Sophie

Sophie

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<a name="Three-Dimensional-Plotting"></a>
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<p>
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<h4 class="subsection">15.1.2 Three-Dimensional Plotting</h4>

<p>The function <code>mesh</code> produces mesh surface plots.  For example,

<pre class="example">     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);
</pre>
   <p class="noindent">produces the familiar &ldquo;sombrero&rdquo; plot shown in <a href="fig_003amesh.html#fig_003amesh">fig:mesh</a>.  Note
the use of the function <code>meshgrid</code> to create matrices of X and Y
coordinates to use for plotting the Z data.  The <code>ndgrid</code> function
is similar to <code>meshgrid</code>, but works for N-dimensional matrices.

   <div class="float">
<a name="fig_003amesh"></a><div align="center"><img src="mesh.png" alt="mesh.png"></div>
   <p><strong class="float-caption">Figure 15.5: Mesh plot.</strong></p></div>

   <p>The <code>meshc</code> function is similar to <code>mesh</code>, but also produces a
plot of contours for the surface.

   <p>The <code>plot3</code> function displays arbitrary three-dimensional data,
without requiring it to form a surface.  For example

<pre class="example">     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);
</pre>
   <p class="noindent">displays the spiral in three dimensions shown in <a href="fig_003aplot3.html#fig_003aplot3">fig:plot3</a>.

   <div class="float">
<a name="fig_003aplot3"></a><div align="center"><img src="plot3.png" alt="plot3.png"></div>
   <p><strong class="float-caption">Figure 15.6: Three dimensional spiral.</strong></p></div>

   <p>Finally, the <code>view</code> function changes the viewpoint for
three-dimensional plots.

<!-- ./plot/mesh.m -->
   <p><a name="doc_002dmesh"></a>

<div class="defun">
&mdash; Function File:  <b>mesh</b> (<var>x, y, z</var>)<var><a name="index-mesh-978"></a></var><br>
<blockquote><p>Plot a mesh given matrices <var>x</var>, and <var>y</var> from <code>meshgrid</code> and
a matrix <var>z</var> corresponding to the <var>x</var> and <var>y</var> coordinates of
the mesh.  If <var>x</var> and <var>y</var> are vectors, then a typical vertex
is (<var>x</var>(j), <var>y</var>(i), <var>z</var>(i,j)).  Thus, columns of <var>z</var>
correspond to different <var>x</var> values and rows of <var>z</var> correspond
to different <var>y</var> values. 
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     <p class="noindent"><strong>See also:</strong> <a href="doc_002dmeshgrid.html#doc_002dmeshgrid">meshgrid</a>, <a href="doc_002dcontour.html#doc_002dcontour">contour</a>. 
</p></blockquote></div>

<!-- ./plot/meshc.m -->
   <p><a name="doc_002dmeshc"></a>

<div class="defun">
&mdash; Function File:  <b>meshc</b> (<var>x, y, z</var>)<var><a name="index-meshc-979"></a></var><br>
<blockquote><p>Plot a mesh and contour given matrices <var>x</var>, and <var>y</var> from
<code>meshgrid</code> and a matrix <var>z</var> corresponding to the <var>x</var> and
<var>y</var> coordinates of the mesh.  If <var>x</var> and <var>y</var> are vectors,
then a typical vertex is (<var>x</var>(j), <var>y</var>(i), <var>z</var>(i,j)).  Thus,
columns of <var>z</var> correspond to different <var>x</var> values and rows of
<var>z</var> correspond to different <var>y</var> values. 
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     <p class="noindent"><strong>See also:</strong> <a href="doc_002dmeshgrid.html#doc_002dmeshgrid">meshgrid</a>, <a href="doc_002dmesh.html#doc_002dmesh">mesh</a>, <a href="doc_002dcontour.html#doc_002dcontour">contour</a>. 
</p></blockquote></div>

