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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 poly = removeMultipleVertices(poly, varargin)
%REMOVEMULTIPLEVERTICES Remove multiple vertices of a polygon or polyline.
%
% POLY2 = removeMultipleVertices(POLY, EPS)
% Remove adjacent vertices that are closer than the distance EPS to each
% other and merge them to a unique vertex.
%
% POLY2 = removeMultipleVertices(POLY, EPS, CLOSED)
% If CLOSED is true, also check if first and last vertices need to be
% merged. If not specified, CLOSED is false.
%
% Example
% poly = [10 10; 20 10;20 10;20 20;10 20; 10 10];
% poly2 = removeMultipleVertices(poly, true);
% size(poly2, 1)
% ans =
% 4
%
% See also
% polygons2d, mergeClosePoints
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2013-10-04, using Matlab 7.9.0.529 (R2009b)
% Copyright 2013-2023 INRA - Cepia Software Platform
% default values
eps = 1e-14;
closed = false;
% process input options
while ~isempty(varargin)
var = varargin{1};
if islogical(var)
closed = var;
elseif isnumeric(var)
eps = var;
else
error('MatGeom:removeMultipleVertices:IllegalArgument',...
'Can not interpret optional argument');
end
varargin(1) = [];
end
% distance between adjacent vertices
dist = sqrt(sum((poly(2:end,:) - poly(1:end-1,:)).^2, 2));
multi = dist < eps;
% process extremities
if closed
dist = sqrt(sum((poly(end,:) - poly(1,:)).^2, 2));
multi = [multi ; dist < eps];
else
multi = [multi ; false];
end
% remove multiple vertices
poly(multi, :) = [];
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