Mercurial > octave-nkf
annotate scripts/plot/tetramesh.m @ 17281:bc924baa2c4e
doc: Add new @qcode macro for code samples which are quoted.
Macro handles options ("on") or properties ("position") more elegantly
than @code{"text"}.
* doc/interpreter/macros.texi: Add new @qcode macro.
* doc/interpreter/tips.txi: Add documentation about @qcode macro.
* doc/interpreter/basics.txi, doc/interpreter/container.txi,
doc/interpreter/emacs.txi, doc/interpreter/errors.txi,
doc/interpreter/eval.txi, doc/interpreter/expr.txi,
doc/interpreter/external.txi, doc/interpreter/func.txi,
doc/interpreter/grammar.txi, doc/interpreter/image.txi,
doc/interpreter/install.txi, doc/interpreter/interp.txi,
doc/interpreter/io.txi, doc/interpreter/matrix.txi,
doc/interpreter/numbers.txi, doc/interpreter/oop.txi,
doc/interpreter/package.txi, doc/interpreter/plot.txi,
doc/interpreter/quad.txi, doc/interpreter/sparse.txi,
doc/interpreter/strings.txi, doc/interpreter/system.txi,
doc/interpreter/vectorize.txi, libinterp/corefcn/balance.cc,
libinterp/corefcn/bitfcns.cc, libinterp/corefcn/cellfun.cc,
libinterp/corefcn/conv2.cc, libinterp/corefcn/data.cc,
libinterp/corefcn/debug.cc, libinterp/corefcn/defaults.cc,
libinterp/corefcn/dirfns.cc, libinterp/corefcn/dlmread.cc,
libinterp/corefcn/error.cc, libinterp/corefcn/file-io.cc,
libinterp/corefcn/find.cc, libinterp/corefcn/gammainc.cc,
libinterp/corefcn/graphics.cc, libinterp/corefcn/help.cc,
libinterp/corefcn/hex2num.cc, libinterp/corefcn/input.cc,
libinterp/corefcn/load-path.cc, libinterp/corefcn/load-save.cc,
libinterp/corefcn/ls-oct-ascii.cc, libinterp/corefcn/lu.cc,
libinterp/corefcn/luinc.cc, libinterp/corefcn/matrix_type.cc,
libinterp/corefcn/oct-hist.cc, libinterp/corefcn/pager.cc,
libinterp/corefcn/pr-output.cc, libinterp/corefcn/pt-jit.cc,
libinterp/corefcn/qz.cc, libinterp/corefcn/rand.cc,
libinterp/corefcn/regexp.cc, libinterp/corefcn/schur.cc,
libinterp/corefcn/sighandlers.cc, libinterp/corefcn/sparse.cc,
libinterp/corefcn/spparms.cc, libinterp/corefcn/str2double.cc,
libinterp/corefcn/svd.cc, libinterp/corefcn/symtab.cc,
libinterp/corefcn/syscalls.cc, libinterp/corefcn/toplev.cc,
libinterp/corefcn/tril.cc, libinterp/corefcn/typecast.cc,
libinterp/corefcn/utils.cc, libinterp/corefcn/variables.cc,
libinterp/dldfcn/__init_fltk__.cc, libinterp/dldfcn/chol.cc,
libinterp/dldfcn/colamd.cc, libinterp/dldfcn/fftw.cc, libinterp/dldfcn/qr.cc,
libinterp/dldfcn/symbfact.cc, libinterp/octave-value/ov-base.cc,
libinterp/octave-value/ov-fcn-handle.cc,
libinterp/octave-value/ov-fcn-inline.cc, libinterp/octave-value/ov-java.cc,
libinterp/octave-value/ov-range.cc, libinterp/octave-value/ov-struct.cc,
libinterp/octave-value/ov-usr-fcn.cc, libinterp/parse-tree/oct-parse.in.yy,
libinterp/parse-tree/pt-binop.cc, libinterp/parse-tree/pt-eval.cc,
libinterp/parse-tree/pt-mat.cc, scripts/@ftp/ftp.m,
scripts/deprecated/java_convert_matrix.m, scripts/deprecated/java_debug.m,
scripts/deprecated/java_unsigned_conversion.m, scripts/deprecated/shell_cmd.m,
scripts/general/dblquad.m, scripts/general/display.m,
scripts/general/genvarname.m, scripts/general/idivide.m,
scripts/general/interp1.m, scripts/general/interp2.m,
scripts/general/interp3.m, scripts/general/interpn.m, scripts/general/isa.m,
scripts/general/profexplore.m, scripts/general/profile.m,
scripts/general/quadgk.m, scripts/general/randi.m, scripts/general/structfun.m,
scripts/general/subsindex.m, scripts/general/triplequad.m,
scripts/geometry/griddata.m, scripts/geometry/griddata3.m,
scripts/geometry/griddatan.m, scripts/geometry/voronoi.m, scripts/help/help.m,
scripts/help/lookfor.m, scripts/image/cmpermute.m, scripts/image/colormap.m,
scripts/image/image.m, scripts/image/imagesc.m, scripts/image/imfinfo.m,
scripts/image/imformats.m, scripts/image/imread.m, scripts/image/imshow.m,
scripts/image/imwrite.m, scripts/image/ind2gray.m, scripts/image/lines.m,
scripts/image/rgb2ind.m, scripts/image/spinmap.m, scripts/io/dlmwrite.m,
scripts/io/strread.m, scripts/io/textread.m, scripts/io/textscan.m,
scripts/java/javaclasspath.m, scripts/java/usejava.m,
scripts/miscellaneous/bzip2.m, scripts/miscellaneous/computer.m,
scripts/miscellaneous/copyfile.m, scripts/miscellaneous/debug.m,
