function varargout = trimMesh(varargin)
%TRIMMESH Reduce memory footprint of a polygonal mesh.
%
% [V2, F2] = trimMesh(V, F)
% Unreferenced vertices are removed.
% Following functions are implemented for only numeric faces:
% Duplicate vertices are removed.
% Duplicate faces are removed.
%
% Example
% [V, F] = createIcosahedron;
% F(13:20, :) = [];
% [V2, F2] = trimMesh(V, F);
% figure; drawMesh(V2, F2)
% view(3); axis equal;
% axis([-1 1 -1 1 0 2])
%
% See also
% meshes3d, clipMeshVertices
% ------
% Author: David Legland, oqilipo
% e-mail: david.legland@inra.fr
% Created: 2014-08-01, using Matlab 8.3.0.532 (R2014a)
% Copyright 2014 INRA - Cepia Software Platform.
% parse input data
[vertices, faces] = parseMeshData(varargin{:});
if isnumeric(faces)
% Delete duplicate vertices
[tempVertices, ~, tempFaceVertexIdx] = unique(vertices, 'rows');
tempFaces = tempFaceVertexIdx(faces);
% Delete unindexed/unreferenced vertices
usedVertexIdx = ismember(1:length(tempVertices),unique(tempFaces(:)));
newVertexIdx = cumsum(usedVertexIdx);
faceVertexIdx = 1:length(tempVertices);
faceVertexIdx(usedVertexIdx) = newVertexIdx(usedVertexIdx);
faceVertexIdx(~usedVertexIdx) = nan;
tempFaces2 = faceVertexIdx(tempFaces);
tempVertices2 = tempVertices(usedVertexIdx,:);
% Delete duplicate faces
[~, uniqueFaceIdx, ~] = unique(tempFaces2, 'rows');
duplicateFaceIdx=~ismember(1:size(tempFaces2,1),uniqueFaceIdx);
[vertices2, faces2] = removeMeshFaces(tempVertices2, tempFaces2, duplicateFaceIdx);
elseif iscell(faces)
% identify vertices referenced by a face
vertexUsed = false(size(vertices, 1), 1);
for iFace = 1:length(faces)
face = faces{iFace};
vertexUsed(face) = true;
end
vertices2 = vertices(vertexUsed, :);
% compute map from old index to new index
inds = find(vertexUsed);
newInds = zeros(size(vertices, 1), 1);
for iIndex = 1:length(inds)
newInds(inds(iIndex)) = iIndex;
end
% change labels of vertices referenced by faces
faces2 = cell(1, length(faces));
for iFace = 1:length(faces)
faces2{iFace} = newInds(faces{iFace});
end
else
error('Unsupported format!')
end
% format output arguments
varargout = formatMeshOutput(nargout, vertices2, faces2);