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<span id="Three_002ddimensional-Function-Plotting"></span><div class="header">
<p>
Next: <a href="Three_002ddimensional-Geometric-Shapes.html" accesskey="n" rel="next">Three-dimensional Geometric Shapes</a>, Previous: <a href="Aspect-Ratio.html" accesskey="p" rel="prev">Aspect Ratio</a>, Up: <a href="Three_002dDimensional-Plots.html" accesskey="u" rel="up">Three-Dimensional Plots</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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<hr>
<span id="Three_002ddimensional-Function-Plotting-1"></span><h4 class="subsubsection">15.2.2.2 Three-dimensional Function Plotting</h4>
<span id="XREFezplot3"></span><dl>
<dt id="index-ezplot3">: <em></em> <strong>ezplot3</strong> <em>(<var>fx</var>, <var>fy</var>, <var>fz</var>)</em></dt>
<dt id="index-ezplot3-1">: <em></em> <strong>ezplot3</strong> <em>(…, <var>dom</var>)</em></dt>
<dt id="index-ezplot3-2">: <em></em> <strong>ezplot3</strong> <em>(…, <var>n</var>)</em></dt>
<dt id="index-ezplot3-3">: <em></em> <strong>ezplot3</strong> <em>(…, "animate")</em></dt>
<dt id="index-ezplot3-4">: <em></em> <strong>ezplot3</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-ezplot3-5">: <em><var>h</var> =</em> <strong>ezplot3</strong> <em>(…)</em></dt>
<dd>
<p>Plot a parametrically defined curve in three dimensions.
</p>
<p><var>fx</var>, <var>fy</var>, and <var>fz</var> are strings, inline functions,
or function handles with one argument defining the function. By
default the plot is over the domain <code>0 <= <var>t</var> <= 2*pi</code>
with 500 points.
</p>
<p>If <var>dom</var> is a two element vector, it represents the minimum and maximum
values of <var>t</var>.
</p>
<p><var>n</var> is a scalar defining the number of points to use in plotting the
function.
</p>
<p>If the <code>"animate"</code> option is given then the plotting is animated
in the style of <code>comet3</code>.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <var>h</var> is a graphics handle to the created plot.
</p>
<div class="example">
<pre class="example">fx = @(t) cos (t);
fy = @(t) sin (t);
fz = @(t) t;
ezplot3 (fx, fy, fz, [0, 10*pi], 100);
</pre></div>
<p><strong>See also:</strong> <a href="Three_002dDimensional-Plots.html#XREFplot3">plot3</a>, <a href="Two_002dDimensional-Plots.html#XREFcomet3">comet3</a>, <a href="Two_002ddimensional-Function-Plotting.html#XREFezplot">ezplot</a>, <a href="#XREFezmesh">ezmesh</a>, <a href="#XREFezsurf">ezsurf</a>.
</p></dd></dl>
<span id="XREFezmesh"></span><dl>
<dt id="index-ezmesh">: <em></em> <strong>ezmesh</strong> <em>(<var>f</var>)</em></dt>
<dt id="index-ezmesh-1">: <em></em> <strong>ezmesh</strong> <em>(<var>fx</var>, <var>fy</var>, <var>fz</var>)</em></dt>
<dt id="index-ezmesh-2">: <em></em> <strong>ezmesh</strong> <em>(…, <var>dom</var>)</em></dt>
<dt id="index-ezmesh-3">: <em></em> <strong>ezmesh</strong> <em>(…, <var>n</var>)</em></dt>
<dt id="index-ezmesh-4">: <em></em> <strong>ezmesh</strong> <em>(…, "circ")</em></dt>
<dt id="index-ezmesh-5">: <em></em> <strong>ezmesh</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-ezmesh-6">: <em><var>h</var> =</em> <strong>ezmesh</strong> <em>(…)</em></dt>
<dd>
<p>Plot the mesh defined by a function.
