-
Notifications
You must be signed in to change notification settings - Fork 57
/
Copy pathtetrahedron_grid.html
291 lines (251 loc) · 8.07 KB
/
tetrahedron_grid.html
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
<html>
<head>
<title>
TETRAHEDRON_GRID - Tetrahedral Grid of Points
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
TETRAHEDRON_GRID <br> Tetrahedral Grid of Points
</h1>
<hr>
<p>
<b>TETRAHEDRON_GRID</b>
is a MATLAB library which
generates a grid of points
over the interior of a tetrahedron in 3D.
</p>
<p>
Starting with any 4 points A, B, C and D that define a tetrahedron,
we can divide each edge of the tetrahedron into N subintervals,
and create a tetrahedral grid. This defines ((N+1)*(N+2)*(N+3))/6
points that lie on the intersections of grid lines.
</p>
<p>
The library includes a routine which allows the user to pick an
arbitrary tetrahedron and an arbitrary number of subdivisions. It
then returns the tetrahedral gridpoints defined by that choice.
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>TETRAHEDRON_GRID</b> is available in
<a href = "../../c_src/tetrahedron_grid/tetrahedron_grid.html">a C version</a> and
<a href = "../../cpp_src/tetrahedron_grid/tetrahedron_grid.html">a C++ version</a> and
<a href = "../../f77_src/tetrahedron_grid/tetrahedron_grid.html">a FORTRAN77 version</a> and
<a href = "../../f_src/tetrahedron_grid/tetrahedron_grid.html">a FORTRAN90 version</a> and
<a href = "../../m_src/tetrahedron_grid/tetrahedron_grid.html">a MATLAB version</a> and
<a href = "../../py_src/tetrahedron_grid/tetrahedron_grid.html">a Python version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../m_src/ball_grid/ball_grid.html">
BALL_GRID</a>,
a MATLAB library which
computes a grid of points
over the interior of a ball in 3D.
</p>
<p>
<a href = "../../m_src/circle_arc_grid/circle_arc_grid.html">
CIRCLE_ARC_GRID</a>,
a MATLAB program which
computes points equally spaced along a circular arc;
</p>
<p>
<a href = "../../m_src/cube_grid/cube_grid.html">
CUBE_GRID</a>,
a MATLAB library which
computes a grid of points
over the interior of a cube in 3D.
</p>
<p>
<a href = "../../m_src/disk_grid/disk_grid.html">
DISK_GRID</a>,
a MATLAB library which
computes a grid of points
over the interior of a disk in 2D.
</p>
<p>
<a href = "../../m_src/ellipse_grid/ellipse_grid.html">
ELLIPSE_GRID</a>,
a MATLAB library which
computes a grid of points
over the interior of an ellipse in 2D.
</p>
<p>
<a href = "../../m_src/ellipsoid_grid/ellipsoid_grid.html">
ELLIPSOID_GRID</a>,
a MATLAB library which
computes a grid of points
over the interior of an ellipsoid in 3D.
</p>
<p>
<a href = "../../m_src/hypercube_grid/hypercube_grid.html">
HYPERCUBE_GRID</a>,
a MATLAB library which
computes a grid of points
over the interior of a hypercube in M dimensions.
</p>
<p>
<a href = "../../m_src/line_grid/line_grid.html">
LINE_GRID</a>,
a MATLAB library which
computes a grid of points
over the interior of a line segment in 1D.
</p>
<p>
<a href = "../../m_src/polygon_grid/polygon_grid.html">
POLYGON_GRID</a>,
a MATLAB library which
generates a grid of points
over the interior of a polygon in 2D.
</p>
<p>
<a href = "../../m_src/pyramid_grid/pyramid_grid.html">
PYRAMID_GRID</a>,
a MATLAB library which
computes a grid of points
over the interior of the unit pyramid in 3D;
</p>
<p>
<a href = "../../m_src/simplex_grid/simplex_grid.html">
SIMPLEX_GRID</a>,
a MATLAB library which
generates a grid of points
over the interior of a simplex in M dimensions.
