% Contact ythomas@csail.mit.edu or msabuncu@csail.mit.edu for bugs or questions
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%=========================================================================
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% Copyright (c) 2008 Thomas Yeo and Mert Sabuncu
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%Redistribution and use in source and binary forms, with or without
%modification, are permitted provided that the following conditions are met:
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% * Redistributions of source code must retain the above copyright notice,
% this list of conditions and the following disclaimer.
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% * Redistributions in binary form must reproduce the above copyright notice,
% this list of conditions and the following disclaimer in the documentation
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% * Neither the names of the copyright holders nor the names of future
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% software without specific prior written permission.
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%THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
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%WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
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%=========================================================================
function MARS_sbjMesh = MARS_simpleUnfoldMesh(MARS_sbjMesh, reverse_face_bool)

% MARS_sbjMesh = MARS_simpleUnfoldMesh(MARS_sbjMesh, reverse_face_bool)
% reverse_face_bool = 1 if orientation is opposite from that of icosahedron

if(reverse_face_bool)
faces = MARS_sbjMesh.faces;
MARS_sbjMesh.faces = [faces(3,:); faces(2,:); faces(1,:)];
end

[folding_energy, folded_vertices_list] = MARS_computeFoldingEnergyFast(MARS_sbjMesh.vertices, MARS_sbjMesh);
folding_energy = -1e6 * folding_energy;

if(folding_energy < 0)
%tic
disp('Unfolding Mesh!!');
sbjWarp = struct('curr_vertices', MARS_sbjMesh.vertices);
vertexDistSq2Nbors = MARS_computeVertexDistSq2Nbors(int32(size(MARS_sbjMesh.vertexNbors, 1)), int32(size(MARS_sbjMesh.vertices, 2)), int32(MARS_sbjMesh.vertexNbors), single(MARS_sbjMesh.vertices));
MARS_atlas = struct('vertexDistSq2Nbors', single(vertexDistSq2Nbors), 'MARS_uniformMesh_SpatialPrior', MARS_sbjMesh);

MARS_sbjMesh.vertices = MARS_unfoldMesh(MARS_atlas, sbjWarp, folding_energy, 0.3 * sqrt(min(MARS_atlas.vertexDistSq2Nbors(1,:))), 4, 1e6, folded_vertices_list, 1e5);
end

%switch it back!!
if(reverse_face_bool)
faces = MARS_sbjMesh.faces;
MARS_sbjMesh.faces = [faces(3,:); faces(2,:); faces(1,:)];
end