scripts/miscellaneous/dos.m, scripts/miscellaneous/edit.m,
scripts/miscellaneous/gzip.m, scripts/miscellaneous/license.m,
scripts/miscellaneous/mkoctfile.m, scripts/miscellaneous/movefile.m,
scripts/miscellaneous/parseparams.m, scripts/miscellaneous/unix.m,
scripts/optimization/fminbnd.m, scripts/optimization/fminsearch.m,
scripts/optimization/fminunc.m, scripts/optimization/fsolve.m,
scripts/optimization/fzero.m, scripts/optimization/glpk.m,
scripts/optimization/lsqnonneg.m, scripts/optimization/optimset.m,
scripts/optimization/pqpnonneg.m, scripts/pkg/pkg.m, scripts/plot/allchild.m,
scripts/plot/ancestor.m, scripts/plot/area.m, scripts/plot/axis.m,
scripts/plot/bar.m, scripts/plot/barh.m, scripts/plot/box.m,
scripts/plot/caxis.m, scripts/plot/cla.m, scripts/plot/clabel.m,
scripts/plot/clf.m, scripts/plot/close.m, scripts/plot/colorbar.m,
scripts/plot/daspect.m, scripts/plot/ezmesh.m, scripts/plot/ezmeshc.m,
scripts/plot/ezsurf.m, scripts/plot/ezsurfc.m, scripts/plot/findall.m,
scripts/plot/findobj.m, scripts/plot/gcbo.m, scripts/plot/gcf.m,
scripts/plot/gco.m, scripts/plot/grid.m, scripts/plot/guihandles.m,
scripts/plot/hdl2struct.m, scripts/plot/hidden.m, scripts/plot/hold.m,
scripts/plot/isonormals.m, scripts/plot/isosurface.m, scripts/plot/legend.m,
scripts/plot/mesh.m, scripts/plot/meshc.m, scripts/plot/meshz.m,
scripts/plot/newplot.m, scripts/plot/orient.m, scripts/plot/pareto.m,
scripts/plot/patch.m, scripts/plot/pbaspect.m, scripts/plot/pcolor.m,
scripts/plot/plot.m, scripts/plot/print.m,
scripts/plot/private/__add_default_menu__.m, scripts/plot/quiver.m,
scripts/plot/quiver3.m, scripts/plot/refreshdata.m, scripts/plot/saveas.m,
scripts/plot/scatter.m, scripts/plot/scatter3.m, scripts/plot/shading.m,
scripts/plot/shrinkfaces.m, scripts/plot/slice.m, scripts/plot/stem.m,
scripts/plot/stem3.m, scripts/plot/struct2hdl.m, scripts/plot/subplot.m,
scripts/plot/surf.m, scripts/plot/surfc.m, scripts/plot/surfl.m,
scripts/plot/tetramesh.m, scripts/plot/uigetfile.m, scripts/plot/uimenu.m,
scripts/plot/uiputfile.m, scripts/plot/waterfall.m, scripts/plot/whitebg.m,
scripts/plot/xlim.m, scripts/plot/ylim.m, scripts/plot/zlim.m,
scripts/polynomial/conv.m, scripts/polynomial/polyout.m,
scripts/polynomial/splinefit.m, scripts/set/ismember.m, scripts/set/powerset.m,
scripts/set/setdiff.m, scripts/set/union.m, scripts/set/unique.m,
scripts/signal/detrend.m, scripts/signal/filter2.m, scripts/signal/freqz.m,
scripts/signal/periodogram.m, scripts/signal/spectral_adf.m,
scripts/signal/spectral_xdf.m, scripts/sparse/eigs.m, scripts/sparse/svds.m,
scripts/specfun/legendre.m, scripts/special-matrix/gallery.m,
scripts/statistics/base/mean.m, scripts/statistics/base/moment.m,
scripts/statistics/tests/cor_test.m,
scripts/statistics/tests/kolmogorov_smirnov_test.m,
scripts/statistics/tests/kolmogorov_smirnov_test_2.m,
scripts/statistics/tests/kruskal_wallis_test.m,
scripts/statistics/tests/prop_test_2.m, scripts/statistics/tests/sign_test.m,
scripts/statistics/tests/t_test.m, scripts/statistics/tests/t_test_2.m,
scripts/statistics/tests/t_test_regression.m,
scripts/statistics/tests/u_test.m, scripts/statistics/tests/var_test.m,
scripts/statistics/tests/welch_test.m,
scripts/statistics/tests/wilcoxon_test.m, scripts/statistics/tests/z_test.m,
scripts/statistics/tests/z_test_2.m, scripts/strings/base2dec.m,
scripts/strings/index.m, scripts/strings/isstrprop.m,
scripts/strings/mat2str.m, scripts/strings/regexptranslate.m,
scripts/strings/rindex.m, scripts/strings/str2num.m, scripts/strings/strcat.m,
scripts/strings/strjust.m, scripts/strings/strmatch.m,
scripts/strings/validatestring.m, scripts/testfun/demo.m,
scripts/testfun/example.m, scripts/testfun/test.m, scripts/time/addtodate.m,
scripts/time/asctime.m, scripts/time/datestr.m, scripts/time/datetick.m,
scripts/time/weekday.m, scripts/ui/errordlg.m, scripts/ui/helpdlg.m,
scripts/ui/inputdlg.m, scripts/ui/listdlg.m, scripts/ui/msgbox.m,
scripts/ui/questdlg.m, scripts/ui/warndlg.m: Use new @qcode macro.
| author | Rik <rik@octave.org> |
|---|---|
| date | Mon, 19 Aug 2013 20:46:38 -0700 |
| parents | eaab03308c0b |
| children | 1ccff59592f0 |
| rev | line source |
|---|---|
| 14514 | 1 ## Copyright (C) 2012 Martin Helm |
| 2 ## | |
