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<html lang="en">
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<title>Three-dimensional Function Plotting - Untitled</title>
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<p>
<a name="Three-dimensional-Function-Plotting"></a>
<a name="Three_002ddimensional-Function-Plotting"></a>
Next: <a rel="next" accesskey="n" href="Three_002ddimensional-Geometric-Shapes.html#Three_002ddimensional-Geometric-Shapes">Three-dimensional Geometric Shapes</a>,
Up: <a rel="up" accesskey="u" href="Three_002dDimensional-Plotting.html#Three_002dDimensional-Plotting">Three-Dimensional Plotting</a>
<hr>
</div>
<h5 class="subsubsection">15.1.2.1 Three-dimensional Function Plotting</h5>
<!-- ./plot/ezplot3.m -->
<p><a name="doc_002dezplot3"></a>
<div class="defun">
— Function File: <b>ezplot3</b> (<var>fx, fy, fz</var>)<var><a name="index-ezplot3-1017"></a></var><br>
— Function File: <b>ezplot3</b> (<var><small class="dots">...</small>, dom</var>)<var><a name="index-ezplot3-1018"></a></var><br>
— Function File: <b>ezplot3</b> (<var><small class="dots">...</small>, n</var>)<var><a name="index-ezplot3-1019"></a></var><br>
— Function File: <b>ezplot3</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-ezplot3-1020"></a></var><br>
— Function File: <var>h</var> = <b>ezplot3</b> (<var><small class="dots">...</small></var>)<var><a name="index-ezplot3-1021"></a></var><br>
<blockquote>
<p>Plots in three-dimensions the curve defined parametrically.
<var>fx</var>, <var>fy</var>, and <var>fz</var> are strings, inline functions
or function handles with one arguments defining the function. By
default the plot is over the domain <code>-2*pi < </code><var>x</var><code> < 2*pi</code>
with 60 points.
<p>If <var>dom</var> is a two element vector, it represents the minimum and maximum
value of <var>t</var>. <var>n</var> is a scalar defining the number of points to use.
<p>The optional return value <var>h</var> provides a list of handles to the
the parts of the vector field (body, arrow and marker).
<pre class="example"> fx = @(t) cos (t);
fy = @(t) sin (t);
fz = @(t) t;
ezplot3 (fx, fy, fz, [0, 10*pi], 100);
</pre>
<!-- Texinfo @sp should work but in practice produces ugly results for HTML. -->
<!-- A simple blank line produces the correct behavior. -->
<!-- @sp 1 -->
<p class="noindent"><strong>See also:</strong> <a href="doc_002dplot3.html#doc_002dplot3">plot3</a>, <a href="doc_002dezplot.html#doc_002dezplot">ezplot</a>, <a href="doc_002dezsurf.html#doc_002dezsurf">ezsurf</a>, <a href="doc_002dezmesh.html#doc_002dezmesh">ezmesh</a>.
</p></blockquote></div>
<!-- ./plot/ezmesh.m -->
<p><a name="doc_002dezmesh"></a>
<div class="defun">
— Function File: <b>ezmesh</b> (<var>f</var>)<var><a name="index-ezmesh-1022"></a></var><br>
— Function File: <b>ezmesh</b> (<var>fx, fy, fz</var>)<var><a name="index-ezmesh-1023"></a></var><br>
— Function File: <b>ezmesh</b> (<var><small class="dots">...</small>, dom</var>)<var><a name="index-ezmesh-1024"></a></var><br>
— Function File: <b>ezmesh</b> (<var><small class="dots">...</small>, n</var>)<var><a name="index-ezmesh-1025"></a></var><br>
— Function File: <b>ezmesh</b> (<var><small class="dots">...</small>, 'circ'</var>)<var><a name="index-ezmesh-1026"></a></var><br>
— Function File: <b>ezmesh</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-ezmesh-1027"></a></var><br>
— Function File: <var>h</var> = <b>ezmesh</b> (<var><small class="dots">...</small></var>)<var><a name="index-ezmesh-1028"></a></var><br>
<blockquote>
<p>Plots the mesh defined by a function. <var>f</var> is a string, inline
function or function handle with two arguments defining the function. By
default the plot is over the domain <code>-2*pi < </code><var>x</var><code> < 2*pi</code> and
<code>-2*pi < </code><var>y</var><code> < 2*pi</code> with 60 points in each dimension.
