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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 vertices = polygonVertices(poly)
%POLYGONVERTICES Extract all vertices of a (multi-)polygon.
%
% VERTS = polygonVertices(POLY)
% Returns the set of verttices from the polygon POLY. POLY can be either:
% * a N-by-2 array of vertices. In that case, POLY and VERTS are the
% same.
% * a N-by-2 array of vertices with pairs of NaN values separating two
% rings of the polygon. In that case, the array VERTS corresponds to
% the vertices of the polygon, without copying the NaN values.
% * a cell array of loops. In that case, the functions recursively
% process the polygons and populated the vertex array.
%
%
% Example
% % create a polygon with a hole, using NaN for separating rings
% ring1 = [0 0 ; 50 0;50 50;0 50];
% ring2 = [20 20;20 30;30 30;30 20];
% poly = [ring1 ; NaN NaN ; ring2];
% figure; drawPolygon(poly, 'b');
% axis([-10 60 -10 60]); axis equal; hold on;
% verts = polygonVertices(poly);
% drawPoint(verts, 'bo');
%
% % create a polygon with a hole, storing rings in cell array
% ring1 = [0 0 ; 50 0;50 50;0 50];
% ring2 = [20 20;20 30;30 30;30 20];
% poly = {ring1, ring2};
% figure; drawPolygon(poly, 'b');
% axis([-10 60 -10 60]); axis equal; hold on;
% verts = polygonVertices(poly);
% drawPoint(verts, 'bo');
%
% See also
% polygons2d, polygonEdges
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2018-06-07, using Matlab 9.4.0.813654 (R2018a)
% Copyright 2018-2023 INRA - Cepia Software Platform
if isnumeric(poly)
% find NaN or infinite values
inds = sum(isfinite(poly), 2) == 2;
% filter non-finite vertices if necessary
if any(~inds)
vertices = poly(inds, :);
else
vertices = poly;
end
elseif iscell(poly)
% process cell array
vertices = zeros(0, 2);
for i = 1:length(poly)
vertices = [vertices ; polygonVertices(poly{i})]; %#ok<AGROW>
end
end
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