards (see <a class="pxref" href="#XREFcamup"><code class="code">camup</code></a>)
from the camera position (see <a class="pxref" href="#XREFcampos"><code class="code">campos</code></a>) by 30
degrees. It is then yawed by 45 degrees to the right. Both rotations
are centered around the camera target
(see <a class="pxref" href="#XREFcamtarget"><code class="code">camtarget</code></a>).
</p>
<p>Return a handle to further manipulate the light object
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">clf
sphere (36);
hl = camlight ("left");
set (hl, "color", "r");
</pre></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="Creating-Graphics-Objects.html#XREFlight">light</a>.
</p></dd></dl>
<a class="anchor" id="XREFlightangle"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-lightangle"><span><strong class="def-name">lightangle</strong> <code class="def-code-arguments">(<var class="var">az</var>, <var class="var">el</var>)</code><a class="copiable-link" href="#index-lightangle"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-lightangle-1"><span><strong class="def-name">lightangle</strong> <code class="def-code-arguments">(<var class="var">hax</var>, <var class="var">az</var>, <var class="var">el</var>)</code><a class="copiable-link" href="#index-lightangle-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-lightangle-2"><span><strong class="def-name">lightangle</strong> <code class="def-code-arguments">(<var class="var">hl</var>, <var class="var">az</var>, <var class="var">el</var>)</code><a class="copiable-link" href="#index-lightangle-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-lightangle-3"><span><code class="def-type"><var class="var">hl</var> =</code> <strong class="def-name">lightangle</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-lightangle-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-lightangle-4"><span><code class="def-type">[<var class="var">az</var>, <var class="var">el</var>] =</code> <strong class="def-name">lightangle</strong> <code class="def-code-arguments">(<var class="var">hl</var>)</code><a class="copiable-link" href="#index-lightangle-4"> ¶</a></span></dt>
<dd><p>Add a light object to the current axes using spherical coordinates.
</p>
<p>The light position is specified by an azimuthal rotation <var class="var">az</var> and an
elevation angle <var class="var">el</var>, both in degrees.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then create a new light
object in this axes, rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>If the first argument <var class="var">hl</var> is a handle to a light object, then act on
this light object rather than creating a new object.
</p>
<p>The optional return value <var class="var">hl</var> is a graphics handle to the light object.
</p>
<p>Example:
</p>
<p>Add a light object to a plot
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">clf;
sphere (36);
lightangle (45, 30);
</pre></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="Creating-Graphics-Objects.html#XREFlight">light</a>, <a class="ref" href="#XREFview">view</a>, <a class="ref" href="#XREFcamlight">camlight</a>.
</p></dd></dl>
<a class="anchor" id="XREFmeshgrid"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-meshgrid"><span><code class="def-type">[<var class="var">xx</var>, <var class="var">yy</var>] =</code> <strong class="def-name">meshgrid</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>)</code><a class="copiable-link" href="#index-meshgrid"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-meshgrid-1"><span><code class="def-type">[<var class="var">xx</var>, <var class="var">yy</var>, <var class="var">zz</var>] =</code> <strong class="def-name">meshgrid</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>)</code><a class="copiable-link" href="#index-meshgrid-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-meshgrid-2"><span><code class="def-type">[<var class="var">xx</var>, <var class="var">yy</var>] =</code> <strong class="def-name">meshgrid</strong> <code class="def-code-arguments">(<var class="var">x</var>)</code><a class="copiable-link" href="#index-meshgrid-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-meshgrid-3"><span><code class="def-type">[<var class="var">xx</var>, <var class="var">yy</var>, <var class="var">zz</var>] =</code> <strong class="def-name">meshgrid</strong> <code class="def-code-arguments">(<var class="var">x</var>)</code><a class="copiable-link" href="#index-meshgrid-3"> ¶</a></span></dt>
<dd><p>Given vectors of <var class="var">x</var> and <var class="var">y</var> coordinates, return matrices <var class="var">xx</var>
and <var class="var">yy</var> corresponding to a full 2-D grid.
</p>
<p>The rows of <var class="var">xx</var> are copies of <var class="var">x</var>, and the columns of <var class="var">yy</var> are
copies of <var class="var">y</var>. If <var class="var">y</var> is omitted, then it is assumed to be the same
as <var class="var">x</var>.
</p>
<p>If the optional <var class="var">z</var> input is given, or <var class="var">zz</var> is requested, then the
output will be a full 3-D grid. If <var class="var">z</var> is omitted and <var class="var">zz</var> is
requested, it is assumed to be the same as <var class="var">y</var>.
</p>
<p><code class="code">meshgrid</code> is most frequently used to produce input for a 2-D or 3-D
function that will be plotted. The following example creates a surface
plot of the “sombrero” function.
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">f = @(x,y) sin (sqrt (x.^2 + y.^2)) ./ sqrt (x.^2 + y.^2);
range = linspace (-8, 8, 41);
[<var class="var">X</var>, <var class="var">Y</var>] = meshgrid (range, range);
Z = f (X, Y);
surf (X, Y, Z);
</pre></div></div>
<p>Programming Note: <code class="code">meshgrid</code> is restricted to 2-D or 3-D grid
generation. The <code class="code">ndgrid</code> function will generate 1-D through N-D
grids. However, the functions are not completely equivalent. If <var class="var">x</var>
is a vector of length M and <var class="var">y</var> is a vector of length N, then
<code class="code">meshgrid</code> will produce an output grid which is NxM. <code class="code">ndgrid</code>
will produce an output which is MxN (transpose) for the same
input. Some core functions expect <code class="code">meshgrid</code> input and others expect
<code class="code">ndgrid</code> input. Check the documentation for the function in question
to determine the proper input format.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFndgrid">ndgrid</a>, <a class="ref" href="#XREFmesh">mesh</a>, <a class="ref" href="Two_002dDimensional-Plots.html#XREFcontour">contour</a>, <a class="ref" href="#XREFsurf">surf</a>.