<p>If <var>dom</var> is a two element vector, it represents the minimum and maximum
value of both <var>x</var> and <var>y</var>. If <var>dom</var> is a four element vector,
then the minimum and maximum value of <var>x</var> and <var>y</var> are specify
separately.
<p><var>n</var> is a scalar defining the number of points to use in each dimension.
<p>If three functions are passed, then plot the parametrically defined
function <code>[</code><var>fx</var><code> (</code><var>s</var><code>, </code><var>t</var><code>), </code><var>fy</var><code> (</code><var>s</var><code>, </code><var>t</var><code>),
</code><var>fz</var><code> (</code><var>s</var><code>, </code><var>t</var><code>)]</code>.
<p>If the argument 'circ' is given, then the function is plotted over a disk
centered on the middle of the domain <var>dom</var>.
<p>The optional return value <var>h</var> provides a list of handles to the
the parts of the vector field (body, arrow and marker).
<pre class="example"> f = @(x,y) sqrt(abs(x .* y)) ./ (1 + x.^2 + y.^2);
ezmesh (f, [-3, 3]);
</pre>
<p>An example of a parametrically defined function is
<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>
<!-- Texinfo @sp should work but in practice produces ugly results for HTML. -->
<!-- A simple blank line produces the correct behavior. -->
<!-- @sp 1 -->
<p class="noindent"><strong>See also:</strong> <a href="doc_002dezplot.html#doc_002dezplot">ezplot</a>, <a href="doc_002dezsurf.html#doc_002dezsurf">ezsurf</a>, <a href="doc_002dezsurfc.html#doc_002dezsurfc">ezsurfc</a>, <a href="doc_002dezmeshc.html#doc_002dezmeshc">ezmeshc</a>.
</p></blockquote></div>
<!-- ./plot/ezmeshc.m -->
<p><a name="doc_002dezmeshc"></a>
<div class="defun">
— Function File: <b>ezmeshc</b> (<var>f</var>)<var><a name="index-ezmeshc-1029"></a></var><br>
— Function File: <b>ezmeshc</b> (<var>fx, fy, fz</var>)<var><a name="index-ezmeshc-1030"></a></var><br>
— Function File: <b>ezmeshc</b> (<var><small class="dots">...</small>, dom</var>)<var><a name="index-ezmeshc-1031"></a></var><br>
— Function File: <b>ezmeshc</b> (<var><small class="dots">...</small>, n</var>)<var><a name="index-ezmeshc-1032"></a></var><br>
— Function File: <b>ezmeshc</b> (<var><small class="dots">...</small>, 'circ'</var>)<var><a name="index-ezmeshc-1033"></a></var><br>
— Function File: <b>ezmeshc</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-ezmeshc-1034"></a></var><br>
— Function File: <var>h</var> = <b>ezmeshc</b> (<var><small class="dots">...</small></var>)<var><a name="index-ezmeshc-1035"></a></var><br>
<blockquote>
<p>Plots the mesh and contour lines defined by a function. <var>f</var> is a string,
inline function or function handle with two arguments defining the function.
By default the plot is over the domain <code>-2*pi < </code><var>x</var><code> < 2*pi</code> and
<code>-2*pi < </code><var>y</var><code> < 2*pi</code> with 60 points in each dimension.
<p>If <var>dom</var> is a two element vector, it represents the minimum and maximum
value of both <var>x</var> and <var>y</var>. If <var>dom</var> is a four element vector,
then the minimum and maximum value of <var>x</var> and <var>y</var> are specify
separately.
