Mercurial > octave-libtiff
view scripts/plot/draw/tetramesh.m @ 30564:796f54d4ddbf stable
update Octave Project Developers copyright for the new year
In files that have the "Octave Project Developers" copyright notice,
update for 2021.
In all .txi and .texi files except gpl.txi and gpl.texi in the
doc/liboctave and doc/interpreter directories, change the copyright
to "Octave Project Developers", the same as used for other source
files. Update copyright notices for 2022 (not done since 2019). For
gpl.txi and gpl.texi, change the copyright notice to be "Free Software
Foundation, Inc." and leave the date at 2007 only because this file
only contains the text of the GPL, not anything created by the Octave
Project Developers.
Add Paul Thomas to contributors.in.
author | John W. Eaton <jwe@octave.org> |
---|---|
date | Tue, 28 Dec 2021 18:22:40 -0500 |
parents | 7854d5752dd2 |
children |
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######################################################################## ## ## Copyright (C) 2012-2022 The Octave Project Developers ## ## See the file COPYRIGHT.md in the top-level directory of this ## distribution or <https://octave.org/copyright/>. ## ## This file is part of Octave. ## ## Octave is free software: you can redistribute it and/or modify it ## under the terms of the GNU General Public License as published by ## the Free Software Foundation, either version 3 of the License, or ## (at your option) any later version. ## ## Octave is distributed in the hope that it will be useful, but ## WITHOUT ANY WARRANTY; without even the implied warranty of ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the ## GNU General Public License for more details. ## ## You should have received a copy of the GNU General Public License ## along with Octave; see the file COPYING. If not, see ## <https://www.gnu.org/licenses/>. ## ######################################################################## ## -*- texinfo -*- ## @deftypefn {} {} tetramesh (@var{T}, @var{X}) ## @deftypefnx {} {} tetramesh (@var{T}, @var{X}, @var{C}) ## @deftypefnx {} {} tetramesh (@dots{}, @var{property}, @var{val}, @dots{}) ## @deftypefnx {} {@var{h} =} tetramesh (@dots{}) ## Display the tetrahedrons defined in the m-by-4 matrix @var{T} as 3-D ## patches. ## ## @var{T} is typically the output of a Delaunay triangulation of a 3-D set ## of points. Every row of @var{T} contains four indices into the n-by-3 ## matrix @var{X} of the vertices of a tetrahedron. Every row in @var{X} ## represents one point in 3-D space. ## ## The vector @var{C} specifies the color of each tetrahedron as an index ## into the current colormap. The default value is 1:m where m is the number ## of tetrahedrons; the indices are scaled to map to the full range of the ## colormap. If there are more tetrahedrons than colors in the colormap then ## the values in @var{C} are cyclically repeated. ## ## Calling @code{tetramesh (@dots{}, "property", "value", @dots{})} passes all ## property/value pairs directly to the patch function as additional arguments. ## The full list of properties is documented at @ref{Patch Properties}. ## ## The optional return value @var{h} is a vector of patch handles where each ## handle represents one tetrahedron in the order given by @var{T}. ## A typical use case for @var{h} is to turn the respective patch ## @qcode{"visible"} property @qcode{"on"} or @qcode{"off"}. ## ## Type @code{demo tetramesh} to see examples on using @code{tetramesh}. ## @seealso{trimesh, delaunay, delaunayn, patch} ## @end deftypefn function h = tetramesh (varargin) [reg, prop] = parseparams (varargin); if (numel (reg) < 2 || numel (reg) > 3) print_usage (); endif T = reg{1}; X = reg{2}; if (! ismatrix (T) || columns (T) != 4) error ("tetramesh: T must be an n-by-4 matrix"); elseif (! ismatrix (X) || columns (X) != 3) error ("tetramesh: X must be an n-by-3 matrix"); endif size_T = rows (T); cmap = colormap (); if (length (reg) < 3) size_cmap = rows (cmap); C = mod ((1:size_T)' - 1, size_cmap) + 1; if (size_T < size_cmap && size_T > 1) ## expand to the available range of colors C = floor ((C - 1) * (size_cmap - 1) / (size_T - 1)) + 1; endif else C = reg{3}; if (! isvector (C) || size_T != length (C)) error ("tetramesh: C must be a vector of the same length as T"); endif endif hax = newplot (); hvec = zeros (size_T, 1); if (strcmp (graphics_toolkit (), "gnuplot")) ## Tiny reduction of the tetrahedron size to help gnuplot by ## avoiding identical faces with different colors for i = 1:size_T [th, p] = __shrink__ ([1 2 3 4], X(T(i, :), :), 1 - 1e-7); hvec(i) = patch ("Faces", th, "Vertices", p, "FaceColor", cmap(C(i), :), "FaceAlpha", 0.9, prop{:}); endfor else ## FLTK does not support FaceAlpha. for i = 1:size_T th = [1 2 3; 2 3 4; 3 4 1; 4 1 2]; hvec(i) = patch ("Faces", th, "Vertices", X(T(i, :), :), "FaceColor", cmap(C(i), :), "FaceAlpha", 1.0, prop{:}); endfor endif if (! ishold ()) set (hax, "view", [-37.5, 30]); endif if (nargout > 0) h = hvec; endif endfunction ## shrink the tetrahedron relative to its center of gravity function [tri, p] = __shrink__ (T, X, sf) midpoint = repmat (sum (X(T, :), 1) / 4, 12, 1); p = [X([1 2 3], :); X([2 3 4], :); X([3 4 1], :); X([4 1 2], :)]; p = sf * (p - midpoint) + midpoint; tri = reshape (1:12, 3, 4)'; endfunction %!demo %! clf; %! d = [-1 1]; %! [x,y,z] = meshgrid (d, d, d); %! x = [x(:); 0]; %! y = [y(:); 0]; %! z = [z(:); 0]; %! tetra = delaunay (x, y, z); %! X = [x(:) y(:) z(:)]; %! colormap (jet (64)); %! h = tetramesh (tetra, X); %! set (h(1:2:end), "visible", "off"); %! axis equal; %! view (30, 20); %! title ({"tetramesh() plot", ... %! "colormap = jet (64), every other tetrahedron invisible"}); %!demo %! clf; %! d = [-1 1]; %! [x,y,z] = meshgrid (d, d, d); %! x = [x(:); 0]; %! y = [y(:); 0]; %! z = [z(:); 0]; %! tetra = delaunay (x, y, z); %! X = [x(:) y(:) z(:)]; %! colormap (gray (256)); %! tetramesh (tetra, X, 21:20:241, "EdgeColor", "w"); %! axis equal; %! view (30, 20); %! title ({"tetramesh() plot", ... %! "colormap = gray (256) with white edges"});