-
Notifications
You must be signed in to change notification settings - Fork 59
/
Copy pathshepard_interp_nd.html
198 lines (165 loc) · 5.23 KB
/
shepard_interp_nd.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
<html>
<head>
<title>
SHEPARD_INTERP_ND - Shepard Interpolation of Multidimensional Data
</title>
</head>
<body bgcolor="#eeeeee" link="#cc0000" alink="#ff3300" vlink="#000055">
<h1 align = "center">
SHEPARD_INTERP_ND <br> Shepard Interpolation of Multidimensional Data
</h1>
<hr>
<p>
<b>SHEPARD_INTERP_ND</b>
is a FORTRAN90 library which
defines and evaluates Shepard interpolants to multidimensional data,
based on inverse distance weighting.
</p>
<p>
<b>SHEPARD_INTERP_ND</b> needs the R8LIB library. The test needs the
TEST_INTERP_ND library.
</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>SHEPARD_INTERP_ND</b> is available in
<a href = "../../c_src/shepard_interp_nd/shepard_interp_nd.html">a C version</a> and
<a href = "../../cpp_src/shepard_interp_nd/shepard_interp_nd.html">a C++ version</a> and
<a href = "../../f77_src/shepard_interp_nd/shepard_interp_nd.html">a FORTRAN77 version</a> and
<a href = "../../f_src/shepard_interp_nd/shepard_interp_nd.html">a FORTRAN90 version</a> and
<a href = "../../m_src/shepard_interp_nd/shepard_interp_nd.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/lagrange_interp_nd/lagrange_interp_nd.html">
LAGRANGE_INTERP_ND</a>,
a FORTRAN90 library which
defines and evaluates the Lagrange polynomial p(x)
which interpolates a set of data depending on a multidimensional argument x
that was evaluated on a product grid, so that p(x(i)) = z(i).
</p>
<p>
<a href = "../../f_src/r8lib/r8lib.html">
R8LIB</a>,
a FORTRAN90 library which
contains many utility routines using double precision real (R8) arithmetic.
</p>
<p>
<a href = "../../f_src/rbf_interp_nd/rbf_interp_nd.html">
RBF_INTERP_ND</a>,
a FORTRAN90 library which
defines and evaluates radial basis function (RBF) interpolants to multidimensional data.
</p>
<p>
<a href = "../../f_src/shepard_interp_1d/shepard_interp_1d.html">
SHEPARD_INTERP_1D</a>,
a FORTRAN90 library which
defines and evaluates Shepard interpolants to 1D data,
which are based on inverse distance weighting.
</p>
<p>
<a href = "../../f_src/shepard_interp_2d/shepard_interp_2d.html">
SHEPARD_INTERP_2D</a>,
a FORTRAN90 library which
defines and evaluates Shepard interpolants to 2D data,
which are based on inverse distance weighting.
</p>
<p>
<a href = "../../f_src/sparse_interp_nd/sparse_interp_nd.html">
SPARSE_INTERP_ND</a>
a FORTRAN90 library which
can be used to define a sparse interpolant to a function f(x) of a
multidimensional argument.
</p>
<p>
<a href = "../../f_src/test_interp_nd/test_interp_nd.html">
TEST_INTERP_ND</a>,
a FORTRAN90 library which
defines test problems for interpolation of data z(x),
depending on an M-dimensional argument.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<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>
<li>
Donald Shepard,<br>
A two-dimensional interpolation function for irregularly spaced data,<br>
ACM '68: Proceedings of the 1968 23rd ACM National Conference,<br>
ACM, pages 517-524, 1969.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "shepard_interp.f90">shepard_interp.f90</a>, the source code.
</li>
<li>
<a href = "shepard_interp.sh">shepard_interp.sh</a>,
BASH commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "shepard_interp_prb.f90">shepard_interp_prb.f90</a>,
a sample calling program.
</li>
<li>
<a href = "shepard_interp_prb.sh">shepard_interp_prb.sh</a>,
BASH commands to compile and run the sample program.
</li>
<li>
<a href = "shepard_interp_prb_output.txt">shepard_interp_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>SHEPARD_INTERP</b> evaluates a Shepard interpolant in M dimensions.
</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 22 September 2012.
</i>
<!-- John Burkardt -->
</body>
<!-- Initial HTML skeleton created by HTMLINDEX. -->
</html>