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## Copyright (C) 2012-2017 (C) Juan Pablo Carbajal
##
## This program is free software; you can redistribute it and/or modify it under
## the terms of the GNU General Public License as published by the Free Software
## Foundation; either version 3 of the License, or (at your option) any later
## version.
##
## This program is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
## details.
##
## You should have received a copy of the GNU General Public License along with
## this program; if not, see <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @deftypefn {Function File} {@var{polygon} = } shape2polygon (@var{shape})
## @deftypefnx {Function File} {@var{polygon} = } shape2polygon (@dots{},@var{property},@var{value},@dots{})
## Transforms a 2D shape described by piecewise smooth polynomials into a polygon.
##
## @var{shape} is a n-by-1 cell where each element is a pair of polynomials
## compatible with polyval.
## @var{polygon} is a k-by-2 matrix, where each row represents a vertex.
## The property-value pairs are passed to @code{curve2polyline}.
##
## @seealso{polygon2shape, curve2poyline}
## @end deftypefn
function polygon = shape2polygon (shape, varargin)
polygon = cell2mat ( ...
cellfun (@(x) curve2polyline(x,varargin{:}), shape,'UniformOutput',false) );
polygon = simplifyPolygon(polygon);
if size (polygon, 1) == 1
polygon(2,1) = polyval (shape{1}(1,:), 1);
polygon(2,2) = polyval (shape{1}(2,:), 1);
end
endfunction
%!demo
%! shape = {[-93.172 606.368 -476.054 291.429; ...
%! -431.196 637.253 11.085 163.791]; ...
%! [-75.3626 -253.2337 457.1678 328.5714; ...
%! 438.7659 -653.6278 -7.9953 380.9336]; ...
%! [-89.5841 344.9716 -275.3876 457.1429; ...
%! -170.3613 237.8858 1.0469 158.0765];...
%! [32.900 -298.704 145.804 437.143; ...
%! -243.903 369.597 -34.265 226.648]; ...
%! [-99.081 409.127 -352.903 317.143; ...
%! 55.289 -114.223 -26.781 318.076]; ...
%! [-342.231 191.266 168.108 274.286; ...
%! 58.870 -38.083 -89.358 232.362]};
%!
%! # Estimate a good tolerance
%! n = cell2mat(cellfun(@(x)curveval(x,rand(1,10)), shape, 'uniformoutput',false));
%! dr = (max(n(:,1))-min(n(:,1)))*(max(n(:,2))-min(n(:,2)))*40;
%! p = shape2polygon (shape,'tol',dr);
%!
%! figure(1)
%! plotShape(shape,'-b');
%! hold on;
%! drawPolygon (p,'-or');
%! hold off
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