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## Copyright (C) 2024 David Legland
## All rights reserved.
##
## Redistribution and use in source and binary forms, with or without
## modification, are permitted provided that the following conditions are met:
##
## 1 Redistributions of source code must retain the above copyright notice,
## this list of conditions and the following disclaimer.
## 2 Redistributions in binary form must reproduce the above copyright
## notice, this list of conditions and the following disclaimer in the
## documentation and/or other materials provided with the distribution.
##
## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ''AS IS''
## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
## IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
## ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE FOR
## ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
## DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
## SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
## CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
## OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
## OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
##
## The views and conclusions contained in the software and documentation are
## those of the authors and should not be interpreted as representing official
## policies, either expressed or implied, of the copyright holders.
function polys = meshFacePolygons(varargin)
%MESHFACEPOLYGONS Returns the set of polygons that constitutes a mesh.
%
% POLYGONS = meshFacePolygons(V, F)
% POLYGONS = meshFacePolygons(MESH)
%
% Example
% [v f] = createCubeOctahedron;
% polygons = meshFacePolygons(v, f);
% areas = polygonArea3d(polygons);
% sum(areas)
% ans =
% 18.9282
%
% See also
% meshes3d, meshFace, polygonArea3d
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2013-08-20, using Matlab 7.9.0.529 (R2009b)
% Copyright 2013-2023 INRA - Cepia Software Platform
% extract vertices and faces
[v, f] = parseMeshData(varargin{:});
% number of faces
if iscell(f)
nFaces = length(f);
else
nFaces = size(f, 1);
end
% allocate cell array for result
polys = cell(nFaces, 1);
% compute polygon corresponding to each face
if iscell(f)
for i = 1:nFaces
polys{i} = v(f{i}, :);
end
else
for i = 1:nFaces
polys{i} = v(f(i,:), :);
end
end
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