<!-- ./plot/meshz.m -->
   <p><a name="doc_002dmeshz"></a>

<div class="defun">
&mdash; Function File:  <b>meshz</b> (<var>x, y, z</var>)<var><a name="index-meshz-980"></a></var><br>
<blockquote><p>Plot a curtain mesh given matrices <var>x</var>, and <var>y</var> from
<code>meshgrid</code> and a matrix <var>z</var> corresponding to the <var>x</var> and
<var>y</var> coordinates of the mesh.  If <var>x</var> and <var>y</var> are vectors,
then a typical vertex is (<var>x</var>(j), <var>y</var>(i), <var>z</var>(i,j)).  Thus,
columns of <var>z</var> correspond to different <var>x</var> values and rows of
<var>z</var> correspond to different <var>y</var> values. 
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     <p class="noindent"><strong>See also:</strong> <a href="doc_002dmeshgrid.html#doc_002dmeshgrid">meshgrid</a>, <a href="doc_002dmesh.html#doc_002dmesh">mesh</a>, <a href="doc_002dcontour.html#doc_002dcontour">contour</a>. 
</p></blockquote></div>

<!-- ./plot/hidden.m -->
   <p><a name="doc_002dhidden"></a>

<div class="defun">
&mdash; Function File:  <b>hidden</b> (<var>mode</var>)<var><a name="index-hidden-981"></a></var><br>
&mdash; Function File:  <b>hidden</b> ()<var><a name="index-hidden-982"></a></var><br>
<blockquote><p>Manipulation the mesh hidden line removal.  Called with no argument
the hidden line removal is toggled.  The argument <var>mode</var> can be either
'on' or 'off' and the set of the hidden line removal is set accordingly. 
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     <p class="noindent"><strong>See also:</strong> <a href="doc_002dmesh.html#doc_002dmesh">mesh</a>, <a href="doc_002dmeshc.html#doc_002dmeshc">meshc</a>, <a href="doc_002dsurf.html#doc_002dsurf">surf</a>. 
</p></blockquote></div>

<!-- ./plot/surf.m -->
   <p><a name="doc_002dsurf"></a>

<div class="defun">
&mdash; Function File:  <b>surf</b> (<var>x, y, z</var>)<var><a name="index-surf-983"></a></var><br>
<blockquote><p>Plot a surface given matrices <var>x</var>, and <var>y</var> from <code>meshgrid</code> and
a matrix <var>z</var> corresponding to the <var>x</var> and <var>y</var> coordinates of
the mesh.  If <var>x</var> and <var>y</var> are vectors, then a typical vertex
is (<var>x</var>(j), <var>y</var>(i), <var>z</var>(i,j)).  Thus, columns of <var>z</var>
correspond to different <var>x</var> values and rows of <var>z</var> correspond
to different <var>y</var> values. 
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     <p class="noindent"><strong>See also:</strong> <a href="doc_002dmesh.html#doc_002dmesh">mesh</a>, <a href="doc_002dsurface.html#doc_002dsurface">surface</a>. 
</p></blockquote></div>

<!-- ./plot/surfc.m -->
   <p><a name="doc_002dsurfc"></a>

<div class="defun">
&mdash; Function File:  <b>surfc</b> (<var>x, y, z</var>)<var><a name="index-surfc-984"></a></var><br>
<blockquote><p>Plot a surface and contour given matrices <var>x</var>, and <var>y</var> from
<code>meshgrid</code> and a matrix <var>z</var> corresponding to the <var>x</var> and
<var>y</var> coordinates of the mesh.  If <var>x</var> and <var>y</var> are vectors,
then a typical vertex is (<var>x</var>(j), <var>y</var>(i), <var>z</var>(i,j)).  Thus,
columns of <var>z</var> correspond to different <var>x</var> values and rows of
<var>z</var> correspond to different <var>y</var> values. 
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     <p class="noindent"><strong>See also:</strong> <a href="doc_002dmeshgrid.html#doc_002dmeshgrid">meshgrid</a>, <a href="doc_002dsurf.html#doc_002dsurf">surf</a>, <a href="doc_002dcontour.html#doc_002dcontour">contour</a>. 
</p></blockquote></div>

<!-- ./plot/surfl.m -->
   <p><a name="doc_002dsurfl"></a>

<div class="defun">
&mdash; Function File:  <b>surfl</b> (<var>x, y, z</var>)<var><a name="index-surfl-985"></a></var><br>
&mdash; Function File:  <b>surfl</b> (<var>z</var>)<var><a name="index-surfl-986"></a></var><br>
&mdash; Function File:  <b>surfl</b> (<var>x, y, z, L</var>)<var><a name="index-surfl-987"></a></var><br>
&mdash; Function File:  <b>surfl</b> (<var>x, y, z, L, P</var>)<var><a name="index-surfl-988"></a></var><br>
&mdash; Function File:  <b>surfl</b> (<var><small class="dots">...</small>,"light"</var>)<var><a name="index-surfl-989"></a></var><br>
<blockquote><p>Plot a lighted surface given matrices <var>x</var>, and <var>y</var> from <code>meshgrid</code> and
a matrix <var>z</var> corresponding to the <var>x</var> and <var>y</var> coordinates of
the mesh.  If <var>x</var> and <var>y</var> are vectors, then a typical vertex
is (<var>x</var>(j), <var>y</var>(i), <var>z</var>(i,j)).  Thus, columns of <var>z</var>
correspond to different <var>x</var> values and rows of <var>z</var> correspond
to different <var>y</var> values.