</p></dd></dl>
<a class="anchor" id="XREFndgrid"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-ndgrid"><span><code class="def-type">[<var class="var">y1</var>, <var class="var">y2</var>, …, <var class="var">y</var>n] =</code> <strong class="def-name">ndgrid</strong> <code class="def-code-arguments">(<var class="var">x1</var>, <var class="var">x2</var>, …, <var class="var">x</var>n)</code><a class="copiable-link" href="#index-ndgrid"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-ndgrid-1"><span><code class="def-type">[<var class="var">y1</var>, <var class="var">y2</var>, …, <var class="var">y</var>n] =</code> <strong class="def-name">ndgrid</strong> <code class="def-code-arguments">(<var class="var">x</var>)</code><a class="copiable-link" href="#index-ndgrid-1"> ¶</a></span></dt>
<dd><p>Given n vectors <var class="var">x1</var>, …, <var class="var">x</var>n, <code class="code">ndgrid</code> returns n
arrays of dimension n.
</p>
<p>The elements of the i-th output argument contains the elements of the
vector <var class="var">x</var>i repeated over all dimensions different from the i-th
dimension. Calling ndgrid with only one input argument <var class="var">x</var> is
equivalent to calling ndgrid with all n input arguments equal to <var class="var">x</var>:
</p>
<p>[<var class="var">y1</var>, <var class="var">y2</var>, …, <var class="var">y</var>n] = ndgrid (<var class="var">x</var>, …, <var class="var">x</var>)
</p>
<p>Programming Note: <code class="code">ndgrid</code> is very similar to the function
<code class="code">meshgrid</code> except that the first two dimensions are transposed in
comparison to <code class="code">meshgrid</code>. Some core functions expect <code class="code">meshgrid</code>
input and others expect <code class="code">ndgrid</code> input. Check the documentation for
the function in question to determine the proper input format.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFmeshgrid">meshgrid</a>.
</p></dd></dl>
<a class="anchor" id="XREFplot3"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-plot3"><span><strong class="def-name">plot3</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>)</code><a class="copiable-link" href="#index-plot3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-plot3-1"><span><strong class="def-name">plot3</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">prop</var>, <var class="var">value</var>, …)</code><a class="copiable-link" href="#index-plot3-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-plot3-2"><span><strong class="def-name">plot3</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-plot3-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-plot3-3"><span><strong class="def-name">plot3</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">cplx</var>)</code><a class="copiable-link" href="#index-plot3-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-plot3-4"><span><strong class="def-name">plot3</strong> <code class="def-code-arguments">(<var class="var">cplx</var>)</code><a class="copiable-link" href="#index-plot3-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-plot3-5"><span><strong class="def-name">plot3</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-plot3-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-plot3-6"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">plot3</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-plot3-6"> ¶</a></span></dt>
<dd><p>Produce 3-D plots.
</p>
<p>Many different combinations of arguments are possible. The simplest
form is
</p>
<div class="example">
<pre class="example-preformatted">plot3 (<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>)
</pre></div>
<p>in which the arguments are taken to be the vertices of the points to
be plotted in three dimensions. If all arguments are vectors of the
same length, then a single continuous line is drawn. If all arguments
are matrices, then each column of is treated as a separate line. No attempt
is made to transpose the arguments to make the number of rows match.
</p>
<p>If only two arguments are given, as
</p>
<div class="example">
<pre class="example-preformatted">plot3 (<var class="var">x</var>, <var class="var">cplx</var>)
</pre></div>
<p>the real and imaginary parts of the second argument are used
as the <var class="var">y</var> and <var class="var">z</var> coordinates, respectively.
</p>
<p>If only one argument is given, as
</p>
<div class="example">
<pre class="example-preformatted">plot3 (<var class="var">cplx</var>)
</pre></div>
<p>the real and imaginary parts of the argument are used as the <var class="var">y</var>
and <var class="var">z</var> values, and they are plotted versus their index.
</p>
<p>Arguments may also be given in groups of three as
</p>
<div class="example">
<pre class="example-preformatted">plot3 (<var class="var">x1</var>, <var class="var">y1</var>, <var class="var">z1</var>, <var class="var">x2</var>, <var class="var">y2</var>, <var class="var">z2</var>, ...)
</pre></div>
<p>in which each set of three arguments is treated as a separate line or
set of lines in three dimensions.
</p>
<p>To plot multiple one- or two-argument groups, separate each group
with an empty format string, as
</p>
<div class="example">
<pre class="example-preformatted">plot3 (<var class="var">x1</var>, <var class="var">c1</var>, "", <var class="var">c2</var>, "", ...)
</pre></div>
<p>Multiple property-value pairs may be specified which will affect the line
objects drawn by <code class="code">plot3</code>. If the <var class="var">fmt</var> argument is supplied it
will format the line objects in the same manner as <code class="code">plot</code>.
The full list of properties is documented at
<a class="ref" href="Line-Properties.html">Line Properties</a>.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the created plot.
</p>
<p>Example:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">z = [0:0.05:5];
plot3 (cos (2*pi*z), sin (2*pi*z), z, ";helix;");
plot3 (z, exp (2i*pi*z), ";complex sinusoid;");
</pre></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="Three_002ddimensional-Function-Plotting.html#XREFezplot3">ezplot3</a>, <a class="ref" href="Two_002dDimensional-Plots.html#XREFplot">plot</a>.
