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author Rik <code@nomad.inbox5.com>
date Fri, 23 Apr 2010 11:28:50 -0700
parents 2884758e265b
children 830e03dd844e
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9110
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1 ## Copyright (C) 2009 Martin Helm
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2 ##
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3 ## This program is free software; you can redistribute it and/or modify
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4 ## it under the terms of the GNU General Public License as published by
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5 ## the Free Software Foundation; either version 3 of the License, or
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6 ## (at your option) any later version.
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7 ##
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8 ## This program is distributed in the hope that it will be useful,
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9 ## but WITHOUT ANY WARRANTY; without even the implied warranty of
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10 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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11 ## GNU General Public License for more details.
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12 ##
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13 ## You should have received a copy of the GNU General Public License
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14 ## along with this program; if not, see http://www.gnu.org/licenses/gpl.html.
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15
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16 ## -*- texinfo -*-
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17 ## @deftypefn {Function File} {[@var{fv}] =} isosurface (@var{val}, @var{iso})
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18 ## @deftypefnx {Function File} {[@var{fv}] =} isosurface (@var{x}, @var{y}, @var{z}, @var{val}, @var{iso})
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19 ## @deftypefnx {Function File} {[@var{fv}] =} isosurface (@dots{}, "noshare", "verbose")
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20 ## @deftypefnx {Function File} {[@var{fvc}] =} isosurface (@dots{}, @var{col})
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21 ## @deftypefnx {Function File} {[@var{f}, @var{v}] =} isosurface (@var{x}, @var{y}, @var{z}, @var{val}, @var{iso})
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22 ## @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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23 ## @deftypefnx {Function File} {} isosurface (@var{x}, @var{y}, @var{z}, @var{val}, @var{iso}, @var{col}, @var{opt})
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24 ##
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25 ## If called with one output argument and the first input argument
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26 ## @var{val} is a three--dimensional array that contains the data of an
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27 ## isosurface geometry and the second input argument @var{iso} keeps the
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28 ## isovalue as a scalar value then return a structure array @var{fv}
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29 ## that contains the fields @var{Faces} and @var{Vertices} at computed
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30 ## points @command{[x, y, z] = meshgrid (1:l, 1:m, 1:n)}. The output
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31 ## argument @var{fv} can directly be taken as an input argument for the
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32 ## @command{patch} function.
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33 ##
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34 ## If called with further input arguments @var{x}, @var{y} and @var{z}
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35 ## which are three--dimensional arrays with the same size than @var{val}
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36 ## then the volume data is taken at those given points.
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37 ##
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38 ## The string input argument "noshare" is only for compatibility and
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39 ## has no effect. If given the string input argument
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40 ## "verbose" then print messages to the command line interface about the
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41 ## current progress.
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42 ##
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43 ## If called with the input argument @var{col} which is a
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44 ## three-dimensional array of the same size than @var{val} then take
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45 ## those values for the interpolation of coloring the isosurface
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46 ## geometry. Add the field @var{FaceVertexCData} to the structure
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47 ## array @var{fv}.
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48 ##
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49 ## If called with two or three output arguments then return the
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50 ## information about the faces @var{f}, vertices @var{v} and color data
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51 ## @var{c} as seperate arrays instead of a single structure array.
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52 ##
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53 ## If called with no output argument then directly process the
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54 ## isosurface geometry with the @command{patch} command.
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55 ##
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56 ## For example
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57 ##
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58 ## @example
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59 ## @group
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60 ## [x, y, z] = meshgrid (1:5, 1:5, 1:5);
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61 ## val = rand (5, 5, 5);
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62 ## isosurface (x, y, z, val, .5);
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63 ## @end group
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64 ## @end example
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65 ##
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66 ## will directly draw a random isosurface geometry in a graphics window.