        <p>The light direction can be specified using <var>L</var>.  It can be
given as 2-element vector [azimuth, elevation] in degrees or as 3-element vector [lx, ly, lz]. 
The default value is rotated 45° counter-clockwise from the current view.

        <p>The material properties of the surface can specified using a 4-element vector
<var>P</var> = [<var>AM</var> <var>D</var> <var>SP</var> <var>exp</var>] which defaults to
<var>p</var> = [0.55 0.6 0.4 10].
          <dl>
<dt><code>"AM" strength of ambient light</code><br><dt><code>"D" strength of diffuse reflection</code><br><dt><code>"SP" strength of specular reflection</code><br><dt><code>"EXP" specular exponent</code><dd></dl>

        <p>The default lighting mode "cdata", changes the cdata property to give the impression
of a lighted surface.  Please note: the alternative "light" mode, which creates a light
object to illuminate the surface is not implemented (yet).

        <p>Example:

     <pre class="example">          colormap(bone);
          surfl(peaks);
          shading interp;
</pre>
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     <p class="noindent"><strong>See also:</strong> <a href="doc_002dsurf.html#doc_002dsurf">surf</a>, <a href="doc_002ddiffuse.html#doc_002ddiffuse">diffuse</a>, <a href="doc_002dspecular.html#doc_002dspecular">specular</a>, <a href="doc_002dsurface.html#doc_002dsurface">surface</a>. 
</p></blockquote></div>

<!-- ./plot/surfnorm.m -->
   <p><a name="doc_002dsurfnorm"></a>

<div class="defun">
&mdash; Function File:  <b>surfnorm</b> (<var>x, y, z</var>)<var><a name="index-surfnorm-990"></a></var><br>
&mdash; Function File:  <b>surfnorm</b> (<var>z</var>)<var><a name="index-surfnorm-991"></a></var><br>
&mdash; Function File: [<var>nx</var>, <var>ny</var>, <var>nz</var>] = <b>surfnorm</b> (<var><small class="dots">...</small></var>)<var><a name="index-surfnorm-992"></a></var><br>
&mdash; Function File:  <b>surfnorm</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-surfnorm-993"></a></var><br>
<blockquote><p>Find the vectors normal to a meshgridded surface.  The meshed gridded
surface is defined by <var>x</var>, <var>y</var>, and <var>z</var>.  If <var>x</var> and
<var>y</var> are not defined, then it is assumed that they are given by

     <pre class="example">          [<var>x</var>, <var>y</var>] = meshgrid (1:size(<var>z</var>, 1),
                               1:size(<var>z</var>, 2));
</pre>
        <p>If no return arguments are requested, a surface plot with the normal
vectors to the surface is plotted.  Otherwise the components of the normal
vectors at the mesh gridded points are returned in <var>nx</var>, <var>ny</var>,
and <var>nz</var>.

        <p>The normal vectors are calculated by taking the cross product of the
diagonals of each of the quadrilaterals in the meshgrid to find the
normal vectors of the centers of these quadrilaterals.  The four nearest
normal vectors to the meshgrid points are then averaged to obtain the
normal to the surface at the meshgridded points.

        <p>An example of the use of <code>surfnorm</code> is

     <pre class="example">          surfnorm (peaks (25));
</pre>
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     <p class="noindent"><strong>See also:</strong> <a href="doc_002dsurf.html#doc_002dsurf">surf</a>, <a href="doc_002dquiver3.html#doc_002dquiver3">quiver3</a>. 
</p></blockquote></div>