</p>
<p>
<a href = "../../m_src/sphere_fibonacci_grid/sphere_fibonacci_grid.html">
SPHERE_FIBONACCI_GRID</a>,
a MATLAB library which
uses a Fibonacci spiral to create a grid of points
on the surface of the unit sphere in 3D.
</p>
<p>
<a href = "../../m_src/sphere_grid/sphere_grid.html">
SPHERE_GRID</a>,
a MATLAB library which
provides a number of ways of generating grids of points, or of
points and lines, or of points and lines and faces,
on the surface of the unit sphere in 3D.
</p>
<p>
<a href = "../../m_src/sphere_llq_grid/sphere_llq_grid.html">
SPHERE_LLQ_GRID</a>,
a MATLAB library which
uses longitudes and latitudes to create grids of points,
lines, and quadrilaterals
on the surface of the unit sphere in 3D.
</p>
<p>
<a href = "../../m_src/square_grid/square_grid.html">
SQUARE_GRID</a>,
a MATLAB library which
computes a grid of points
over the interior of a square in 2D.
</p>
<p>
<a href = "../../m_src/triangle_grid/triangle_grid.html">
TRIANGLE_GRID</a>,
a MATLAB library which
computes a grid of points
over the interior of a triangle in 2D.
</p>
<p>
<a href = "../../m_src/wedge_grid/wedge_grid.html">
WEDGE_GRID</a>,
a MATLAB library which
computes a grid of points
over the interior of the unit wedge in 3D.
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "r83vec_print_part.m">r83vec_print_part.m</a>,
prints part of an R83VEC.
</li>
<li>
<a href = "r8mat_print.m">r8mat_print.m</a>,
prints an R8MAT.
</li>
<li>
<a href = "r8mat_print_some.m">r8mat_print_some.m</a>,
prints some of an R8MAT.
</li>
<li>
<a href = "r8mat_write.m">r8mat_write.m</a>,
writes an R8MAT to a file.
</li>
<li>
<a href = "timestamp.m">timestamp.m</a>,
prints the current YMDHMS date as a time stamp.
</li>
<li>
<a href = "tetrahedron_grid.m">tetrahedron_grid.m</a>,
computes points on a tetrahedral grid.
</li>
<li>
<a href = "tetrahedron_grid_count.m">tetrahedron_grid_count.m</a>,
counts grid points inside a tetrahedron.
</li>
<li>
<a href = "tetrahedron_grid_display.m">tetrahedron_grid_display.m</a>,
displays grid points inside a tetrahedron.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "tetrahedron_grid_test.m">tetrahedron_grid_test.m</a>,
calls all the tests.
</li>
<li>
<a href = "tetrahedron_grid_test_output.txt">tetrahedron_grid_test_output.txt</a>,
the output file.
</li>
<li>
<a href = "tetrahedron_grid_test01.m">tetrahedron_grid_test01.m</a>,
sets up a grid of 286 points, generated by subdividing by 10 each side
of the (0,0,0), (1,0,0), (0,1,0), (0,0,1) tetrahedron.
</li>
<li>
<a href = "tetrahedron_grid_test01.xyz">tetrahedron_grid_test01.xyz</a>,
a grid of 286 points, generated by subdividing by 10 each side
of the (0,0,0), (1,0,0), (0,1,0) and (0,0,1) tetrahedron.
</li>
<li>
<a href = "tetrahedron_grid_test01.png">tetrahedron_grid_test01.png</a>,
an image of the points.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../m_src.html">
the MATLAB source codes</a>.
</p>
<hr>
<i>
Last revised on 02 September 2010.
</i>
<!-- John Burkardt -->
</body>
<!-- Initial HTML skeleton created by HTMLINDEX. -->
</html>