</p></dd></dl>
<a class="anchor" id="XREFview"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-view"><span><strong class="def-name">view</strong> <code class="def-code-arguments">(<var class="var">azimuth</var>, <var class="var">elevation</var>)</code><a class="copiable-link" href="#index-view"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-view-1"><span><strong class="def-name">view</strong> <code class="def-code-arguments">([<var class="var">azimuth</var> <var class="var">elevation</var>])</code><a class="copiable-link" href="#index-view-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-view-2"><span><strong class="def-name">view</strong> <code class="def-code-arguments">([<var class="var">x</var> <var class="var">y</var> <var class="var">z</var>])</code><a class="copiable-link" href="#index-view-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-view-3"><span><strong class="def-name">view</strong> <code class="def-code-arguments">(2)</code><a class="copiable-link" href="#index-view-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-view-4"><span><strong class="def-name">view</strong> <code class="def-code-arguments">(3)</code><a class="copiable-link" href="#index-view-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-view-5"><span><strong class="def-name">view</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-view-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-view-6"><span><code class="def-type">[<var class="var">azimuth</var>, <var class="var">elevation</var>] =</code> <strong class="def-name">view</strong> <code class="def-code-arguments">()</code><a class="copiable-link" href="#index-view-6"> ¶</a></span></dt>
<dd><p>Query or set the viewpoint for the current axes.
</p>
<p>The parameters <var class="var">azimuth</var> and <var class="var">elevation</var> can be given as two
arguments or as 2-element vector. The viewpoint can also be specified with
Cartesian coordinates <var class="var">x</var>, <var class="var">y</var>, and <var class="var">z</var>.
</p>
<p>The call <code class="code">view (2)</code> sets the viewpoint to
<var class="var">azimuth</var> = 0<!-- /@w --> and <var class="var">elevation</var> = 90<!-- /@w -->, which is the default
for 2-D graphs.
</p>
<p>The call <code class="code">view (3)</code> sets the viewpoint to
<var class="var">azimuth</var> = -37.5<!-- /@w --> and <var class="var">elevation</var> = 30<!-- /@w -->, which is the
default for 3-D graphs.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then operate on
this axes rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>If no inputs are given, return the current <var class="var">azimuth</var> and
<var class="var">elevation</var>.
</p></dd></dl>
<a class="anchor" id="XREFcamlookat"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-camlookat"><span><strong class="def-name">camlookat</strong> <code class="def-code-arguments">()</code><a class="copiable-link" href="#index-camlookat"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camlookat-1"><span><strong class="def-name">camlookat</strong> <code class="def-code-arguments">(<var class="var">h</var>)</code><a class="copiable-link" href="#index-camlookat-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camlookat-2"><span><strong class="def-name">camlookat</strong> <code class="def-code-arguments">(<var class="var">handle_list</var>)</code><a class="copiable-link" href="#index-camlookat-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camlookat-3"><span><strong class="def-name">camlookat</strong> <code class="def-code-arguments">(<var class="var">hax</var>)</code><a class="copiable-link" href="#index-camlookat-3"> ¶</a></span></dt>
<dd><p>Move the camera and adjust its properties to look at objects.
</p>
<p>When the input is a handle <var class="var">h</var>, the camera is set to point toward the
center of the bounding box of <var class="var">h</var>. The camera’s position is adjusted so
the bounding box approximately fills the field of view.
</p>
<p>This command fixes the camera’s viewing direction
(<code class="code">camtarget() - campos()</code>), camera up vector
(see <a class="pxref" href="#XREFcamup"><code class="code">camup</code></a>) and viewing angle
(see <a class="pxref" href="#XREFcamva"><code class="code">camva</code></a>). The camera target
(see <a class="pxref" href="#XREFcamtarget"><code class="code">camtarget</code></a>) and camera position
(see <a class="pxref" href="#XREFcampos"><code class="code">campos</code></a>) are changed.
</p>
<p>If the argument is a list <var class="var">handle_list</var>, then a single bounding box for
all the objects is computed and the camera is then adjusted as above.
</p>
<p>If the argument is an axis object <var class="var">hax</var>, then the children of the axis
are used as <var class="var">handle_list</var>. When called with no inputs, it uses the
current axis (see <a class="pxref" href="Handle-Functions.html#XREFgca"><code class="code">gca</code></a>).
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFcamorbit">camorbit</a>, <a class="ref" href="#XREFcamzoom">camzoom</a>, <a class="ref" href="#XREFcamroll">camroll</a>.
</p></dd></dl>
<a class="anchor" id="XREFcampos"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-campos"><span><code class="def-type"><var class="var">p</var> =</code> <strong class="def-name">campos</strong> <code class="def-code-arguments">()</code><a class="copiable-link" href="#index-campos"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-campos-1"><span><strong class="def-name">campos</strong> <code class="def-code-arguments">([<var class="var">x</var> <var class="var">y</var> <var class="var">z</var>])</code><a class="copiable-link" href="#index-campos-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-campos-2"><span><code class="def-type"><var class="var">mode</var> =</code> <strong class="def-name">campos</strong> <code class="def-code-arguments">("mode")</code><a class="copiable-link" href="#index-campos-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-campos-3"><span><strong class="def-name">campos</strong> <code class="def-code-arguments">(<var class="var">mode</var>)</code><a class="copiable-link" href="#index-campos-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-campos-4"><span><strong class="def-name">campos</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-campos-4"> ¶</a></span></dt>
<dd><p>Get or set the camera position.
</p>
<p>The default camera position is determined automatically based on the scene.
