File: removeMeshVertices.m

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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 = removeMeshVertices(vertices, faces, indsToRemove)
%REMOVEMESHVERTICES Remove vertices and associated faces from a mesh.
%
%   [V2, F2] = removeMeshVertices(VERTS, FACES, VERTINDS)
%   Removes the vertices specified by the vertex indices VERTINDS, and
%   remove the faces containing one of the removed vertices.
%
%   Example
%     % remove some vertices from a soccerball polyhedron
%     [v, f] = createSoccerBall; 
%     plane = createPlane([.6 0 0], [1 0 0]);
%     indAbove = find(~isBelowPlane(v, plane));
%     [v2, f2] = removeMeshVertices(v, f, indAbove);
%     drawMesh(v2, f2);
%     axis equal; hold on;
%
%   See also 
%     meshes3d, trimMesh

% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2016-02-03, using Matlab 8.6.0.267246 (R2015b)
% Copyright 2016-2023 INRA - Cepia Software Platform

% parse inputs
if nargin == 2
    indsToRemove = faces;
    [vertices, faces] = parseMeshData(vertices);
end

% create array of indices to keep
nVertices = size(vertices, 1);
newInds = (1:nVertices)';
newInds(indsToRemove) = [];

% create new vertex array
vertices2 = vertices(newInds, :);

% compute map from old indices to new indices
oldNewMap = zeros(nVertices, 1);
for iIndex = 1:size(newInds, 1)
   oldNewMap(newInds(iIndex)) = iIndex; 
end

% change labels of vertices referenced by faces
if isnumeric(faces)
    faces2 = oldNewMap(faces);
    if size(faces2,2)==1; faces2=faces2'; end
    % keep only faces with valid vertices
    faces2 = faces2(sum(faces2 == 0, 2) == 0, :);
elseif iscell(faces)
    faces2 = cell(1, length(faces));
    for iFace = 1:length(faces)
         newFace = oldNewMap(faces{iFace});
         % add the new face only if all vertices are valid
         if ~any(newFace == 0)
             faces2{iFace} = newFace;
         end
    end
    
    % remove empty faces
    faces2 = faces2(~cellfun(@isempty, faces2));
end

% format output arguments
varargout = formatMeshOutput(nargout, vertices2, faces2);