<p><var>n</var> is a scalar defining the number of points to use in each dimension.
<p>If three functions are passed, then plot the parametrically defined
function <code>[</code><var>fx</var><code> (</code><var>s</var><code>, </code><var>t</var><code>), </code><var>fy</var><code> (</code><var>s</var><code>, </code><var>t</var><code>),
</code><var>fz</var><code> (</code><var>s</var><code>, </code><var>t</var><code>)]</code>.
<p>If the argument 'circ' is given, then the function is plotted over a disk
centered on the middle of the domain <var>dom</var>.
<p>The optional return value <var>h</var> provides a list of handles to the
the parts of the vector field (body, arrow and marker).
<pre class="example"> f = @(x,y) sqrt(abs(x .* y)) ./ (1 + x.^2 + y.^2);
ezmeshc (f, [-3, 3]);
</pre>
<!-- Texinfo @sp should work but in practice produces ugly results for HTML. -->
<!-- A simple blank line produces the correct behavior. -->
<!-- @sp 1 -->
<p class="noindent"><strong>See also:</strong> <a href="doc_002dezplot.html#doc_002dezplot">ezplot</a>, <a href="doc_002dezsurfc.html#doc_002dezsurfc">ezsurfc</a>, <a href="doc_002dezsurf.html#doc_002dezsurf">ezsurf</a>, <a href="doc_002dezmesh.html#doc_002dezmesh">ezmesh</a>.
</p></blockquote></div>
<!-- ./plot/ezsurf.m -->
<p><a name="doc_002dezsurf"></a>
<div class="defun">
— Function File: <b>ezsurf</b> (<var>f</var>)<var><a name="index-ezsurf-1036"></a></var><br>
— Function File: <b>ezsurf</b> (<var>fx, fy, fz</var>)<var><a name="index-ezsurf-1037"></a></var><br>
— Function File: <b>ezsurf</b> (<var><small class="dots">...</small>, dom</var>)<var><a name="index-ezsurf-1038"></a></var><br>
— Function File: <b>ezsurf</b> (<var><small class="dots">...</small>, n</var>)<var><a name="index-ezsurf-1039"></a></var><br>
— Function File: <b>ezsurf</b> (<var><small class="dots">...</small>, 'circ'</var>)<var><a name="index-ezsurf-1040"></a></var><br>
— Function File: <b>ezsurf</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-ezsurf-1041"></a></var><br>
— Function File: <var>h</var> = <b>ezsurf</b> (<var><small class="dots">...</small></var>)<var><a name="index-ezsurf-1042"></a></var><br>
<blockquote>
<p>Plots the surface defined by a function. <var>f</var> is a string, inline
function or function handle with two arguments defining the function. By
default the plot is over the domain <code>-2*pi < </code><var>x</var><code> < 2*pi</code> and
<code>-2*pi < </code><var>y</var><code> < 2*pi</code> with 60 points in each dimension.
<p>If <var>dom</var> is a two element vector, it represents the minimum and maximum
value of both <var>x</var> and <var>y</var>. If <var>dom</var> is a four element vector,
then the minimum and maximum value of <var>x</var> and <var>y</var> are specify
separately.
<p><var>n</var> is a scalar defining the number of points to use in each dimension.
<p>If three functions are passed, then plot the parametrically defined
function <code>[</code><var>fx</var><code> (</code><var>s</var><code>, </code><var>t</var><code>), </code><var>fy</var><code> (</code><var>s</var><code>, </code><var>t</var><code>),
</code><var>fz</var><code> (</code><var>s</var><code>, </code><var>t</var><code>)]</code>.
<p>If the argument 'circ' is given, then the function is plotted over a disk
centered on the middle of the domain <var>dom</var>.
<p>The optional return value <var>h</var> provides a list of handles to the
the parts of the vector field (body, arrow and marker).