For example, to get the camera position:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">hf = figure();
peaks()
p = campos ()
⇒ p =
-27.394 -35.701 64.079
</pre></div></div>
<p>We can then move the camera further up the z-axis:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">campos (p + [0 0 10])
campos ()
⇒ ans =
-27.394 -35.701 74.079
</pre></div></div>
<p>Having made that change, the camera position <var class="var">mode</var> is now manual:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">campos ("mode")
⇒ manual
</pre></div></div>
<p>We can set it back to automatic:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">campos ("auto")
campos ()
⇒ ans =
-27.394 -35.701 64.079
close (hf)
</pre></div></div>
<p>By default, these commands affect the current axis; alternatively, an axis
can be specified by the optional argument <var class="var">hax</var>.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFcamup">camup</a>, <a class="ref" href="#XREFcamtarget">camtarget</a>, <a class="ref" href="#XREFcamva">camva</a>.
</p></dd></dl>
<a class="anchor" id="XREFcamorbit"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-camorbit"><span><strong class="def-name">camorbit</strong> <code class="def-code-arguments">(<var class="var">theta</var>, <var class="var">phi</var>)</code><a class="copiable-link" href="#index-camorbit"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camorbit-1"><span><strong class="def-name">camorbit</strong> <code class="def-code-arguments">(<var class="var">theta</var>, <var class="var">phi</var>, <var class="var">coorsys</var>)</code><a class="copiable-link" href="#index-camorbit-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camorbit-2"><span><strong class="def-name">camorbit</strong> <code class="def-code-arguments">(<var class="var">theta</var>, <var class="var">phi</var>, <var class="var">coorsys</var>, <var class="var">dir</var>)</code><a class="copiable-link" href="#index-camorbit-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camorbit-3"><span><strong class="def-name">camorbit</strong> <code class="def-code-arguments">(<var class="var">theta</var>, <var class="var">phi</var>, "data")</code><a class="copiable-link" href="#index-camorbit-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camorbit-4"><span><strong class="def-name">camorbit</strong> <code class="def-code-arguments">(<var class="var">theta</var>, <var class="var">phi</var>, "data", "z")</code><a class="copiable-link" href="#index-camorbit-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camorbit-5"><span><strong class="def-name">camorbit</strong> <code class="def-code-arguments">(<var class="var">theta</var>, <var class="var">phi</var>, "data", "x")</code><a class="copiable-link" href="#index-camorbit-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camorbit-6"><span><strong class="def-name">camorbit</strong> <code class="def-code-arguments">(<var class="var">theta</var>, <var class="var">phi</var>, "data", "y")</code><a class="copiable-link" href="#index-camorbit-6"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camorbit-7"><span><strong class="def-name">camorbit</strong> <code class="def-code-arguments">(<var class="var">theta</var>, <var class="var">phi</var>, "data", [<var class="var">x</var> <var class="var">y</var> <var class="var">z</var>])</code><a class="copiable-link" href="#index-camorbit-7"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camorbit-8"><span><strong class="def-name">camorbit</strong> <code class="def-code-arguments">(<var class="var">theta</var>, <var class="var">phi</var>, "camera")</code><a class="copiable-link" href="#index-camorbit-8"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camorbit-9"><span><strong class="def-name">camorbit</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-camorbit-9"> ¶</a></span></dt>
<dd><p>Rotate the camera up/down and left/right around its target.
</p>
<p>Move the camera <var class="var">phi</var> degrees up and <var class="var">theta</var> degrees to the right,
as if it were in an orbit around its target.
Example:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">sphere ()
camorbit (30, 20)
</pre></div></div>
<p>These rotations are centered around the camera target
(see <a class="pxref" href="#XREFcamtarget"><code class="code">camtarget</code></a>).
First the camera position is pitched up or down by rotating it <var class="var">phi</var>
degrees around an axis orthogonal to both the viewing direction
(specifically <code class="code">camtarget() - campos()</code>) and the camera “up vector”
(see <a class="pxref" href="#XREFcamup"><code class="code">camup</code></a>).
Example:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">camorbit (0, 20)
</pre></div></div>
<p>The second rotation depends on the coordinate system <var class="var">coorsys</var> and
direction <var class="var">dir</var> inputs.
The default for <var class="var">coorsys</var> is <code class="code">"data"</code>. In this case, the camera
is yawed left or right by rotating it <var class="var">theta</var> degrees around an axis
specified by <var class="var">dir</var>.
The default for <var class="var">dir</var> is <code class="code">"z"</code>, corresponding to the vector
<code class="code">[0, 0, 1]</code>.
Example:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">camorbit (30, 0)
</pre></div></div>
<p>When <var class="var">coorsys</var> is set to <code class="code">"camera"</code>, the camera is moved left or
right by rotating it around an axis parallel to the camera up vector
(see <a class="pxref" href="#XREFcamup"><code class="code">camup</code></a>).
The input <var class="var">dir</var> should not be specified in this case.
Example:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">camorbit (30, 0, "camera")
</pre></div></div>
<p>(Note: the rotation by <var class="var">phi</var> is unaffected by <code class="code">"camera"</code>.)
</p>
<p>The <code class="code">camorbit</code> command modifies two camera properties:
<a class="ref" href="#XREFcampos"><code class="code">campos</code></a> and <a class="ref" href="#XREFcamup"><code class="code">camup</code></a>.
</p>
<p>By default, this command affects the current axis; alternatively, an axis
can be specified by the optional argument <var class="var">hax</var>.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFcamzoom">camzoom</a>, <a class="ref" href="#XREFcamroll">camroll</a>, <a class="ref" href="#XREFcamlookat">camlookat</a>.