<!-- ./plot/diffuse.m -->
   <p><a name="doc_002ddiffuse"></a>

<div class="defun">
&mdash; Function File:  <b>diffuse</b> (<var>sx, sy, sz, l</var>)<var><a name="index-diffuse-994"></a></var><br>
<blockquote><p>Calculate diffuse reflection strength of a surface defined by the normal
vector elements <var>sx</var>, <var>sy</var>, <var>sz</var>. 
The light vector can be specified using parameter <var>L</var>.  It can be
given as 2-element vector [azimuth, elevation] in degrees or as 3-element
vector [lx, ly, lz]. 
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     <p class="noindent"><strong>See also:</strong> <a href="doc_002dspecular.html#doc_002dspecular">specular</a>, <a href="doc_002dsurfl.html#doc_002dsurfl">surfl</a>. 
</p></blockquote></div>

<!-- ./plot/specular.m -->
   <p><a name="doc_002dspecular"></a>

<div class="defun">
&mdash; Function File:  <b>specular</b> (<var>sx, sy, sz, l, v</var>)<var><a name="index-specular-995"></a></var><br>
&mdash; Function File:  <b>specular</b> (<var>sx, sy, sz, l, v, se</var>)<var><a name="index-specular-996"></a></var><br>
<blockquote><p>Calculate specular reflection strength of a surface defined by the normal
vector elements <var>sx</var>, <var>sy</var>, <var>sz</var> using Phong's approximation. 
The light and view vectors can be specified using parameter <var>L</var> and <var>V</var> respectively. 
Both can be given as 2-element vectors [azimuth, elevation] in degrees or as 3-element
vector [x, y, z].  An optional 6th argument describes the specular exponent (spread) <var>se</var>. 
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     <p class="noindent"><strong>See also:</strong> <a href="doc_002dsurfl.html#doc_002dsurfl">surfl</a>, <a href="doc_002ddiffuse.html#doc_002ddiffuse">diffuse</a>. 
</p></blockquote></div>

<!-- ./plot/meshgrid.m -->
   <p><a name="doc_002dmeshgrid"></a>

<div class="defun">
&mdash; Function File: [<var>xx</var>, <var>yy</var>, <var>zz</var>] = <b>meshgrid</b> (<var>x, y, z</var>)<var><a name="index-meshgrid-997"></a></var><br>
&mdash; Function File: [<var>xx</var>, <var>yy</var>] = <b>meshgrid</b> (<var>x, y</var>)<var><a name="index-meshgrid-998"></a></var><br>
&mdash; Function File: [<var>xx</var>, <var>yy</var>] = <b>meshgrid</b> (<var>x</var>)<var><a name="index-meshgrid-999"></a></var><br>
<blockquote><p>Given vectors of <var>x</var> and <var>y</var> and <var>z</var> coordinates, and
returning 3 arguments, return three-dimensional arrays corresponding
to the <var>x</var>, <var>y</var>, and <var>z</var> coordinates of a mesh.  When
returning only 2 arguments, return matrices corresponding to the
<var>x</var> and <var>y</var> coordinates of a mesh.  The rows of <var>xx</var> are
copies of <var>x</var>, and the columns of <var>yy</var> are copies of <var>y</var>. 
If <var>y</var> is omitted, then it is assumed to be the same as <var>x</var>,
and <var>z</var> is assumed the same as <var>y</var>. 
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     <p class="noindent"><strong>See also:</strong> <a href="doc_002dmesh.html#doc_002dmesh">mesh</a>, <a href="doc_002dcontour.html#doc_002dcontour">contour</a>. 
</p></blockquote></div>

<!-- ./plot/ndgrid.m -->
   <p><a name="doc_002dndgrid"></a>

<div class="defun">
&mdash; Function File: [<var>y1</var>, <var>y2</var>, <small class="dots">...</small>,  <var>y</var>n] = <b>ndgrid</b> (<var>x1, x2, <small class="dots">...</small>, xn</var>)<var><a name="index-ndgrid-1000"></a></var><br>
&mdash; Function File: [<var>y1</var>, <var>y2</var>, <small class="dots">...</small>,  <var>y</var>n] = <b>ndgrid</b> (<var>x</var>)<var><a name="index-ndgrid-1001"></a></var><br>
<blockquote><p>Given n vectors <var>x1</var>, <small class="dots">...</small> <var>x</var>n, <code>ndgrid</code> returns
n arrays of dimension n. The elements of the i-th output argument
contains the elements of the vector <var>x</var>i repeated over all
dimensions different from the i-th dimension.  Calling ndgrid with
only one input argument <var>x</var> is equivalent of calling ndgrid with
all n input arguments equal to <var>x</var>:

        <p>[<var>y1</var>, <var>y2</var>, <small class="dots">...</small>,  <var>y</var>n] = ndgrid (<var>x</var>, <small class="dots">...</small>, <var>x</var>)
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     <p class="noindent"><strong>See also:</strong> <a href="doc_002dmeshgrid.html#doc_002dmeshgrid">meshgrid</a>. 
</p></blockquote></div>

<!-- ./plot/plot3.m -->
   <p><a name="doc_002dplot3"></a>

<div class="defun">
&mdash; Function File:  <b>plot3</b> (<var>args</var>)<var><a name="index-plot3-1002"></a></var><br>
<blockquote><p>Produce three-dimensional plots.  Many different combinations of
arguments are possible.  The simplest form is

     <pre class="example">          plot3 (<var>x</var>, <var>y</var>, <var>z</var>)
</pre>
        <p class="noindent">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 the matrices is treated as a
separate line.  No attempt is made to transpose the arguments to make
the number of rows match.

        <p>If only two arguments are given, as

     <pre class="example">          plot3 (<var>x</var>, <var>c</var>)
</pre>
        <p class="noindent">the real and imaginary parts of the second argument are used
as the <var>y</var> and <var>z</var> coordinates, respectively.

        <p>If only one argument is given, as

     <pre class="example">          plot3 (<var>c</var>)
</pre>
        <p class="noindent">the real and imaginary parts of the argument are used as the <var>y</var>
and <var>z</var> values, and they are plotted versus their index.

        <p>Arguments may also be given in groups of three as

     <pre class="example">          plot3 (<var>x1</var>, <var>y1</var>, <var>z1</var>, <var>x2</var>, <var>y2</var>, <var>z2</var>, ...)
</pre>
        <p class="noindent">in which each set of three arguments is treated as a separate line or
set of lines in three dimensions.

        <p>To plot multiple one- or two-argument groups, separate each group
with an empty format string, as

     <pre class="example">          plot3 (<var>x1</var>, <var>c1</var>, "", <var>c2</var>, "", ...)
</pre>
        <p>An example of the use of <code>plot3</code> is

     <pre class="example">             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>
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     <p class="noindent"><strong>See also:</strong> <a href="doc_002dplot.html#doc_002dplot">plot</a>, <a href="doc_002dxlabel.html#doc_002dxlabel">xlabel</a>, <a href="doc_002dylabel.html#doc_002dylabel">ylabel</a>, <a href="doc_002dzlabel.html#doc_002dzlabel">zlabel</a>, <a href="doc_002dtitle.html#doc_002dtitle">title</a>, <a href="doc_002dprint.html#doc_002dprint">print</a>. 
</p></blockquote></div>

<!-- ./plot/view.m -->
   <p><a name="doc_002dview"></a>

<div class="defun">
&mdash; Function File:  <b>view</b> (<var>azimuth, elevation</var>)<var><a name="index-view-1003"></a></var><br>
&mdash; Function File:  <b>view</b> (<var>dims</var>)<var><a name="index-view-1004"></a></var><br>
&mdash; Function File: [<var>azimuth</var>, <var>elevation</var>] = <b>view</b> ()<var><a name="index-view-1005"></a></var><br>
<blockquote><p>Set or get the viewpoint for the current axes. 
</p></blockquote></div>

<!-- ./plot/slice.m -->
   <p><a name="doc_002dslice"></a>

<div class="defun">
&mdash; Function File:  <b>slice</b> (<var>x, y, z, v, sx, sy, sz</var>)<var><a name="index-slice-1006"></a></var><br>
&mdash; Function File:  <b>slice</b> (<var>x, y, z, v, xi, yi, zi</var>)<var><a name="index-slice-1007"></a></var><br>
&mdash; Function File:  <b>slice</b> (<var>v, sx, sy, sz</var>)<var><a name="index-slice-1008"></a></var><br>
&mdash; Function File:  <b>slice</b> (<var>v, xi, yi, zi</var>)<var><a name="index-slice-1009"></a></var><br>
&mdash; Function File: <var>h</var> = <b>slice</b> (<var><small class="dots">...</small></var>)<var><a name="index-slice-1010"></a></var><br>
&mdash; Function File: <var>h</var> = <b>slice</b> (<var><small class="dots">...</small>, method</var>)<var><a name="index-slice-1011"></a></var><br>
<blockquote><p>Plot slices of 3D data/scalar fields.  Each element of the 3-dimensional
array <var>v</var> represents a scalar value at a location given by the
parameters <var>x</var>, <var>y</var>, and <var>z</var>.  The parameters <var>x</var>,
<var>x</var>, and <var>z</var> are either 3-dimensional arrays of the same size
as the array <var>v</var> in the "meshgrid" format or vectors.  The
parameters <var>xi</var>, etc. respect a similar format to <var>x</var>, etc.,
and they represent the points at which the array <var>vi</var> is
interpolated using interp3.  The vectors <var>sx</var>, <var>sy</var>, and
<var>sz</var> contain points of orthogonal slices of the respective axes.

