forked from xiaolongma/jburkardt-f
-
Notifications
You must be signed in to change notification settings - Fork 1
/
toms526.html
236 lines (202 loc) · 5.92 KB
/
toms526.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
<html>
<head>
<title>
TOMS526 - Bivariate interpolation of scattered data
</title>
</head>
<body alink="#ff3300" bgcolor="#eeeeee" link="#cc0000" vlink="#000055">
<h1 align="center">
TOMS526 <br> Bivariate interpolation of scattered data
</h1>
<hr>
<p>
<b>TOMS526</b>
is a FORTRAN90 library which
interpolates scattered bivariate data,
by Hiroshi Akima.
</p>
<p>
<b>TOMS526</b> accepts a set of (X,Y) data points scattered in 2D,
with associated Z data values, and is able to construct a smooth
interpolation function Z(X,Y), which agrees with the given data,
and can be evaluated at other points in the plane.
</p>
<p>
<b>TOMS526</b> is a FORTRAN90 version of ACM TOMS Algorithm 526.
</p>
<p>
The original, true, correct version of ACM TOMS 526 is available
in the TOMS subdirectory of
<a href="http://www.netlib.org/">the NETLIB web site</a>.
</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>TOMS526</b> is available in
<a href = "../../f77_src/toms526/toms526.html">a FORTRAN77 version</a> and
<a href = "../../f_src/toms526/toms526.html">a FORTRAN90 version</a>.
</p>
<h3 align="center">
Related Data and Packages:
</h3>
<p>
<a href = "../../f_src/rbf_interp/rbf_interp.html">
RBF_INTERP</a>,
a FORTRAN90 library which
defines and evaluates radial basis interpolants to multidimensional data.
</p>
<p>
<a href = "../../f_src/toms660/toms660.html">
TOMS660</a>,
a FORTRAN90 library which
takes scattered 2D data and produces an interpolating function F(X,Y),
this is a FORTRAN90 version of ACM TOMS algorithm 660,
called <b>qshep2d</b>,
by Robert Renka.
</p>
<p>
<a href = "../../f_src/toms661/toms661.html">
TOMS661</a>,
a FORTRAN90 library which
takes scattered 3D data and produces an interpolating function F(X,Y,Z),
this is a FORTRAN90 version of ACM TOMS algorithm 661,
called <b>qshep3d</b>,
by Robert Renka.
</p>
<p>
<a href = "../../f77_src/toms790/toms790.html">
TOMS790</a>,
a FORTRAN77 library which
computes an interpolating function to a set of scattered data in the plane;<br>
this library is commonly called <b>CSHEP2D</b>;<br>
by Robert Renka;<br>
this is ACM TOMS algorithm 790.
</p>
<p>
<a href = "../../f77_src/toms792/toms792.html">
TOMS792</a>,
a FORTRAN77 library which
tests functions that interpolate scattered data in the plane;<br>
by Robert Renka;<br>
this is ACM TOMS algorithm 792.
</p>
<h3 align="center">
Author:
</h3>
<p>
Original FORTRAN77 version by Hiroshi Akima.
FORTRAN90 version by John Burkardt.
</p>
<h3 align="center">
Reference:
</h3>
<p>
<ol>
<li>
Hiroshi Akima,<br>
Algorithm 526:
A Method of Bivariate Interpolation and Smooth Surface Fitting
for Values Given at Irregularly Distributed Points,<br>
ACM Transactions on Mathematical Software,<br>
Volume 4, Number 2, June 1978, pages 160-164.
</li>
<li>
Hiroshi Akima, <br>
On Estimating Partial Derivatives for Bivariate Interpolation
of Scattered Data,<br>
Rocky Mountain Journal of Mathematics,<br>
Volume 14, Number 1, Winter 1984, pages 41-51.
</li>
<li>
Richard Franke,<br>
Scattered Data Interpolation: Tests of Some Methods,<br>
Mathematics of Computation,<br>
Volume 38, Number 157, January 1982, pages 181-200.
</li>
</ol>
</p>
<h3 align="center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "toms526.f90">toms526.f90</a>,
the source code.
</li>
<li>
<a href = "toms526.sh">toms526.sh</a>,
commands to compile the source code.
</li>
</ul>
</p>
<h3 align="center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "toms526_prb.f90">toms526_prb.f90</a>,
a sample problem.
</li>
<li>
<a href = "toms526_prb.sh">toms526_prb.sh</a>,
commands to compile, link and run the sample problem.
</li>
<li>
<a href = "toms526_prb_output.txt">toms526_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align="center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>IDBVIP</b> performs bivariate interpolation of irregular X, Y data.
</li>
<li>
<b>IDGRID</b> organizes grid points for surface fitting.
</li>
<li>
<b>IDLCTN</b> finds the triangle that contains a point.
</li>
<li>
<b>IDPDRV</b> estimates first and second partial derivatives at data points.
</li>
<li>
<b>IDPTIP</b> performs interpolation, determining a value of Z given X and Y.
</li>
<li>
<b>IDSFFT</b> performs smooth surface fitting when the projections of the
</li>
<li>
<b>IDTANG</b> performs triangulation.
</li>
<li>
<b>IDXCHG</b> determines whether two triangles should be exchanged.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../f_src.html">
the FORTRAN90 source codes</a>.
</p>
<hr>
<i>
Last revised on 26 January 2012.
</i>
<!-- John Burkardt -->
</body>
</html>