Mercurial > hg > octave-lyh
annotate scripts/plot/isosurface.m @ 14459:a22a41ab6824
doc: Add Colin Macdonald and Mike Miller to contributors.in
author | Jordi Gutiérrez Hermoso <jordigh@octave.org> |
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date | Tue, 13 Mar 2012 01:30:26 -0400 |
parents | f3d52523cde1 |
children | 460a3c6d8bf1 |
rev | line source |
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1 ## Copyright (C) 2009-2012 Martin Helm |
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2 ## |
11104 | 3 ## This file is part of Octave. |
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4 ## |
11104 | 5 ## Octave is free software; you can redistribute it and/or modify it |
6 ## under the terms of the GNU General Public License as published by | |
7 ## the Free Software Foundation; either version 3 of the License, or (at | |
8 ## your option) any later version. | |
9 ## | |
10 ## Octave is distributed in the hope that it will be useful, but | |
11 ## WITHOUT ANY WARRANTY; without even the implied warranty of | |
12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
13 ## General Public License for more details. | |
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14 ## |
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15 ## You should have received a copy of the GNU General Public License |
11104 | 16 ## along with Octave; see the file COPYING. If not, see |
17 ## <http://www.gnu.org/licenses/>. | |
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18 |
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19 ## -*- texinfo -*- |
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20 ## @deftypefn {Function File} {[@var{fv}] =} isosurface (@var{val}, @var{iso}) |
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21 ## @deftypefnx {Function File} {[@var{fv}] =} isosurface (@var{x}, @var{y}, @var{z}, @var{val}, @var{iso}) |
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22 ## @deftypefnx {Function File} {[@var{fv}] =} isosurface (@dots{}, "noshare", "verbose") |
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23 ## @deftypefnx {Function File} {[@var{fvc}] =} isosurface (@dots{}, @var{col}) |
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24 ## @deftypefnx {Function File} {[@var{f}, @var{v}] =} isosurface (@var{x}, @var{y}, @var{z}, @var{val}, @var{iso}) |
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25 ## @deftypefnx {Function File} {[@var{f}, @var{v}, @var{c}] =} isosurface (@var{x}, @var{y}, @var{z}, @var{val}, @var{iso}, @var{col}) |
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26 ## @deftypefnx {Function File} {} isosurface (@var{x}, @var{y}, @var{z}, @var{val}, @var{iso}, @var{col}, @var{opt}) |
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27 ## |
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28 ## If called with one output argument and the first input argument |
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29 ## @var{val} is a three-dimensional array that contains the data of an |
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30 ## isosurface geometry and the second input argument @var{iso} keeps the |
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31 ## isovalue as a scalar value then return a structure array @var{fv} |
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32 ## that contains the fields @var{Faces} and @var{Vertices} at computed |
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33 ## points @command{[x, y, z] = meshgrid (1:l, 1:m, 1:n)}. The output |
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34 ## argument @var{fv} can directly be taken as an input argument for the |
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35 ## @command{patch} function. |
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36 ## |
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37 ## If called with further input arguments @var{x}, @var{y} and @var{z} |
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38 ## which are three--dimensional arrays with the same size than @var{val} |
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39 ## then the volume data is taken at those given points. |
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40 ## |
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41 ## The string input argument "noshare" is only for compatibility and |
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42 ## has no effect. If given the string input argument |
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43 ## "verbose" then print messages to the command line interface about the |
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44 ## current progress. |
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45 ## |
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46 ## If called with the input argument @var{col} which is a |
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47 ## three-dimensional array of the same size than @var{val} then take |
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48 ## those values for the interpolation of coloring the isosurface |
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49 ## geometry. Add the field @var{FaceVertexCData} to the structure |
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50 ## array @var{fv}. |
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51 ## |
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52 ## If called with two or three output arguments then return the |
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53 ## information about the faces @var{f}, vertices @var{v} and color data |
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54 ## @var{c} as seperate arrays instead of a single structure array. |
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55 ## |
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56 ## If called with no output argument then directly process the |
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57 ## isosurface geometry with the @command{patch} command. |
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58 ## |
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59 ## For example, |
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60 ## |
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61 ## @example |
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62 ## @group |
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63 ## [x, y, z] = meshgrid (1:5, 1:5, 1:5); |
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64 ## val = rand (5, 5, 5); |
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65 ## isosurface (x, y, z, val, .5); |
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66 ## @end group |
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67 ## @end example |
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68 ## |
