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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 [points, pos, faceInds] = intersectEdgeMesh3d(edge, varargin)
%INTERSECTEDGEMESH3D Intersection points of a 3D edge with a mesh.
%
% INTERS = intersectEdgeMesh3d(EDGE, VERTICES, FACES)
% Compute the intersection points between a 3D edge and a 3D mesh defined
% by vertices and faces.
%
% [INTERS, POS, INDS] = intersectEdgeMesh3d(EDGE, VERTICES, FACES)
% Also returns the position of each intersection point on the input edge,
% and the index of the intersected faces.
% For edges, the values of POS are expected to be comprised between 0 and
% 1.
%
% Example
% [V, F] = createCube;
% edge = [-1 0.5 0.5 +3 0.5 0.5];
% pts = intersectEdgeMesh3d(edge, V, F)
% pts =
% 1.0000 0.5000 0.5000
% 0 0.5000 0.5000
%
% See also
% meshes3d, interesectLineMesh3d, triangulateFaces
%
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2021-02-24, using Matlab 9.9.0.1570001 (R2020b) Update 4
% Copyright 2021-2023 INRA - Cepia Software Platform
% perform computation on supporting line
line = edgeToLine3d(edge);
[points, pos, faceInds] = intersectLineMesh3d(line, varargin{:});
% identifies intersection points within parameterization bounds
inds = pos >= 0 & pos <= 1;
% select relevant results
points = points(inds, :);
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