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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 inds = meshBoundaryEdgeIndices(varargin)
%MESHBOUNDARYEDGEINDICES Indices of boundary edges of a mesh.
%
% INDS = meshBoundaryVertexIndices(V, F)
% INDS = meshBoundaryVertexIndices(V, E, F)
%
% Example
% % create centered icosahedron
% [v, f] = createIcosahedron;
% v(:,3) = v(:,3) - mean(v(:,3));
% % convert to simili-sphere
% [v2, f2] = subdivideMesh(v, f, 3);
% v3 = normalizeVector3d(v2);
% % clip with plane
% plane = createPlane([0 0 0], [-1 -2 3]);
% [vc, fc] = clipMeshVertices(v3, f2, plane, 'shape', 'plane');
% figure; drawMesh(vc, fc); axis equal; view(3);
% % draw boundary vertices
% ec = meshEdges(vc, fc);
% inds = meshBoundaryEdgeIndices(vc, ec, fc);
% edges = [vc(ec(inds, 1), :) vc(ec(inds, 2), :)];
% hold on; drawEdge3d(edges, 'linewidth', 2, 'color', 'b');
%
% See also
% meshes3d, meshBoundary, meshBoundaryVertexIndices, meshEdgeFaces
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2019-05-01, using Matlab 8.6.0.267246 (R2015b)
% Copyright 2019-2023 INRA - Cepia Software Platform
[vertices, edges, faces] = parseMeshData(varargin{:});
% Compute edge-vertex map if not specified
if isempty(edges)
edges = meshEdges(vertices, faces);
end
% compute edges to faces map
edgeFaces = meshEdgeFaces(vertices, edges, faces);
inds = find(sum(edgeFaces == 0, 2) > 0);
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