| 3 ## This file is part of Octave. | |
| 4 ## | |
| 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. | |
| 14 ## | |
| 15 ## You should have received a copy of the GNU General Public License | |
| 16 ## along with Octave; see the file COPYING. If not, see | |
| 17 ## <http://www.gnu.org/licenses/>. | |
| 18 | |
| 19 ## -*- texinfo -*- | |
|
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20 ## @deftypefn {Function File} {} tetramesh (@var{T}, @var{X}) |
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21 ## @deftypefnx {Function File} {} tetramesh (@var{T}, @var{X}, @var{C}) |
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22 ## @deftypefnx {Function File} {} tetramesh (@dots{}, @var{property}, @var{val}, @dots{}) |
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23 ## @deftypefnx {Function File} {@var{h} =} tetramesh (@dots{}) |
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24 ## Display the tetrahedrons defined in the m-by-4 matrix @var{T} as 3-D patches. |
| 14514 | 25 ## |
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26 ## @var{T} is typically the output of a Delaunay triangulation |
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27 ## of a 3-D set of points. Every row of @var{T} contains four indices into |
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28 ## the n-by-3 matrix @var{X} of the vertices of a tetrahedron. Every row in |
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29 ## @var{X} represents one point in 3-D space. |
| 14514 | 30 ## |
|
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31 ## The vector @var{C} specifies the color of each tetrahedron as an index |
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32 ## into the current colormap. The default value is 1:m where m is the number |
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33 ## of tetrahedrons; the indices are scaled to map to the full range of the |
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34 ## colormap. If there are more tetrahedrons than colors in the colormap then |
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35 ## the values in @var{C} are cyclically repeated. |
| 14514 | 36 ## |
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37 ## Calling @code{tetramesh (@dots{}, "property", "value", @dots{})} passes all |
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38 ## property/value pairs directly to the patch function as additional arguments. |
| 14514 | 39 ## |
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40 ## The optional return value @var{h} is a vector of patch handles where each |
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41 ## handle represents one tetrahedron in the order given by @var{T}. |
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42 ## A typical use case for @var{h} is to turn the respective patch |
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43 ## @qcode{"visible"} property @qcode{"on"} or @qcode{"off"}. |
| 14514 | 44 ## |
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45 ## Type @code{demo tetramesh} to see examples on using @code{tetramesh}. |
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46 ## @seealso{trimesh, delaunay3, delaunayn, patch} |
| 14514 | 47 ## @end deftypefn |
| 48 | |
| 49 ## Author: Martin Helm <martin@mhelm.de> | |
| 50 | |
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51 function h = tetramesh (varargin) |
| 14514 | 52 |
| 53 [reg, prop] = parseparams (varargin); | |
| 54 | |
| 55 if (length (reg) < 2 || length (reg) > 3) | |
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56 print_usage (); |
| 14514 | 57 endif |
| 58 | |
| 59 T = reg{1}; | |
| 60 X = reg{2}; | |
| 61 | |
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62 if (! ismatrix (T) || columns (T) != 4) |
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63 error ("tetramesh: T must be a n-by-4 matrix"); |
| 14514 | 64 endif |
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65 if (! ismatrix (X) || columns (X) != 3) |
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66 error ("tetramesh: X must be a n-by-3 matrix"); |
| 14514 | 67 endif |
| 68 | |
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69 size_T = rows (T); |
