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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 varargout = createStellatedMesh(vertices, faces, varargin)
%CREATESTELLATEDMESH Replaces each face of a mesh by a pyramid.
%
% [V2, F2] = createStellatedMesh(V, F)
%
% Example
% [v, f] = createCube
% [v2, f2] = createStellatedMesh(v, f);
% figure; drawMesh(v2, f2); axis equal; view(3);
%
% See also
% meshes3d, drawMesh
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2018-11-27, using Matlab 9.5.0.944444 (R2018b)
% Copyright 2018-2023 INRA - Cepia Software Platform
% properties of mesh
nVertices = size(vertices, 1);
nFaces = size(faces, 1);
% shift coefficients for computing new vertices
coeffs = ones(nFaces, 1);
if ~isempty(varargin)
var1 = varargin{1};
if isnumeric(var1) && isscalar(var1)
coeffs = coeffs * var1;
elseif isnumeric(var1) && length(var1) == nFaces
coeffs = var1(:);
else
error('Coefficients must be either a scalar or a nFaces-by-1 array');
end
end
% supporting line of new vertices
fc = meshFaceCentroids(vertices, faces);
fn = meshFaceNormals(vertices, faces);
% position of new vertices
nv = fc + bsxfun(@times, fn, coeffs);
% create data for new mesh
v2 = [vertices ; nv];
f2 = zeros(nFaces * 3, 3);
indF = 0;
% iterate over faces
for iFace = 1:nFaces
% indices of vertices of current face
face = meshFace(faces, iFace);
% face = faces(iFace, :);
% iterate over edges to create new triangular faces
for ivf = 1:length(face)
ind1 = face(ivf);
ind2 = face(mod(ivf, length(face)) + 1);
indF = indF + 1;
f2(indF, :) = [ind1 ind2 iFace+nVertices];
end
end
% format output
varargout = formatMeshOutput(nargout, v2, f2);
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