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Add isocolors, isonormals, isosurface functions to documentation.
author Rik <octave@nomad.inbox5.com>
date Sat, 19 Mar 2011 13:06:50 -0700
parents c792872f8942
children 6590446c2498
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1 ## Copyright (C) 2009-2011 Martin Helm
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2 ##
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3 ## This file is part of Octave.
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4 ##
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5 ## Octave is free software; you can redistribute it and/or modify it
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6 ## under the terms of the GNU General Public License as published by
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7 ## the Free Software Foundation; either version 3 of the License, or (at
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8 ## your option) any later version.
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9 ##
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10 ## Octave is distributed in the hope that it will be useful, but
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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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
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16 ## along with Octave; see the file COPYING. If not, see
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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 ##
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74 ## @example
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75 ## N = 15; ## Increase number of vertices in each direction
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76 ## iso = .4; ## Change isovalue to .1 to display a sphere
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77 ## lin = linspace (0, 2, N);
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78 ## [x, y, z] = meshgrid (lin, lin, lin);
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79 ## c = abs ((x-.5).^2 + (y-.5).^2 + (z-.5).^2);
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80 ## figure (); ## Open another figure window
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81 ##
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82 ## subplot (2, 2, 1); view (-38, 20);
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83 ## [f, v] = isosurface (x, y, z, c, iso);
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84 ## p = patch ("Faces", f, "Vertices", v, "EdgeColor", "none");
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85 ## set (gca, "PlotBoxAspectRatioMode","manual", "PlotBoxAspectRatio", [1 1 1]);
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86 ## # set (p, "FaceColor", "green", "FaceLighting", "phong");
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87 ## # light ("Position", [1 1 5]); ## Available with the JHandles package
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88 ##
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89 ## subplot (2, 2, 2); view (-38, 20);
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90 ## p = patch ("Faces", f, "Vertices", v, "EdgeColor", "blue");
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91 ## set (gca, "PlotBoxAspectRatioMode","manual", "PlotBoxAspectRatio", [1 1 1]);
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92 ## # set (p, "FaceColor", "none", "FaceLighting", "phong");
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93 ## # light ("Position", [1 1 5]);
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94 ##
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95 ## subplot (2, 2, 3); view (-38, 20);
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96 ## [f, v, c] = isosurface (x, y, z, c, iso, y);
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97 ## p = patch ("Faces", f, "Vertices", v, "FaceVertexCData", c, \
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98 ## "FaceColor", "interp", "EdgeColor", "none");
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99 ## set (gca, "PlotBoxAspectRatioMode","manual", "PlotBoxAspectRatio", [1 1 1]);
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100 ## # set (p, "FaceLighting", "phong");
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101 ## # light ("Position", [1 1 5]);
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diff changeset
102 ##
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parents:
diff changeset
103 ## 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
104 ## p = patch ("Faces", f, "Vertices", v, "FaceVertexCData", c, \
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diff changeset
105 ## "FaceColor", "interp", "EdgeColor", "blue");
10226
2884758e265b Replace dataaspectratio props with plotboxaspectratio props.
Ben Abbott <bpabbott@mac.com>
parents: 9758
diff changeset
106 ## set (gca, "PlotBoxAspectRatioMode","manual", "PlotBoxAspectRatio", [1 1 1]);
9110
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107 ## # 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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108 ## # light ("Position", [1 1 5]);
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diff changeset
109 ## @end example
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parents:
diff changeset
110 ##
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0579a13f29a1 Add isocolors, isonormals, isosurface functions to documentation.