<pre class="example"> f = @(x,y) sqrt(abs(x .* y)) ./ (1 + x.^2 + y.^2);
ezsurf (f, [-3, 3]);
</pre>
<p>An example of a parametrically defined function is
<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>
<!-- Texinfo @sp should work but in practice produces ugly results for HTML. -->
<!-- A simple blank line produces the correct behavior. -->
<!-- @sp 1 -->
<p class="noindent"><strong>See also:</strong> <a href="doc_002dezplot.html#doc_002dezplot">ezplot</a>, <a href="doc_002dezmesh.html#doc_002dezmesh">ezmesh</a>, <a href="doc_002dezsurfc.html#doc_002dezsurfc">ezsurfc</a>, <a href="doc_002dezmeshc.html#doc_002dezmeshc">ezmeshc</a>.
</p></blockquote></div>
<!-- ./plot/ezsurfc.m -->
<p><a name="doc_002dezsurfc"></a>
<div class="defun">
— Function File: <b>ezsurfc</b> (<var>f</var>)<var><a name="index-ezsurfc-1043"></a></var><br>
— Function File: <b>ezsurfc</b> (<var>fx, fy, fz</var>)<var><a name="index-ezsurfc-1044"></a></var><br>
— Function File: <b>ezsurfc</b> (<var><small class="dots">...</small>, dom</var>)<var><a name="index-ezsurfc-1045"></a></var><br>
— Function File: <b>ezsurfc</b> (<var><small class="dots">...</small>, n</var>)<var><a name="index-ezsurfc-1046"></a></var><br>
— Function File: <b>ezsurfc</b> (<var><small class="dots">...</small>, 'circ'</var>)<var><a name="index-ezsurfc-1047"></a></var><br>
— Function File: <b>ezsurfc</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-ezsurfc-1048"></a></var><br>
— Function File: <var>h</var> = <b>ezsurfc</b> (<var><small class="dots">...</small></var>)<var><a name="index-ezsurfc-1049"></a></var><br>
<blockquote>
<p>Plots the surface and contour lines defined by a function. <var>f</var> is a
string, inline function or function handle with two arguments defining the
function. By default the plot is over the domain <code>-2*pi < </code><var>x</var><code> <
2*pi</code> and <code>-2*pi < </code><var>y</var><code> < 2*pi</code> with 60 points in each dimension.
<p>If <var>dom</var> is a two element vector, it represents the minimum and maximum
value of both <var>x</var> and <var>y</var>. If <var>dom</var> is a four element vector,
then the minimum and maximum value of <var>x</var> and <var>y</var> are specify
separately.
<p><var>n</var> is a scalar defining the number of points to use in each dimension.
<p>If three functions are passed, then plot the parametrically defined
function <code>[</code><var>fx</var><code> (</code><var>s</var><code>, </code><var>t</var><code>), </code><var>fy</var><code> (</code><var>s</var><code>, </code><var>t</var><code>),
</code><var>fz</var><code> (</code><var>s</var><code>, </code><var>t</var><code>)]</code>.
<p>If the argument 'circ' is given, then the function is plotted over a disk
centered on the middle of the domain <var>dom</var>.
<p>The optional return value <var>h</var> provides a list of handles to the
the parts of the vector field (body, arrow and marker).
<pre class="example"> f = @(x,y) sqrt(abs(x .* y)) ./ (1 + x.^2 + y.^2);
ezsurfc (f, [-3, 3]);
</pre>
<!-- Texinfo @sp should work but in practice produces ugly results for HTML. -->
<!-- A simple blank line produces the correct behavior. -->
<!-- @sp 1 -->
<p class="noindent"><strong>See also:</strong> <a href="doc_002dezplot.html#doc_002dezplot">ezplot</a>, <a href="doc_002dezmeshc.html#doc_002dezmeshc">ezmeshc</a>, <a href="doc_002dezsurf.html#doc_002dezsurf">ezsurf</a>, <a href="doc_002dezmesh.html#doc_002dezmesh">ezmesh</a>.
</p></blockquote></div>
</body></html>
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