</p>
<p><var>f</var> is a string, inline function, or function handle with two arguments
defining the function. By default the plot is over the meshed domain
<code>-2*pi <= <var>x</var> | <var>y</var> <= 2*pi</code> with 60 points in each dimension.
</p>
<p>If three functions are passed, then plot the parametrically defined
function <code>[<var>fx</var>(<var>s</var>, <var>t</var>), <var>fy</var>(<var>s</var>, <var>t</var>),
<var>fz</var>(<var>s</var>, <var>t</var>)]</code>.
</p>
<p>If <var>dom</var> is a two element vector, it represents the minimum and maximum
values of both <var>x</var> and <var>y</var>. If <var>dom</var> is a four element vector,
then the minimum and maximum values are <code>[xmin xmax ymin ymax]</code>.
</p>
<p><var>n</var> is a scalar defining the number of points to use in each dimension.
</p>
<p>If the argument <code>"circ"</code> is given, then the function is plotted over
a disk centered on the middle of the domain <var>dom</var>.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <var>h</var> is a graphics handle to the created
surface object.
</p>
<p>Example 1: 2-argument function
</p>
<div class="example">
<pre class="example">f = @(x,y) sqrt (abs (x .* y)) ./ (1 + x.^2 + y.^2);
ezmesh (f, [-3, 3]);
</pre></div>
<p>Example 2: parametrically defined function
</p>
<div class="example">
<pre class="example">fx = @(s,t) cos (s) .* cos (t);
fy = @(s,t) sin (s) .* cos (t);
fz = @(s,t) sin (t);
ezmesh (fx, fy, fz, [-pi, pi, -pi/2, pi/2], 20);
</pre></div>
<p><strong>See also:</strong> <a href="Three_002dDimensional-Plots.html#XREFmesh">mesh</a>, <a href="#XREFezmeshc">ezmeshc</a>, <a href="Two_002ddimensional-Function-Plotting.html#XREFezplot">ezplot</a>, <a href="#XREFezsurf">ezsurf</a>, <a href="#XREFezsurfc">ezsurfc</a>, <a href="Three_002dDimensional-Plots.html#XREFhidden">hidden</a>.
</p></dd></dl>
<span id="XREFezmeshc"></span><dl>
<dt id="index-ezmeshc">: <em></em> <strong>ezmeshc</strong> <em>(<var>f</var>)</em></dt>
<dt id="index-ezmeshc-1">: <em></em> <strong>ezmeshc</strong> <em>(<var>fx</var>, <var>fy</var>, <var>fz</var>)</em></dt>
<dt id="index-ezmeshc-2">: <em></em> <strong>ezmeshc</strong> <em>(…, <var>dom</var>)</em></dt>
<dt id="index-ezmeshc-3">: <em></em> <strong>ezmeshc</strong> <em>(…, <var>n</var>)</em></dt>
<dt id="index-ezmeshc-4">: <em></em> <strong>ezmeshc</strong> <em>(…, "circ")</em></dt>
<dt id="index-ezmeshc-5">: <em></em> <strong>ezmeshc</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-ezmeshc-6">: <em><var>h</var> =</em> <strong>ezmeshc</strong> <em>(…)</em></dt>
<dd>
<p>Plot the mesh and contour lines defined by a function.
</p>
<p><var>f</var> is a string, inline function, or function handle with two arguments
defining the function. By default the plot is over the meshed domain
<code>-2*pi <= <var>x</var> | <var>y</var> <= 2*pi</code> with 60 points in each dimension.
</p>
<p>If three functions are passed, then plot the parametrically defined
function <code>[<var>fx</var>(<var>s</var>, <var>t</var>), <var>fy</var>(<var>s</var>, <var>t</var>),
<var>fz</var>(<var>s</var>, <var>t</var>)]</code>.
