1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
|
<html lang="en">
<head>
<title>Three-Dimensional Plotting - Untitled</title>
<meta http-equiv="Content-Type" content="text/html">
<meta name="description" content="Untitled">
<meta name="generator" content="makeinfo 4.11">
<link title="Top" rel="start" href="index.html#Top">
<link rel="up" href="Plotting-Basics.html#Plotting-Basics" title="Plotting Basics">
<link rel="prev" href="Two_002dDimensional-Plots.html#Two_002dDimensional-Plots" title="Two-Dimensional Plots">
<link rel="next" href="Plot-Annotations.html#Plot-Annotations" title="Plot Annotations">
<link href="http://www.gnu.org/software/texinfo/" rel="generator-home" title="Texinfo Homepage">
<meta http-equiv="Content-Style-Type" content="text/css">
<style type="text/css"><!--
pre.display { font-family:inherit }
pre.format { font-family:inherit }
pre.smalldisplay { font-family:inherit; font-size:smaller }
pre.smallformat { font-family:inherit; font-size:smaller }
pre.smallexample { font-size:smaller }
pre.smalllisp { font-size:smaller }
span.sc { font-variant:small-caps }
span.roman { font-family:serif; font-weight:normal; }
span.sansserif { font-family:sans-serif; font-weight:normal; }
--></style>
</head>
<body>
<div class="node">
<p>
<a name="Three-Dimensional-Plotting"></a>
<a name="Three_002dDimensional-Plotting"></a>
Next: <a rel="next" accesskey="n" href="Plot-Annotations.html#Plot-Annotations">Plot Annotations</a>,
Previous: <a rel="previous" accesskey="p" href="Two_002dDimensional-Plots.html#Two_002dDimensional-Plots">Two-Dimensional Plots</a>,
Up: <a rel="up" accesskey="u" href="Plotting-Basics.html#Plotting-Basics">Plotting Basics</a>
<hr>
</div>
<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 “sombrero” 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">
— 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.
<!-- 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_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">
— 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.
<!-- 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_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">
— 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.
<!-- 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_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">
— Function File: <b>hidden</b> (<var>mode</var>)<var><a name="index-hidden-981"></a></var><br>
— 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.
<!-- 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_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">
— 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.
<!-- 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_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">
— 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.
<!-- 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_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">
— Function File: <b>surfl</b> (<var>x, y, z</var>)<var><a name="index-surfl-985"></a></var><br>
— Function File: <b>surfl</b> (<var>z</var>)<var><a name="index-surfl-986"></a></var><br>
— Function File: <b>surfl</b> (<var>x, y, z, L</var>)<var><a name="index-surfl-987"></a></var><br>
— Function File: <b>surfl</b> (<var>x, y, z, L, P</var>)<var><a name="index-surfl-988"></a></var><br>
— 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>
<!-- 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_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">
— Function File: <b>surfnorm</b> (<var>x, y, z</var>)<var><a name="index-surfnorm-990"></a></var><br>
— Function File: <b>surfnorm</b> (<var>z</var>)<var><a name="index-surfnorm-991"></a></var><br>
— 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>
— 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>
<!-- 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_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">
— 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].
<!-- 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_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">
— Function File: <b>specular</b> (<var>sx, sy, sz, l, v</var>)<var><a name="index-specular-995"></a></var><br>
— 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>.
<!-- 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_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">
— 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>
— Function File: [<var>xx</var>, <var>yy</var>] = <b>meshgrid</b> (<var>x, y</var>)<var><a name="index-meshgrid-998"></a></var><br>
— 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>.
<!-- 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_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">
— 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>
— 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>)
<!-- 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_002dmeshgrid.html#doc_002dmeshgrid">meshgrid</a>.
</p></blockquote></div>
<!-- ./plot/plot3.m -->
<p><a name="doc_002dplot3"></a>
<div class="defun">
— 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>
<!-- 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_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">
— Function File: <b>view</b> (<var>azimuth, elevation</var>)<var><a name="index-view-1003"></a></var><br>
— Function File: <b>view</b> (<var>dims</var>)<var><a name="index-view-1004"></a></var><br>
— 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">
— Function File: <b>slice</b> (<var>x, y, z, v, sx, sy, sz</var>)<var><a name="index-slice-1006"></a></var><br>
— Function File: <b>slice</b> (<var>x, y, z, v, xi, yi, zi</var>)<var><a name="index-slice-1007"></a></var><br>
— Function File: <b>slice</b> (<var>v, sx, sy, sz</var>)<var><a name="index-slice-1008"></a></var><br>
— Function File: <b>slice</b> (<var>v, xi, yi, zi</var>)<var><a name="index-slice-1009"></a></var><br>
— Function File: <var>h</var> = <b>slice</b> (<var><small class="dots">...</small></var>)<var><a name="index-slice-1010"></a></var><br>
— 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—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">
— Function File: <b>ribbon</b> (<var>x, y, width</var>)<var><a name="index-ribbon-1012"></a></var><br>
— Function File: <b>ribbon</b> (<var>y</var>)<var><a name="index-ribbon-1013"></a></var><br>
— 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">
— Function File: <b>shading</b> (<var>type</var>)<var><a name="index-shading-1015"></a></var><br>
— 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>
</body></html>
|
