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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 = signatureToPolygon(signature, varargin)
%SIGNATURETOPOLYGON Reconstruct a polygon from its polar signature.
%
% POLY = signatureToPolygon(SIGNATURE)
% POLY = signatureToPolygon(SIGNATURE, ANGLES)
%
% Example
% signatureToPolygon
%
% See also
% polygonSignature
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2015-04-28, using Matlab 8.4.0.150421 (R2014b)
% Copyright 2015-2023 INRA - Cepia Software Platform
nAngles = length(signature);
% compute default signature
angleList = linspace(0, 360, nAngles+1);
angleList(end) = [];
if ~isempty(varargin)
angleList = varargin{1};
if length(angleList) ~= nAngles
msg = 'signature and angle list must have same length (here %d and %d)';
error(sprintf(msg, nAngles, length(angleList))); %#ok<SPERR>
end
end
poly = zeros(nAngles, 2);
for iAngle = 1:nAngles
angle = angleList(iAngle);
poly(iAngle, :) = signature(iAngle) * [cosd(angle) sind(angle)];
end
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