        <p>If <var>x</var>, <var>y</var>, <var>z</var> are omitted, they are assumed to be
<code>x = 1:size (</code><var>v</var><code>, 2)</code>, <code>y = 1:size (</code><var>v</var><code>, 1)</code> and
<code>z = 1:size (</code><var>v</var><code>, 3)</code>.

        <p><var>Method</var> is one of:

          <dl>
<dt><code>"nearest"</code><dd>Return the nearest neighbor. 
<br><dt><code>"linear"</code><dd>Linear interpolation from nearest neighbors. 
<br><dt><code>"cubic"</code><dd>Cubic interpolation from four nearest neighbors (not implemented yet). 
<br><dt><code>"spline"</code><dd>Cubic spline interpolation&mdash;smooth first and second derivatives
throughout the curve. 
</dl>

        <p>The default method is <code>"linear"</code>. 
The optional return value <var>h</var> is a vector of handles to the
surface graphic objects.

        <p>Examples:
     <pre class="example">          [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>
        <!-- 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_002dinterp3.html#doc_002dinterp3">interp3</a>, <a href="doc_002dsurface.html#doc_002dsurface">surface</a>, <a href="doc_002dpcolor.html#doc_002dpcolor">pcolor</a>. 
</p></blockquote></div>

<!-- ./plot/ribbon.m -->
   <p><a name="doc_002dribbon"></a>

<div class="defun">
&mdash; Function File:  <b>ribbon</b> (<var>x, y, width</var>)<var><a name="index-ribbon-1012"></a></var><br>
&mdash; Function File:  <b>ribbon</b> (<var>y</var>)<var><a name="index-ribbon-1013"></a></var><br>
&mdash; Function File: <var>h</var> = <b>ribbon</b> (<var><small class="dots">...</small></var>)<var><a name="index-ribbon-1014"></a></var><br>
<blockquote><p>Plot a ribbon plot for the columns of <var>y</var> vs.  <var>x</var>.  The
optional parameter <var>width</var> specifies the width of a single ribbon
(default is 0.75).  If <var>x</var> is omitted, a vector containing the
row numbers is assumed (1:rows(Y)).  If requested, return a vector
<var>h</var> of the handles to the surface objects. 
<!-- 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_002dgca.html#doc_002dgca">gca</a>, <a href="doc_002dcolorbar.html#doc_002dcolorbar">colorbar</a>. 
</p></blockquote></div>

<!-- ./plot/shading.m -->
   <p><a name="doc_002dshading"></a>

<div class="defun">
&mdash; Function File:  <b>shading</b> (<var>type</var>)<var><a name="index-shading-1015"></a></var><br>
&mdash; Function File:  <b>shading</b> (<var>ax, <small class="dots">...</small></var>)<var><a name="index-shading-1016"></a></var><br>
<blockquote><p>Set the shading of surface or patch graphic objects.  Valid arguments
for <var>type</var> are

          <dl>
<dt><code>"flat"</code><dd>Single colored patches with invisible edges.

          <br><dt><code>"faceted"</code><dd>Single colored patches with visible edges.

          <br><dt><code>"interp"</code><dd>Color between patch vertices are interpolated and the patch edges are
invisible. 
</dl>

        <p>If <var>ax</var> is given the shading is applied to axis <var>ax</var> instead
of the current axis. 
</p></blockquote></div>

<ul class="menu">
<li><a accesskey="1" href="Three_002ddimensional-Function-Plotting.html#Three_002ddimensional-Function-Plotting">Three-dimensional Function Plotting</a>
<li><a accesskey="2" href="Three_002ddimensional-Geometric-Shapes.html#Three_002ddimensional-Geometric-Shapes">Three-dimensional Geometric Shapes</a>
</ul>

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