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67 ## Another example for an isosurface geometry with different additional
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68 ## coloring
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69 ##
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70 ## @example
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71 ## N = 15; ## Increase number of vertices in each direction
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72 ## iso = .4; ## Change isovalue to .1 to display a sphere
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73 ## lin = linspace (0, 2, N);
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74 ## [x, y, z] = meshgrid (lin, lin, lin);
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75 ## c = abs ((x-.5).^2 + (y-.5).^2 + (z-.5).^2);
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76 ## figure (); ## Open another figure window
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77 ##
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78 ## subplot (2, 2, 1); view (-38, 20);
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79 ## [f, v] = isosurface (x, y, z, c, iso);
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80 ## p = patch ("Faces", f, "Vertices", v, "EdgeColor", "none");
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81 ## set (gca, "PlotBoxAspectRatioMode","manual", "PlotBoxAspectRatio", [1 1 1]);
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82 ## # set (p, "FaceColor", "green", "FaceLighting", "phong");
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83 ## # light ("Position", [1 1 5]); ## Available with the JHandles package
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84 ##
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85 ## subplot (2, 2, 2); view (-38, 20);
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86 ## p = patch ("Faces", f, "Vertices", v, "EdgeColor", "blue");
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87 ## set (gca, "PlotBoxAspectRatioMode","manual", "PlotBoxAspectRatio", [1 1 1]);
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88 ## # set (p, "FaceColor", "none", "FaceLighting", "phong");
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89 ## # light ("Position", [1 1 5]);
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90 ##
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91 ## subplot (2, 2, 3); view (-38, 20);
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92 ## [f, v, c] = isosurface (x, y, z, c, iso, y);
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93 ## p = patch ("Faces", f, "Vertices", v, "FaceVertexCData", c, \
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94 ## "FaceColor", "interp", "EdgeColor", "none");
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95 ## set (gca, "PlotBoxAspectRatioMode","manual", "PlotBoxAspectRatio", [1 1 1]);
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96 ## # set (p, "FaceLighting", "phong");
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97 ## # light ("Position", [1 1 5]);
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parents:
diff changeset
98 ##
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parents:
diff changeset
99 ## subplot (2, 2, 4); view (-38, 20);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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parents:
diff changeset
100 ## p = patch ("Faces", f, "Vertices", v, "FaceVertexCData", c, \
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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parents:
diff changeset
101 ## "FaceColor", "interp", "EdgeColor", "blue");
10226
2884758e265b Replace dataaspectratio props with plotboxaspectratio props.
Ben Abbott <bpabbott@mac.com>
parents: 9758
diff changeset
102 ## set (gca, "PlotBoxAspectRatioMode","manual", "PlotBoxAspectRatio", [1 1 1]);
9110
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parents:
diff changeset
103 ## # set (p, "FaceLighting", "phong");
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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parents:
diff changeset
104 ## # light ("Position", [1 1 5]);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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parents:
diff changeset
105 ## @end example
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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parents:
diff changeset
106 ##
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parents:
diff changeset
107 ## @seealso{isocolors, isonormals, isocaps}
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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parents:
diff changeset
108 ##
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parents:
diff changeset
109 ## @end deftypefn
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110
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parents:
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111 ## Author: Martin Helm <martin@mhelm.de>
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112
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113 function varargout = isosurface(varargin)
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114
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115 if (nargin < 2 || nargin > 8 || nargout > 3)
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116 print_usage ();
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117 endif
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118
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119 calc_colors = false;
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120 f = v = c = [];
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121 verbose = false;
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122 noshare = false;
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123 if (nargin >= 5)
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124 x = varargin{1};
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125 y = varargin{2};
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126 z = varargin{3};
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127 val = varargin{4};
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128 iso = varargin{5};
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129 if (nargin >= 6 && ismatrix (varargin{6}))
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130 colors = varargin{6};
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131 calc_colors = true;
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132 endif
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133 else
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134 val = varargin{1};
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135 [n1, n2, n3] = size (val);
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136 [x, y, z] = meshgrid (1:n1, 1:n2, 1:n3);
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137 iso = varargin{2};
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138 if (nargin >= 3 && ismatrix (varargin{3}))
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139 colors = varargin{3};
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140 calc_colors = true;
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141 endif
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142 endif
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143 if (calc_colors)
