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annotate scripts/plot/draw/isosurface.m @ 19734:00e31f316a3a

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Fix Matlab incompatibility of "ismatrix" (bug #42422). * data.cc (isvector): new tests * data.cc (isrow): documentation improved, new tests * data.cc (iscolumn): documentation improved, new tests * data.cc (ismatrix): is matrix now only checks the dimension due to Matlab compatibility, documentation improved, new tests * accumarray.m: use more appropriate function, than ismatrix * gradient.m: use more appropriate function, than ismatrix * num2str.m: use more appropriate functions, than ismatrix * ntsc2rgb.m: use more appropriate function, than ismatrix * condest.m: use more appropriate function, than ismatrix * expm.m: use more appropriate function, than ismatrix * onenormest.m: use more appropriate function, than ismatrix * isocolors.m: use more appropriate function, than ismatrix * isonormals.m: use more appropriate function, than ismatrix * isosurface.m: use more appropriate function, than ismatrix * __errcomm__.m: use more appropriate function, than ismatrix * __interp_cube__.m: use more appropriate function, than ismatrix * __marching_cube__.m: use more appropriate function, than ismatrix * __stem__.m: use more appropriate function, than ismatrix * stairs.m: use more appropriate function, than ismatrix * validsetargs.m: use more appropriate functions, than ismatrix * unique.m: use more appropriate functions, than ismatrix * bicg.m: additional tests for numerical value * bicgstab.m: additional tests for numerical value * cgs.m: additional tests for numerical value * gmres.m: additional tests for numerical value * qmr.m: additional tests for numerical value
author Kai T. Ohlhus <k.ohlhus@gmail.com>
date Thu, 12 Feb 2015 18:34:56 +0100
parents 4197fc428c7d
children 9fc020886ae9
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1 ## Copyright (C) 2009-2015 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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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 @qcode{"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 ## @qcode{"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 separate 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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parents:
diff changeset
106 ##
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parents: 14138
diff changeset
107 ## subplot (2,2,4); view (-38, 20);
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parents: 14138
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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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parents: 14138
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110 ## set (gca, "PlotBoxAspectRatioMode", "manual", ...
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parents: 12529
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111 ## "PlotBoxAspectRatio", [1 1 1]);
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112 ## # set (p, "FaceLighting", "phong");
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parents:
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113 ## # light ("Position", [1 1 5]);
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parents: 12529
diff changeset
114 ## @end smallexample
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parents:
diff changeset
115 ##
12529
0579a13f29a1 Add isocolors, isonormals, isosurface functions to documentation.
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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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diff changeset
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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diff changeset
136 iso = varargin{5};
19734
00e31f316a3a Fix Matlab incompatibility of "ismatrix" (bug #42422).
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parents: 19731
diff changeset
137 if (nargin >= 6 && isnumeric (varargin{6}))
9110
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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
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
142 val = varargin{1};
10842
830e03dd844e isosurface.m: swap rows and columns of matrix in call to meshgrid
Martin Helm <martin@mhelm.de>
parents: 10549
diff changeset
143 [n2, n1, n3] = size (val);
9110
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144 [x, y, z] = meshgrid (1:n1, 1:n2, 1:n3);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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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};
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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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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parents:
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152 if (nargout == 2)
17078
18137205f57d isosurface.m: Update to new version of newplot().
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parents: 16839
diff changeset
153 warning ("isosurface: colors will be calculated, but no output argument to receive it.");
9110
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154 endif
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David Bateman <dbateman@free.fr>
parents:
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155 [fvc.faces, fvc.vertices, fvc.facevertexcdata] = __marching_cube__ (x, y, z, val, iso, colors);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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156 else
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parents:
diff changeset
157 [fvc.faces, fvc.vertices] = __marching_cube__ (x, y, z, val, iso);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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diff changeset
158 endif
11587
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John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
159
9110
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160 if (isempty (fvc.vertices) || isempty (fvc.faces))
17078
18137205f57d isosurface.m: Update to new version of newplot().
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parents: 16839
diff changeset
161 warning ("isosurface: triangulation is empty");
9110
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162 endif
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parents:
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163
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parents:
diff changeset
164 switch (nargout)
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parents:
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165 case 0
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parents:
diff changeset
166 ## plot the calculated surface
17078
18137205f57d isosurface.m: Update to new version of newplot().