</p></dd></dl>
<a class="anchor" id="XREFcamroll"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-camroll"><span><strong class="def-name">camroll</strong> <code class="def-code-arguments">(<var class="var">theta</var>)</code><a class="copiable-link" href="#index-camroll"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camroll-1"><span><strong class="def-name">camroll</strong> <code class="def-code-arguments">(<var class="var">hax</var>, <var class="var">theta</var>)</code><a class="copiable-link" href="#index-camroll-1"> ¶</a></span></dt>
<dd><p>Roll the camera.
</p>
<p>Roll the camera clockwise by <var class="var">theta</var> degrees.
For example, the following command will roll the camera by
30 degrees clockwise (to the right); this will cause the scene
to appear to roll by 30 degrees to the left:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">peaks ()
camroll (30)
</pre></div></div>
<p>Roll the camera back:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">camroll (-30)
</pre></div></div>
<p>The following command restores the default camera roll:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">camup ("auto")
</pre></div></div>
<p>By default, these commands affect the current axis; alternatively, an axis
can be specified by the optional argument <var class="var">hax</var>.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFcamzoom">camzoom</a>, <a class="ref" href="#XREFcamorbit">camorbit</a>, <a class="ref" href="#XREFcamlookat">camlookat</a>, <a class="ref" href="#XREFcamup">camup</a>.
</p></dd></dl>
<a class="anchor" id="XREFcamtarget"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-camtarget"><span><code class="def-type"><var class="var">t</var> =</code> <strong class="def-name">camtarget</strong> <code class="def-code-arguments">()</code><a class="copiable-link" href="#index-camtarget"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camtarget-1"><span><strong class="def-name">camtarget</strong> <code class="def-code-arguments">([<var class="var">x</var> <var class="var">y</var> <var class="var">z</var>])</code><a class="copiable-link" href="#index-camtarget-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camtarget-2"><span><code class="def-type"><var class="var">mode</var> =</code> <strong class="def-name">camtarget</strong> <code class="def-code-arguments">("mode")</code><a class="copiable-link" href="#index-camtarget-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camtarget-3"><span><strong class="def-name">camtarget</strong> <code class="def-code-arguments">(<var class="var">mode</var>)</code><a class="copiable-link" href="#index-camtarget-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camtarget-4"><span><strong class="def-name">camtarget</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-camtarget-4"> ¶</a></span></dt>
<dd><p>Get or set where the camera is pointed.
</p>
<p>The camera target is a point in space where the camera is pointing.
Usually, it is determined automatically based on the scene:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">hf = figure();
sphere (36)
v = camtarget ()
⇒ v =
0 0 0
</pre></div></div>
<p>We can turn the camera to point at a new target:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">camtarget ([1 1 1])
camtarget ()
⇒ 1 1 1
</pre></div></div>
<p>Having done so, the camera target <var class="var">mode</var> is manual:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">camtarget ("mode")
⇒ manual
</pre></div></div>
<p>This means, for example, adding new objects to the scene will not retarget
the camera:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">hold on;
peaks ()
camtarget ()
⇒ 1 1 1
</pre></div></div>
<p>We can reset it to be automatic:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">camtarget ("auto")
camtarget ()
⇒ 0 0 0.76426
close (hf)
</pre></div></div>
<p>By default, these commands affect the current axis; alternatively, an axis
can be specified by the optional argument <var class="var">hax</var>.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFcampos">campos</a>, <a class="ref" href="#XREFcamup">camup</a>, <a class="ref" href="#XREFcamva">camva</a>.
</p></dd></dl>
<a class="anchor" id="XREFcamup"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-camup"><span><code class="def-type"><var class="var">up</var> =</code> <strong class="def-name">camup</strong> <code class="def-code-arguments">()</code><a class="copiable-link" href="#index-camup"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camup-1"><span><strong class="def-name">camup</strong> <code class="def-code-arguments">([<var class="var">x</var> <var class="var">y</var> <var class="var">z</var>])</code><a class="copiable-link" href="#index-camup-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camup-2"><span><code class="def-type"><var class="var">mode</var> =</code> <strong class="def-name">camup</strong> <code class="def-code-arguments">("mode")</code><a class="copiable-link" href="#index-camup-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camup-3"><span><strong class="def-name">camup</strong> <code class="def-code-arguments">(<var class="var">mode</var>)</code><a class="copiable-link" href="#index-camup-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camup-4"><span><strong class="def-name">camup</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-camup-4"> ¶</a></span></dt>
<dd><p>Get or set the camera up vector.
</p>
<p>By default, the camera is oriented so that “up” corresponds to the
positive z-axis:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">hf = figure ();
sphere (36)
v = camup ()
⇒ v =
0 0 1
</pre></div></div>
<p>Specifying a new “up vector” rolls the camera and sets the mode to manual:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">camup ([1 1 0])
camup ()
⇒ 1 1 0
camup ("mode")
⇒ manual
</pre></div></div>
<p>Modifying the up vector does not modify the camera target
(see <a class="pxref" href="#XREFcamtarget"><code class="code">camtarget</code></a>). Thus, the camera up vector might
not be orthogonal to the direction of the camera’s view:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">camup ([1 2 3])
dot (camup (), camtarget () - campos ())
⇒ 6...
</pre></div></div>
<p>A consequence is that “pulling back” on the up vector does not pitch the
camera view (as that would require changing the target). Setting the up
vector is thus typically used only to roll the camera. A more intuitive
command for this purpose is <a class="ref" href="#XREFcamroll"><code class="code">camroll</code></a>.
</p>
<p>Finally, we can reset the up vector to automatic mode:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">camup ("auto")
camup ()
⇒ 0 0 1
close (hf)
</pre></div></div>
<p>By default, these commands affect the current axis; alternatively, an axis
can be specified by the optional argument <var class="var">hax</var>.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFcampos">campos</a>, <a class="ref" href="#XREFcamtarget">camtarget</a>, <a class="ref" href="#XREFcamva">camva</a>.