</p>
<p>If <var>dom</var> is a two element vector, it represents the minimum and maximum
values of both <var>x</var> and <var>y</var>. If <var>dom</var> is a four element vector,
then the minimum and maximum values are <code>[xmin xmax ymin ymax]</code>.
</p>
<p><var>n</var> is a scalar defining the number of points to use in each dimension.
</p>
<p>If the argument <code>"circ"</code> is given, then the function is plotted over
a disk centered on the middle of the domain <var>dom</var>.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <var>h</var> is a 2-element vector with a graphics
handle for the created mesh plot and a second handle for the created contour
plot.
</p>
<p>Example: 2-argument function
</p>
<div class="example">
<pre class="example">f = @(x,y) sqrt (abs (x .* y)) ./ (1 + x.^2 + y.^2);
ezmeshc (f, [-3, 3]);
</pre></div>
<p><strong>See also:</strong> <a href="Three_002dDimensional-Plots.html#XREFmeshc">meshc</a>, <a href="#XREFezmesh">ezmesh</a>, <a href="Two_002ddimensional-Function-Plotting.html#XREFezplot">ezplot</a>, <a href="#XREFezsurf">ezsurf</a>, <a href="#XREFezsurfc">ezsurfc</a>, <a href="Three_002dDimensional-Plots.html#XREFhidden">hidden</a>.
</p></dd></dl>
<span id="XREFezsurf"></span><dl>
<dt id="index-ezsurf">: <em></em> <strong>ezsurf</strong> <em>(<var>f</var>)</em></dt>
<dt id="index-ezsurf-1">: <em></em> <strong>ezsurf</strong> <em>(<var>fx</var>, <var>fy</var>, <var>fz</var>)</em></dt>
<dt id="index-ezsurf-2">: <em></em> <strong>ezsurf</strong> <em>(…, <var>dom</var>)</em></dt>
<dt id="index-ezsurf-3">: <em></em> <strong>ezsurf</strong> <em>(…, <var>n</var>)</em></dt>
<dt id="index-ezsurf-4">: <em></em> <strong>ezsurf</strong> <em>(…, "circ")</em></dt>
<dt id="index-ezsurf-5">: <em></em> <strong>ezsurf</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-ezsurf-6">: <em><var>h</var> =</em> <strong>ezsurf</strong> <em>(…)</em></dt>
<dd>
<p>Plot the surface defined by a function.
</p>
<p><var>f</var> is a string, inline function, or function handle with two arguments
defining the function. By default the plot is over the meshed domain
<code>-2*pi <= <var>x</var> | <var>y</var> <= 2*pi</code> with 60 points in each dimension.
</p>
<p>If three functions are passed, then plot the parametrically defined
function <code>[<var>fx</var>(<var>s</var>, <var>t</var>), <var>fy</var>(<var>s</var>, <var>t</var>),
<var>fz</var>(<var>s</var>, <var>t</var>)]</code>.
</p>
<p>If <var>dom</var> is a two element vector, it represents the minimum and maximum
values of both <var>x</var> and <var>y</var>. If <var>dom</var> is a four element vector,
then the minimum and maximum values are <code>[xmin xmax ymin ymax]</code>.
</p>
<p><var>n</var> is a scalar defining the number of points to use in each dimension.
</p>
<p>If the argument <code>"circ"</code> is given, then the function is plotted over
a disk centered on the middle of the domain <var>dom</var>.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <var>h</var> is a graphics handle to the created
surface object.
</p>
<p>Example 1: 2-argument function
</p>
<div class="example">
<pre class="example">f = @(x,y) sqrt (abs (x .* y)) ./ (1 + x.^2 + y.^2);
ezsurf (f, [-3, 3]);
</pre></div>
<p>Example 2: parametrically defined function
</p>
<div class="example">
<pre class="example">fx = @(s,t) cos (s) .* cos (t);
fy = @(s,t) sin (s) .* cos (t);
fz = @(s,t) sin (t);
ezsurf (fx, fy, fz, [-pi, pi, -pi/2, pi/2], 20);
</pre></div>
<p><strong>See also:</strong> <a href="Three_002dDimensional-Plots.html#XREFsurf">surf</a>, <a href="#XREFezsurfc">ezsurfc</a>, <a href="Two_002ddimensional-Function-Plotting.html#XREFezplot">ezplot</a>, <a href="#XREFezmesh">ezmesh</a>, <a href="#XREFezmeshc">ezmeshc</a>, <a href="Three_002dDimensional-Plots.html#XREFshading">shading</a>.