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144 if (nargout == 2)
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parents:
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145 warning ( "Colors will be calculated, but you did not specify an output argument for it!" );
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146 endif
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147 [fvc.faces, fvc.vertices, fvc.facevertexcdata] = __marching_cube__ (x, y, z, val, iso, colors);
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148 else
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149 [fvc.faces, fvc.vertices] = __marching_cube__ (x, y, z, val, iso);
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150 endif
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151
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152 if (isempty (fvc.vertices) || isempty (fvc.faces))
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153 warning ( "The resulting triangulation is empty" );
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154 endif
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155
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156 switch (nargout)
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parents:
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157 case 0
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parents:
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158 ## plot the calculated surface
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parents:
diff changeset
159 newplot ();
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160 if (calc_colors)
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David Bateman <dbateman@free.fr>
parents:
diff changeset
161 pa = patch ("Faces", fvc.faces, "Vertices", fvc.vertices,
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 10226
diff changeset
162 "FaceVertexCData", fvc.facevertexcdata,
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 10226
diff changeset
163 "FaceColor", "flat", "EdgeColor", "none");
9110
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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164 else
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parents:
diff changeset
165 pa = patch ("Faces", fvc.faces, "Vertices", fvc.vertices,
10549
95c3e38098bf Untabify .m scripts
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parents: 10226
diff changeset
166 "FaceColor", "g", "EdgeColor", "k");
9110
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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167 endif
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168 if (! ishold ())
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 10226
diff changeset
169 set (gca(), "view", [-37.5, 30],
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 10226
diff changeset
170 "xgrid", "on", "ygrid", "on", "zgrid", "on");
9110
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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171 endif
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172 case 1
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parents:
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173 varargout = {fvc};
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174 case 2
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parents:
diff changeset
175 varargout = {fvc.faces, fvc.vertices};
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parents:
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176 case 3
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diff changeset
177 varargout = {fvc.faces, fvc.vertices, fvc.facevertexcdata};
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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parents:
diff changeset
178 otherwise
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parents:
diff changeset
179 print_usage ();
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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180 endswitch
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181
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diff changeset
182 endfunction
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183
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diff changeset
184
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185 %!shared x, y, z, val
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186 %! [x, y, z] = meshgrid (0:1, 0:1, 0:1); ## Points for single
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parents:
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187 %! val = [0, 0; 0, 0]; ## cube and a 3--dim
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parents:
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188 %! val(:,:,2) = [0, 0; 1, 0]; ## array of values
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diff changeset
189 %!test
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190 %! fv = isosurface (x, y, z, val, 0.3);
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191 %! assert (isfield (fv, "vertices"), true);
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192 %! assert (isfield (fv, "faces"), true);
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193 %! assert (size (fv.vertices), [3 3]);
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194 %! assert (size (fv.faces), [1 3]);
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195 %!test
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196 %! fvc = isosurface (x, y, z, val, .3, y);
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197 %! assert (isfield (fvc, "vertices"), true);
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198 %! assert (isfield (fvc, "faces"), true);
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199 %! assert (isfield (fvc, "facevertexcdata"), true);
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200 %! assert (size (fvc.vertices), [3 3]);
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201 %! assert (size (fvc.faces), [1 3]);
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diff changeset
202 %! assert (size (fvc.facevertexcdata), [3 1]);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
203 %!test
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
204 %! [f, v] = isosurface (x, y, z, val, .3);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
205 %! assert (size (f), [1 3]);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
206 %! assert (size (v), [3 3]);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
207 %!test
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
208 %! [f, v, c] = isosurface (x, y, z, val, .3, y);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
209 %! assert (size (f), [1 3]);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
210 %! assert (size (v), [3 3]);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
211 %! assert (size (c), [3 1]);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
212
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
213 %!demo
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
214 %! clf
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
215 %! [x,y,z] = meshgrid(-2:0.5:2, -2:0.5:2, -2:0.5:2);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
216 %! v = x.^2 + y.^2 + z.^2;
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
217 %! isosurface (x, y, z, v, 1)