</p></dd></dl>
<a class="anchor" id="XREFcamva"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-camva"><span><code class="def-type"><var class="var">a</var> =</code> <strong class="def-name">camva</strong> <code class="def-code-arguments">()</code><a class="copiable-link" href="#index-camva"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camva-1"><span><strong class="def-name">camva</strong> <code class="def-code-arguments">(<var class="var">a</var>)</code><a class="copiable-link" href="#index-camva-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camva-2"><span><code class="def-type"><var class="var">mode</var> =</code> <strong class="def-name">camva</strong> <code class="def-code-arguments">("mode")</code><a class="copiable-link" href="#index-camva-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camva-3"><span><strong class="def-name">camva</strong> <code class="def-code-arguments">(<var class="var">mode</var>)</code><a class="copiable-link" href="#index-camva-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camva-4"><span><strong class="def-name">camva</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-camva-4"> ¶</a></span></dt>
<dd><p>Get or set the camera viewing angle.
</p>
<p>The camera has a viewing angle which determines how much can be seen. By
default this is:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">hf = figure();
sphere (36)
a = camva ()
⇒ a = 10.340
</pre></div></div>
<p>To get a wider-angle view, we could double the viewing angle. This will
also set the mode to manual:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">camva (2*a)
camva ("mode")
⇒ manual
</pre></div></div>
<p>We can set it back to automatic:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">camva ("auto")
camva ("mode")
⇒ auto
camva ()
⇒ ans = 10.340
close (hf)
</pre></div></div>
<p>By default, these commands affect the current axis; alternatively, an axis
can be specified by the optional argument <var class="var">hax</var>.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFcampos">campos</a>, <a class="ref" href="#XREFcamtarget">camtarget</a>, <a class="ref" href="#XREFcamup">camup</a>.
</p></dd></dl>
<a class="anchor" id="XREFcamzoom"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-camzoom"><span><strong class="def-name">camzoom</strong> <code class="def-code-arguments">(<var class="var">zf</var>)</code><a class="copiable-link" href="#index-camzoom"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-camzoom-1"><span><strong class="def-name">camzoom</strong> <code class="def-code-arguments">(<var class="var">hax</var>, <var class="var">zf</var>)</code><a class="copiable-link" href="#index-camzoom-1"> ¶</a></span></dt>
<dd><p>Zoom the camera in or out.
</p>
<p>A value of <var class="var">zf</var> larger than 1 “zooms in” such that the scene appears
magnified:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">hf = figure ();
sphere (36)
camzoom (1.2)
</pre></div></div>
<p>A value smaller than 1 “zooms out” so the camera can see more of the
scene:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">camzoom (0.5)
</pre></div></div>
<p>Technically speaking, zooming affects the “viewing angle”. The following
command resets to the default zoom:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">camva ("auto")
close (hf)
</pre></div></div>
<p>By default, these commands affect the current axis; alternatively, an axis
can be specified by the optional argument <var class="var">hax</var>.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFcamroll">camroll</a>, <a class="ref" href="#XREFcamorbit">camorbit</a>, <a class="ref" href="#XREFcamlookat">camlookat</a>, <a class="ref" href="#XREFcamva">camva</a>.
</p></dd></dl>
<a class="anchor" id="XREFslice"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-slice"><span><strong class="def-name">slice</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">v</var>, <var class="var">sx</var>, <var class="var">sy</var>, <var class="var">sz</var>)</code><a class="copiable-link" href="#index-slice"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-slice-1"><span><strong class="def-name">slice</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">v</var>, <var class="var">xi</var>, <var class="var">yi</var>, <var class="var">zi</var>)</code><a class="copiable-link" href="#index-slice-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-slice-2"><span><strong class="def-name">slice</strong> <code class="def-code-arguments">(<var class="var">v</var>, <var class="var">sx</var>, <var class="var">sy</var>, <var class="var">sz</var>)</code><a class="copiable-link" href="#index-slice-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-slice-3"><span><strong class="def-name">slice</strong> <code class="def-code-arguments">(<var class="var">v</var>, <var class="var">xi</var>, <var class="var">yi</var>, <var class="var">zi</var>)</code><a class="copiable-link" href="#index-slice-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-slice-4"><span><strong class="def-name">slice</strong> <code class="def-code-arguments">(…, <var class="var">method</var>)</code><a class="copiable-link" href="#index-slice-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-slice-5"><span><strong class="def-name">slice</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-slice-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-slice-6"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">slice</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-slice-6"> ¶</a></span></dt>
<dd><p>Plot slices of 3-D data/scalar fields.
</p>
<p>Each element of the 3-dimensional array <var class="var">v</var> represents a scalar value at
a location given by the parameters <var class="var">x</var>, <var class="var">y</var>, and <var class="var">z</var>. The
parameters <var class="var">x</var>, <var class="var">y</var>, and <var class="var">z</var> are either 3-dimensional arrays of
the same size as the array <var class="var">v</var> in the <code class="code">"meshgrid"</code> format or
vectors. The parameters <var class="var">xi</var>, etc. respect a similar format to
<var class="var">x</var>, etc., and they represent the points at which the array <var class="var">vi</var>
is interpolated using interp3. The vectors <var class="var">sx</var>, <var class="var">sy</var>, and
<var class="var">sz</var> contain points of orthogonal slices of the respective axes.
</p>
<p>If <var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var> are omitted, they are assumed to be
<code class="code">x = 1:size (<var class="var">v</var>, 2)</code>, <code class="code">y = 1:size (<var class="var">v</var>, 1)</code> and
<code class="code">z = 1:size (<var class="var">v</var>, 3)</code>.