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parents: 16839
diff changeset
167 hax = newplot ();
9110
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diff changeset
168 if (calc_colors)
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parents:
diff changeset
169 pa = patch ("Faces", fvc.faces, "Vertices", fvc.vertices,
11587
c792872f8942 all script files: untabify and strip trailing whitespace
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
170 "FaceVertexCData", fvc.facevertexcdata,
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 10226
diff changeset
171 "FaceColor", "flat", "EdgeColor", "none");
9110
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diff changeset
172 else
11587
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parents: 11523
diff changeset
173 pa = patch ("Faces", fvc.faces, "Vertices", fvc.vertices,
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 10226
diff changeset
174 "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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diff changeset
175 endif
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David Bateman <dbateman@free.fr>
parents:
diff changeset
176 if (! ishold ())
17633
382aaf2d533a isosurface.m: Turn off plot box and grid for Matlab visual compatibility.
Rik <rik@octave.org>
parents: 17572
diff changeset
177 set (hax, "view", [-37.5, 30], "box", "off");
9110
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178 endif
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parents:
diff changeset
179 case 1
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diff changeset
180 varargout = {fvc};
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181 case 2
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diff changeset
182 varargout = {fvc.faces, fvc.vertices};
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parents:
diff changeset
183 case 3
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parents:
diff changeset
184 varargout = {fvc.faces, fvc.vertices, fvc.facevertexcdata};
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diff changeset
185 otherwise
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David Bateman <dbateman@free.fr>
parents:
diff changeset
186 print_usage ();
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parents:
diff changeset
187 endswitch
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188
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parents:
diff changeset
189 endfunction
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190
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parents:
diff changeset
191
14237
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
192 %!demo
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
193 %! clf;
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parents: 14138
diff changeset
194 %! [x,y,z] = meshgrid (-2:0.5:2, -2:0.5:2, -2:0.5:2);
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
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parents: 14138
diff changeset
195 %! v = x.^2 + y.^2 + z.^2;
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
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parents: 14138
diff changeset
196 %! isosurface (x, y, z, v, 1);
17633
382aaf2d533a isosurface.m: Turn off plot box and grid for Matlab visual compatibility.
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parents: 17572
diff changeset
197 %! axis equal;
17190
df4c4b7708a4 Add titles and clean-up plotting %!demos.
Rik <rik@octave.org>
parents: 17078
diff changeset
198 %! title ('isosurface of a sphere');
14237
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
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parents: 14138
diff changeset
199
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diff changeset
200 %!shared x, y, z, val
16828
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parents: 14868
diff changeset
201 %! [x, y, z] = meshgrid (0:1, 0:1, 0:1); # Points for single
ddac88d32d6a Make demos in plot m-files compatible with Matlab for running comparison script.
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parents: 14868
diff changeset
202 %! val = [0, 0; 0, 0]; # cube and a 3-D
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parents: 14868
diff changeset
203 %! val(:,:,2) = [0, 0; 1, 0]; # array of values
17078
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parents: 16839
diff changeset
204
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parents:
diff changeset
205 %!test
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14335
diff changeset
206 %! fv = isosurface (x, y, z, val, 0.3);
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14335
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207 %! assert (isfield (fv, "vertices"), true);
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208 %! assert (isfield (fv, "faces"), true);
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209 %! assert (size (fv.vertices), [3 3]);
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210 %! assert (size (fv.faces), [1 3]);
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212 %!test
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213 %! fvc = isosurface (x, y, z, val, .3, y);
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214 %! assert (isfield (fvc, "vertices"), true);
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215 %! assert (isfield (fvc, "faces"), true);
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216 %! assert (isfield (fvc, "facevertexcdata"), true);
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217 %! assert (size (fvc.vertices), [3 3]);
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218 %! assert (size (fvc.faces), [1 3]);
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219 %! assert (size (fvc.facevertexcdata), [3 1]);
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220
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221 %!test
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222 %! [f, v] = isosurface (x, y, z, val, .3);
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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
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226 %!test
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227 %! [f, v, c] = isosurface (x, y, z, val, .3, y);
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228 %! assert (size (f), [1 3]);
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229 %! assert (size (v), [3 3]);
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230 %! assert (size (c), [3 1]);
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231