| 14514 | 70 colmap = colormap (); |
| 71 | |
| 72 if (length (reg) < 3) | |
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73 size_colmap = rows (colmap); |
| 14514 | 74 C = mod ((1:size_T)' - 1, size_colmap) + 1; |
| 75 if (size_T < size_colmap && size_T > 1) | |
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76 ## expand to the available range of colors |
| 14514 | 77 C = floor ((C - 1) * (size_colmap - 1) / (size_T - 1)) + 1; |
| 78 endif | |
| 79 else | |
| 80 C = reg{3}; | |
| 81 if (! isvector (C) || size_T != length (C)) | |
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82 error ("tetramesh: C must be a vector of the same length as T"); |
| 14514 | 83 endif |
| 84 endif | |
| 85 | |
| 86 h = zeros (1, size_T); | |
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87 if (strcmp (graphics_toolkit (), "gnuplot")) |
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88 ## tiny reduction of the tetrahedron size to help gnuplot by |
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89 ## avoiding identical faces with different colors |
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90 for i = 1:size_T |
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91 [th, p] = __shrink__ ([1 2 3 4], X(T(i, :), :), 1 - 1e-7); |
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92 hvec(i) = patch ("Faces", th, "Vertices", p, |
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93 "FaceColor", colmap(C(i), :), prop{:}); |
| 14514 | 94 endfor |
| 95 else | |
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96 for i = 1:size_T |
| 14514 | 97 th = [1 2 3; 2 3 4; 3 4 1; 4 1 2]; |
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98 hvec(i) = patch ("Faces", th, "Vertices", X(T(i, :), :), |
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99 "FaceColor", colmap(C(i), :), prop{:}); |
| 14514 | 100 endfor |
| 101 endif | |
| 102 | |
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103 if (nargout > 0) |
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104 h = hvec; |
| 14514 | 105 endif |
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106 |
| 14514 | 107 endfunction |
| 108 | |
| 109 ## shrink the tetrahedron relative to its center of gravity | |
| 110 function [tri, p] = __shrink__ (T, X, sf) | |
| 111 midpoint = repmat (sum (X(T, :), 1) / 4, 12, 1); | |
| 112 p = [X([1 2 3], :); X([2 3 4], :); X([3 4 1], :); X([4 1 2], :)]; | |
| 113 p = sf * (p - midpoint) + midpoint; | |
| 114 tri = reshape (1:12, 3, 4)'; | |
| 115 endfunction | |
| 116 | |
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117 |
| 14514 | 118 %!demo |
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119 %! clf; |
| 14514 | 120 %! d = [-1 1]; |
| 121 %! [x,y,z] = meshgrid (d, d, d); | |
| 122 %! x = [x(:); 0]; | |
| 123 %! y = [y(:); 0]; | |
| 124 %! z = [z(:); 0]; | |
| 125 %! tetra = delaunay3 (x, y, z); | |
| 126 %! X = [x(:) y(:) z(:)]; | |
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127 %! colormap (jet (64)); |
| 14514 | 128 %! h = tetramesh (tetra, X); |
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129 %! set (h(1:2:end), 'Visible', 'off'); |
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130 %! axis equal; |
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131 %! view (30, 20); |
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132 %! title ('Using jet (64), every other tetrahedron invisible'); |
| 14514 | 133 |
| 134 %!demo | |
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135 %! clf; |
| 14514 | 136 %! d = [-1 1]; |
| 137 %! [x,y,z] = meshgrid (d, d, d); | |
| 138 %! x = [x(:); 0]; | |
| 139 %! y = [y(:); 0]; | |
| 140 %! z = [z(:); 0]; | |
| 141 %! tetra = delaunay3 (x, y, z); | |
| 142 %! X = [x(:) y(:) z(:)]; | |
| 143 %! colormap (gray (256)); | |
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144 %! tetramesh (tetra, X, 21:20:241, 'EdgeColor', 'w'); |
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145 %! axis equal; |
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146 %! view (30, 20); |
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147 %! title ('Using gray (256) and white edges'); |
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148 |