</p>
<p><var class="var">method</var> is one of:
</p>
<dl class="table">
<dt><code class="code">"nearest"</code></dt>
<dd><p>Return the nearest neighbor.
</p>
</dd>
<dt><code class="code">"linear"</code></dt>
<dd><p>Linear interpolation from nearest neighbors.
</p>
</dd>
<dt><code class="code">"cubic"</code></dt>
<dd><p>Cubic interpolation from four nearest neighbors (not implemented yet).
</p>
</dd>
<dt><code class="code">"spline"</code></dt>
<dd><p>Cubic spline interpolation—smooth first and second derivatives
throughout the curve.
</p></dd>
</dl>
<p>The default method is <code class="code">"linear"</code>.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the created
surface object.
</p>
<p>Examples:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">[x, y, z] = meshgrid (linspace (-8, 8, 32));
v = sin (sqrt (x.^2 + y.^2 + z.^2)) ./ (sqrt (x.^2 + y.^2 + z.^2));
slice (x, y, z, v, [], 0, []);
[xi, yi] = meshgrid (linspace (-7, 7));
zi = xi + yi;
slice (x, y, z, v, xi, yi, zi);
</pre></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="Multi_002ddimensional-Interpolation.html#XREFinterp3">interp3</a>, <a class="ref" href="Creating-Graphics-Objects.html#XREFsurface">surface</a>, <a class="ref" href="Two_002dDimensional-Plots.html#XREFpcolor">pcolor</a>.
</p></dd></dl>
<a class="anchor" id="XREFribbon"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-ribbon"><span><strong class="def-name">ribbon</strong> <code class="def-code-arguments">(<var class="var">y</var>)</code><a class="copiable-link" href="#index-ribbon"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-ribbon-1"><span><strong class="def-name">ribbon</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>)</code><a class="copiable-link" href="#index-ribbon-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-ribbon-2"><span><strong class="def-name">ribbon</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">width</var>)</code><a class="copiable-link" href="#index-ribbon-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-ribbon-3"><span><strong class="def-name">ribbon</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-ribbon-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-ribbon-4"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">ribbon</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-ribbon-4"> ¶</a></span></dt>
<dd><p>Draw a ribbon plot for the columns of <var class="var">y</var> vs. <var class="var">x</var>.
</p>
<p>If <var class="var">x</var> is omitted, a vector containing the row numbers is assumed
(<code class="code">1:rows (Y)</code>). Alternatively, <var class="var">x</var> can also be a vector with
same number of elements as rows of <var class="var">y</var> in which case the same
<var class="var">x</var> is used for each column of <var class="var">y</var>.
</p>
<p>The optional parameter <var class="var">width</var> specifies the width of a single ribbon
(default is 0.75).
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a vector of graphics handles to
the surface objects representing each ribbon.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="Creating-Graphics-Objects.html#XREFsurface">surface</a>, <a class="ref" href="#XREFwaterfall">waterfall</a>.
</p></dd></dl>
<a class="anchor" id="XREFshading"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-shading"><span><strong class="def-name">shading</strong> <code class="def-code-arguments">(<var class="var">type</var>)</code><a class="copiable-link" href="#index-shading"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-shading-1"><span><strong class="def-name">shading</strong> <code class="def-code-arguments">(<var class="var">hax</var>, <var class="var">type</var>)</code><a class="copiable-link" href="#index-shading-1"> ¶</a></span></dt>
<dd><p>Set the shading of patch or surface graphic objects.
</p>
<p>Valid arguments for <var class="var">type</var> are
</p>
<dl class="table">
<dt><code class="code">"flat"</code></dt>
<dd><p>Single colored patches with invisible edges.
</p>
</dd>
<dt><code class="code">"faceted"</code></dt>
<dd><p>Single colored patches with black edges.
</p>
</dd>
<dt><code class="code">"interp"</code></dt>
<dd><p>Colors between patch vertices are interpolated and the patch edges are
invisible.
</p></dd>
</dl>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="Two_002dDimensional-Plots.html#XREFfill">fill</a>, <a class="ref" href="#XREFmesh">mesh</a>, <a class="ref" href="Creating-Graphics-Objects.html#XREFpatch">patch</a>, <a class="ref" href="Two_002dDimensional-Plots.html#XREFpcolor">pcolor</a>, <a class="ref" href="#XREFsurf">surf</a>, <a class="ref" href="Creating-Graphics-Objects.html#XREFsurface">surface</a>, <a class="ref" href="#XREFhidden">hidden</a>, <a class="ref" href="#XREFlighting">lighting</a>.
</p></dd></dl>
<a class="anchor" id="XREFscatter3"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-scatter3"><span><strong class="def-name">scatter3</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>)</code><a class="copiable-link" href="#index-scatter3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-scatter3-1"><span><strong class="def-name">scatter3</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">s</var>)</code><a class="copiable-link" href="#index-scatter3-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-scatter3-2"><span><strong class="def-name">scatter3</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">s</var>, <var class="var">c</var>)</code><a class="copiable-link" href="#index-scatter3-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-scatter3-3"><span><strong class="def-name">scatter3</strong> <code class="def-code-arguments">(…, <var class="var">style</var>)</code><a class="copiable-link" href="#index-scatter3-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-scatter3-4"><span><strong class="def-name">scatter3</strong> <code class="def-code-arguments">(…, "filled")</code><a class="copiable-link" href="#index-scatter3-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-scatter3-5"><span><strong class="def-name">scatter3</strong> <code class="def-code-arguments">(…, <var class="var">prop</var>, <var class="var">val</var>)</code><a class="copiable-link" href="#index-scatter3-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-scatter3-6"><span><strong class="def-name">scatter3</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-scatter3-6"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-scatter3-7"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">scatter3</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-scatter3-7"> ¶</a></span></dt>
<dd><p>Draw a 3-D scatter plot.
