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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 = removeUnreferencedVertices(v, varargin)
%REMOVEUNREFERENCEDVERTICES Remove unreferenced vertices of a mesh.
%
% [V2, F2] = removeUnreferencedVertices(V, F)
% Remove unreferenced/unindexed vertices of a mesh defined by the
% vertices V and faces F.
%
% [VIDX, FIDX] = removeUnreferencedVertices(V, F, 'indexOutput', true)
% Gives the indices instead of the final mesh. This means:
% V2 = V(VIDX,:)
% F2 = FIDX(F)
%
% Example:
% [v, f] = createCube;
% % Add unreferenced vertices
% for idx = [2, 5, 7]
% v = [v(1:idx,:); rand(1,3); v(idx+1:end,:)];
% f(find(f>idx))=f(find(f>idx))+1; %#ok<FNDSB>
% end
% [v2, f2] = removeUnreferencedVertices(v, f);
%
% See also
% trimMesh, removeDuplicateFaces, removeDuplicateVertices
%
% Source
% remove_unreferenced.m by Alec Jacobson:
% https://github.com/alecjacobson/gptoolbox
% ------
% Author: oqilipo
% E-mail: N/A
% Created: 2023-07-14, using Matlab 9.13.0.2080170 (R2022b) Update 1
% Copyright 2023
%% Parse input
if isstruct(v)
[v, f] = parseMeshData(v);
else
f = varargin{1};
varargin(1) = [];
end
parser = inputParser;
logParValidFunc = @(x) (islogical(x) || isequal(x,1) || isequal(x,0));
addParameter(parser, 'indexOutput', false, logParValidFunc);
parse(parser, varargin{:});
indexOutput = parser.Results.indexOutput;
%% Remove unreferenced/unindexed vertices
if isempty(f)
[vIdx, fIdx] = deal([]);
else
% Get list of unique vertex indices that occur in faces
sF = sort(f(:));
I = [true;diff(sF)~=0];
U = sF(I);
% Get list of vertices that do not occur in faces
n = size(v,1);
NU = find(0==sparse(U,1,1,n,1));
% assert((size(U,1) + size(NU,1)) == n);
% Allocate space for an indexmap
fIdx = zeros(n,1);
% Reindex vertices that occur in faces to be first
fIdx(U) = 1:size(U,1);
% Reindex vertices that do not occur in faces to come after those that do
fIdx(NU) = size(U,1) + (1:size(NU,1));
% New vertices
vIdx = ismember(1:length(v),U);
% v2(fIdx,:) = v;
% v2 = v2(1:max(fIdx(f(:))),:);
end
%% Parse output
if indexOutput
% If indices are requested
varargout = {vIdx, fIdx};
else
v2 = v(vIdx,:);
f2 = fIdx(f);
varargout = formatMeshOutput(nargout, v2, f2);
end
end
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