</p></dd></dl>
<span id="XREFezsurfc"></span><dl>
<dt id="index-ezsurfc">: <em></em> <strong>ezsurfc</strong> <em>(<var>f</var>)</em></dt>
<dt id="index-ezsurfc-1">: <em></em> <strong>ezsurfc</strong> <em>(<var>fx</var>, <var>fy</var>, <var>fz</var>)</em></dt>
<dt id="index-ezsurfc-2">: <em></em> <strong>ezsurfc</strong> <em>(…, <var>dom</var>)</em></dt>
<dt id="index-ezsurfc-3">: <em></em> <strong>ezsurfc</strong> <em>(…, <var>n</var>)</em></dt>
<dt id="index-ezsurfc-4">: <em></em> <strong>ezsurfc</strong> <em>(…, "circ")</em></dt>
<dt id="index-ezsurfc-5">: <em></em> <strong>ezsurfc</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-ezsurfc-6">: <em><var>h</var> =</em> <strong>ezsurfc</strong> <em>(…)</em></dt>
<dd>
<p>Plot the surface and contour lines defined by a function.
</p>
<p><var>f</var> is a string, inline function, or function handle with two arguments
defining the function. By default the plot is over the meshed domain
<code>-2*pi <= <var>x</var> | <var>y</var> <= 2*pi</code> with 60 points in each dimension.
</p>
<p>If three functions are passed, then plot the parametrically defined
function <code>[<var>fx</var>(<var>s</var>, <var>t</var>), <var>fy</var>(<var>s</var>, <var>t</var>),
<var>fz</var>(<var>s</var>, <var>t</var>)]</code>.
</p>
<p>If <var>dom</var> is a two element vector, it represents the minimum and maximum
values of both <var>x</var> and <var>y</var>. If <var>dom</var> is a four element vector,
then the minimum and maximum values are <code>[xmin xmax ymin ymax]</code>.
</p>
<p><var>n</var> is a scalar defining the number of points to use in each dimension.
</p>
<p>If the argument <code>"circ"</code> is given, then the function is plotted over
a disk centered on the middle of the domain <var>dom</var>.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <var>h</var> is a 2-element vector with a graphics
handle for the created surface plot and a second handle for the created
contour plot.
</p>
<p>Example:
</p>
<div class="example">
<pre class="example">f = @(x,y) sqrt (abs (x .* y)) ./ (1 + x.^2 + y.^2);
ezsurfc (f, [-3, 3]);
</pre></div>
<p><strong>See also:</strong> <a href="Three_002dDimensional-Plots.html#XREFsurfc">surfc</a>, <a href="#XREFezsurf">ezsurf</a>, <a href="Two_002ddimensional-Function-Plotting.html#XREFezplot">ezplot</a>, <a href="#XREFezmesh">ezmesh</a>, <a href="#XREFezmeshc">ezmeshc</a>, <a href="Three_002dDimensional-Plots.html#XREFshading">shading</a>.
</p></dd></dl>
<hr>
<div class="header">
<p>
Next: <a href="Three_002ddimensional-Geometric-Shapes.html" accesskey="n" rel="next">Three-dimensional Geometric Shapes</a>, Previous: <a href="Aspect-Ratio.html" accesskey="p" rel="prev">Aspect Ratio</a>, Up: <a href="Three_002dDimensional-Plots.html" accesskey="u" rel="up">Three-Dimensional Plots</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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