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69 ## @noindent |
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70 ## will directly draw a random isosurface geometry in a graphics window. |
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71 ## Another example for an isosurface geometry with different additional |
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72 ## coloring |
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73 ## @c Set example in small font to prevent overfull line |
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74 ## |
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75 ## @smallexample |
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76 ## N = 15; # Increase number of vertices in each direction |
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77 ## iso = .4; # Change isovalue to .1 to display a sphere |
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78 ## lin = linspace (0, 2, N); |
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79 ## [x, y, z] = meshgrid (lin, lin, lin); |
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80 ## c = abs ((x-.5).^2 + (y-.5).^2 + (z-.5).^2); |
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81 ## figure (); # Open another figure window |
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82 ## |
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83 ## subplot (2,2,1); view (-38, 20); |
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84 ## [f, v] = isosurface (x, y, z, c, iso); |
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85 ## p = patch ("Faces", f, "Vertices", v, "EdgeColor", "none"); |
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86 ## set (gca, "PlotBoxAspectRatioMode", "manual", ... |
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87 ## "PlotBoxAspectRatio", [1 1 1]); |
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88 ## # set (p, "FaceColor", "green", "FaceLighting", "phong"); |
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89 ## # light ("Position", [1 1 5]); # Available with the JHandles package |
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90 ## |
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91 ## subplot (2,2,2); view (-38, 20); |
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92 ## p = patch ("Faces", f, "Vertices", v, "EdgeColor", "blue"); |
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93 ## set (gca, "PlotBoxAspectRatioMode", "manual", ... |
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94 ## "PlotBoxAspectRatio", [1 1 1]); |
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95 ## # set (p, "FaceColor", "none", "FaceLighting", "phong"); |
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96 ## # light ("Position", [1 1 5]); |
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97 ## |
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98 ## subplot (2,2,3); view (-38, 20); |
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99 ## [f, v, c] = isosurface (x, y, z, c, iso, y); |
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100 ## p = patch ("Faces", f, "Vertices", v, "FaceVertexCData", c, ... |
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101 ## "FaceColor", "interp", "EdgeColor", "none"); |
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102 ## set (gca, "PlotBoxAspectRatioMode", "manual", ... |
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103 ## "PlotBoxAspectRatio", [1 1 1]); |
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104 ## # set (p, "FaceLighting", "phong"); |
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105 ## # light ("Position", [1 1 5]); |
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106 ## |
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107 ## subplot (2,2,4); view (-38, 20); |
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108 ## p = patch ("Faces", f, "Vertices", v, "FaceVertexCData", c, ... |
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109 ## "FaceColor", "interp", "EdgeColor", "blue"); |
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110 ## set (gca, "PlotBoxAspectRatioMode", "manual", ... |
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111 ## "PlotBoxAspectRatio", [1 1 1]); |
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112 ## # set (p, "FaceLighting", "phong"); |
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113 ## # light ("Position", [1 1 5]); |
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114 ## @end smallexample |
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115 ## |
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116 ## @seealso{isonormals, isocolors} |
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117 ## @end deftypefn |
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118 |
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119 ## Author: Martin Helm <martin@mhelm.de> |
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120 |
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121 function varargout = isosurface(varargin) |
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122 |
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123 if (nargin < 2 || nargin > 8 || nargout > 3) |
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124 print_usage (); |
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125 endif |
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126 |
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127 calc_colors = false; |
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128 f = v = c = []; |
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129 verbose = false; |
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130 noshare = false; |
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131 if (nargin >= 5) |
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132 x = varargin{1}; |
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133 y = varargin{2}; |
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134 z = varargin{3}; |
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135 val = varargin{4}; |
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136 iso = varargin{5}; |
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137 if (nargin >= 6 && ismatrix (varargin{6})) |
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138 colors = varargin{6}; |
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139 calc_colors = true; |
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140 endif |
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141 else |
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142 val = varargin{1}; |
10842
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143 [n2, n1, n3] = size (val); |
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144 [x, y, z] = meshgrid (1:n1, 1:n2, 1:n3); |