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parents: 11587
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111 ## @seealso{isonormals, isocolors}
9110
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parents:
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112 ## @end deftypefn
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113
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114 ## Author: Martin Helm <martin@mhelm.de>
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115
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116 function varargout = isosurface(varargin)
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117
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118 if (nargin < 2 || nargin > 8 || nargout > 3)
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119 print_usage ();
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120 endif
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121
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122 calc_colors = false;
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123 f = v = c = [];
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124 verbose = false;
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125 noshare = false;
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126 if (nargin >= 5)
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127 x = varargin{1};
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128 y = varargin{2};
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129 z = varargin{3};
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130 val = varargin{4};
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131 iso = varargin{5};
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132 if (nargin >= 6 && ismatrix (varargin{6}))
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133 colors = varargin{6};
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134 calc_colors = true;
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135 endif
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136 else
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137 val = varargin{1};
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830e03dd844e isosurface.m: swap rows and columns of matrix in call to meshgrid
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138 [n2, n1, n3] = size (val);
9110
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139 [x, y, z] = meshgrid (1:n1, 1:n2, 1:n3);
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140 iso = varargin{2};
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141 if (nargin >= 3 && ismatrix (varargin{3}))
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142 colors = varargin{3};
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143 calc_colors = true;
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144 endif
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145 endif
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146 if (calc_colors)
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147 if (nargout == 2)
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148 warning ( "Colors will be calculated, but you did not specify an output argument for it!" );
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149 endif
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150 [fvc.faces, fvc.vertices, fvc.facevertexcdata] = __marching_cube__ (x, y, z, val, iso, colors);
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151 else
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152 [fvc.faces, fvc.vertices] = __marching_cube__ (x, y, z, val, iso);
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153 endif
11587
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154
9110
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155 if (isempty (fvc.vertices) || isempty (fvc.faces))
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156 warning ( "The resulting triangulation is empty" );
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157 endif
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158
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159 switch (nargout)
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160 case 0
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161 ## plot the calculated surface
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162 newplot ();
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163 if (calc_colors)
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diff changeset
164 pa = patch ("Faces", fvc.faces, "Vertices", fvc.vertices,
11587
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parents: 11523
diff changeset
165 "FaceVertexCData", fvc.facevertexcdata,
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 10226
diff changeset
166 "FaceColor", "flat", "EdgeColor", "none");
9110
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167 else
11587
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parents: 11523
diff changeset
168 pa = patch ("Faces", fvc.faces, "Vertices", fvc.vertices,
10549
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parents: 10226
diff changeset
169 "FaceColor", "g", "EdgeColor", "k");
9110
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170 endif
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171 if (! ishold ())
10549
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parents: 10226
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172 set (gca(), "view", [-37.5, 30],
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parents: 10226
diff changeset
173 "xgrid", "on", "ygrid", "on", "zgrid", "on");
9110
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174 endif
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175 case 1
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176 varargout = {fvc};
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177 case 2
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178 varargout = {fvc.faces, fvc.vertices};
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179 case 3
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180 varargout = {fvc.faces, fvc.vertices, fvc.facevertexcdata};
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181 otherwise
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182 print_usage ();
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183 endswitch
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184
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185 endfunction
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186
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187
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188 %!shared x, y, z, val
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189 %! [x, y, z] = meshgrid (0:1, 0:1, 0:1); ## Points for single
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190 %! val = [0, 0; 0, 0]; ## cube and a 3--dim
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191 %! val(:,:,2) = [0, 0; 1, 0]; ## array of values
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192 %!test
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193 %! fv = isosurface (x, y, z, val, 0.3);
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194 %! assert (isfield (fv, "vertices"), true);
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195 %! assert (isfield (fv, "faces"), true);
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196 %! assert (size (fv.vertices), [3 3]);
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197 %! assert (size (fv.faces), [1 3]);
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198 %!test
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199 %! fvc = isosurface (x, y, z, val, .3, y);
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200 %! assert (isfield (fvc, "vertices"), true);
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201 %! assert (isfield (fvc, "faces"), true);
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202 %! assert (isfield (fvc, "facevertexcdata"), true);
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203 %! assert (size (fvc.vertices), [3 3]);
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204 %! assert (size (fvc.faces), [1 3]);
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205 %! assert (size (fvc.facevertexcdata), [3 1]);
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206 %!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
207 %! [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
208 %! 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
209 %! 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
210 %!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
211 %! [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
212 %! 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
213 %! 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
214 %! 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
215
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 %!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
217 %! 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
218 %! [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
219 %! v = x.^2 + y.^2 + z.^2;
11587
c792872f8942 all script files: untabify and strip trailing whitespace
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
220 %! isosurface (x, y, z, v, 1)