</p>
<p>A marker is plotted at each point defined by the coordinates in the vectors
<var class="var">x</var>, <var class="var">y</var>, and <var class="var">z</var>.
</p>
<p>The size of the markers is determined by <var class="var">s</var>, which can be a scalar
or a vector of the same length as <var class="var">x</var>, <var class="var">y</var>, and <var class="var">z</var>. If <var class="var">s</var>
is not given, or is an empty matrix, then a default value of 8 points is
used.
</p>
<p>The color of the markers is determined by <var class="var">c</var>, which can be a string
defining a fixed color; a 3-element vector giving the red, green, and blue
components of the color; a vector of the same length as <var class="var">x</var> that gives
a scaled index into the current colormap; or an Nx3 matrix
defining the RGB color of each marker individually.
</p>
<p>The marker to use can be changed with the <var class="var">style</var> argument, that is a
string defining a marker in the same manner as the <code class="code">plot</code> command.
If no marker is specified it defaults to <code class="code">"o"</code> or circles.
If the argument <code class="code">"filled"</code> is given then the markers are filled.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the scatter
object representing the points.
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">[x, y, z] = peaks (20);
scatter3 (x(:), y(:), z(:), [], z(:));
</pre></div></div>
<p>Programming Note: The full list of properties is documented at
<a class="ref" href="Scatter-Properties.html">Scatter Properties</a>.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="Two_002dDimensional-Plots.html#XREFscatter">scatter</a>, <a class="ref" href="Creating-Graphics-Objects.html#XREFpatch">patch</a>, <a class="ref" href="Two_002dDimensional-Plots.html#XREFplot">plot</a>.
</p></dd></dl>
<a class="anchor" id="XREFwaterfall"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-waterfall"><span><strong class="def-name">waterfall</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>)</code><a class="copiable-link" href="#index-waterfall"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-waterfall-1"><span><strong class="def-name">waterfall</strong> <code class="def-code-arguments">(<var class="var">z</var>)</code><a class="copiable-link" href="#index-waterfall-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-waterfall-2"><span><strong class="def-name">waterfall</strong> <code class="def-code-arguments">(…, <var class="var">c</var>)</code><a class="copiable-link" href="#index-waterfall-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-waterfall-3"><span><strong class="def-name">waterfall</strong> <code class="def-code-arguments">(…, <var class="var">prop</var>, <var class="var">val</var>, …)</code><a class="copiable-link" href="#index-waterfall-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-waterfall-4"><span><strong class="def-name">waterfall</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-waterfall-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-waterfall-5"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">waterfall</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-waterfall-5"> ¶</a></span></dt>
<dd><p>Plot a 3-D waterfall plot.
</p>
<p>A waterfall plot is similar to a <code class="code">meshz</code> plot except only
mesh lines for the rows of <var class="var">z</var> (x-values) are shown.
</p>
<p>The wireframe mesh is plotted using rectangles. The vertices of the
rectangles [<var class="var">x</var>, <var class="var">y</var>] are typically the output of <code class="code">meshgrid</code>.
over a 2-D rectangular region in the x-y plane. <var class="var">z</var> determines the
height above the plane of each vertex. If only a single <var class="var">z</var> matrix is
given, then it is plotted over the meshgrid
<code class="code"><var class="var">x</var> = 1:columns (<var class="var">z</var>), <var class="var">y</var> = 1:rows (<var class="var">z</var>)</code>.
Thus, columns of <var class="var">z</var> correspond to different <var class="var">x</var> values and rows
of <var class="var">z</var> correspond to different <var class="var">y</var> values.
</p>
<p>The color of the mesh is computed by linearly scaling the <var class="var">z</var> values
to fit the range of the current colormap. Use <code class="code">clim</code> and/or
change the colormap to control the appearance.
</p>
<p>Optionally the color of the mesh can be specified independently of <var class="var">z</var>
by supplying a color matrix, <var class="var">c</var>.
</p>
<p>Any property/value pairs are passed directly to the underlying surface
object. The full list of properties is documented at
<a class="ref" href="Surface-Properties.html">Surface Properties</a>.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the created
surface object.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFmeshz">meshz</a>, <a class="ref" href="#XREFmesh">mesh</a>, <a class="ref" href="#XREFmeshc">meshc</a>, <a class="ref" href="Two_002dDimensional-Plots.html#XREFcontour">contour</a>, <a class="ref" href="#XREFsurf">surf</a>, <a class="ref" href="Creating-Graphics-Objects.html#XREFsurface">surface</a>, <a class="ref" href="#XREFribbon">ribbon</a>, <a class="ref" href="#XREFmeshgrid">meshgrid</a>, <a class="ref" href="#XREFhidden">hidden</a>, <a class="ref" href="#XREFshading">shading</a>, <a class="ref" href="Representing-Images.html#XREFcolormap">colormap</a>, <a class="ref" href="Axis-Configuration.html#XREFclim">clim</a>.
</p></dd></dl>
<ul class="mini-toc">
<li><a href="Aspect-Ratio.html" accesskey="1">Aspect Ratio</a></li>
<li><a href="Three_002ddimensional-Function-Plotting.html" accesskey="2">Three-dimensional Function Plotting</a></li>
<li><a href="Three_002ddimensional-Geometric-Shapes.html" accesskey="3">Three-dimensional Geometric Shapes</a></li>
</ul>
</div>
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