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145 iso = varargin{2}; |
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146 if (nargin >= 3 && ismatrix (varargin{3})) |
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147 colors = varargin{3}; |
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148 calc_colors = true; |
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149 endif |
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150 endif |
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151 if (calc_colors) |
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152 if (nargout == 2) |
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153 warning ( "Colors will be calculated, but you did not specify an output argument for it!" ); |
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154 endif |
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155 [fvc.faces, fvc.vertices, fvc.facevertexcdata] = __marching_cube__ (x, y, z, val, iso, colors); |
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156 else |
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157 [fvc.faces, fvc.vertices] = __marching_cube__ (x, y, z, val, iso); |
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158 endif |
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159 |
9110
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160 if (isempty (fvc.vertices) || isempty (fvc.faces)) |
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161 warning ( "The resulting triangulation is empty" ); |
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162 endif |
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163 |
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164 switch (nargout) |
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165 case 0 |
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166 ## plot the calculated surface |
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167 newplot (); |
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168 if (calc_colors) |
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169 pa = patch ("Faces", fvc.faces, "Vertices", fvc.vertices, |
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170 "FaceVertexCData", fvc.facevertexcdata, |
10549 | 171 "FaceColor", "flat", "EdgeColor", "none"); |
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172 else |
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173 pa = patch ("Faces", fvc.faces, "Vertices", fvc.vertices, |
10549 | 174 "FaceColor", "g", "EdgeColor", "k"); |
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175 endif |
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176 if (! ishold ()) |
10549 | 177 set (gca(), "view", [-37.5, 30], |
178 "xgrid", "on", "ygrid", "on", "zgrid", "on"); | |
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179 endif |
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180 case 1 |
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181 varargout = {fvc}; |
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182 case 2 |
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183 varargout = {fvc.faces, fvc.vertices}; |
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184 case 3 |
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185 varargout = {fvc.faces, fvc.vertices, fvc.facevertexcdata}; |
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186 otherwise |
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187 print_usage (); |
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188 endswitch |
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189 |
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190 endfunction |
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191 |
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192 |
14237
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193 %!demo |
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194 %! clf; |
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195 %! [x,y,z] = meshgrid (-2:0.5:2, -2:0.5:2, -2:0.5:2); |
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196 %! v = x.^2 + y.^2 + z.^2; |
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197 %! isosurface (x, y, z, v, 1); |
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|
198 |
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199 %!shared x, y, z, val |
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200 %! [x, y, z] = meshgrid (0:1, 0:1, 0:1); %% Points for single |
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201 %! val = [0, 0; 0, 0]; %% cube and a 3-D |
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202 %! val(:,:,2) = [0, 0; 1, 0]; %% array of values |
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203 %!test |
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204 %! fv = isosurface (x, y, z, val, 0.3); |
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205 %! assert (isfield (fv, "vertices"), true); |
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206 %! assert (isfield (fv, "faces"), true); |
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207 %! assert (size (fv.vertices), [3 3]); |
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208 %! assert (size (fv.faces), [1 3]); |
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209 %!test |
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210 %! fvc = isosurface (x, y, z, val, .3, y); |
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211 %! assert (isfield (fvc, "vertices"), true); |
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212 %! assert (isfield (fvc, "faces"), true); |
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213 %! assert (isfield (fvc, "facevertexcdata"), true); |
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214 %! assert (size (fvc.vertices), [3 3]); |
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215 %! assert (size (fvc.faces), [1 3]); |
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216 %! assert (size (fvc.facevertexcdata), [3 1]); |
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217 %!test |
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218 %! [f, v] = isosurface (x, y, z, val, .3); |
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219 %! assert (size (f), [1 3]); |
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220 %! assert (size (v), [3 3]); |
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221 %!test |
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222 %! [f, v, c] = isosurface (x, y, z, val, .3, y); |
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223 %! assert (size (f), [1 3]); |
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224 %! assert (size (v), [3 3]); |
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225 %! assert (size (c), [3 1]); |
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226 |