1 ## Copyright (c) 2011 Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
3 ## This program is free software; you can redistribute it and/or modify
4 ## it under the terms of the GNU General Public License as published by
5 ## the Free Software Foundation; either version 3 of the License, or
6 ## (at your option) any later version.
8 ## This program is distributed in the hope that it will be useful,
9 ## but WITHOUT ANY WARRANTY; without even the implied warranty of
10 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
11 ## GNU General Public License for more details.
13 ## You should have received a copy of the GNU General Public License
14 ## along with this program; if not, see <http://www.gnu.org/licenses/>.
17 %% @deftypefn {Function File} {@var{polygon} = } shape2polygon (@var{shape})
18 %% @deftypefnx {Function File} {@var{polygon} = } shape2polygon (@dots{},@var{property},@var{value},@dots{})
19 %% Transforms a 2D shape described by piecewise smooth polynomials into a polygon.
21 %% @var{shape} is a n-by-1 cell where each element is a pair of polynomials
22 %% compatible with polyval.
23 %% @var{polygon} is a k-by-2 matrix, where each row represents a vertex.
24 %% The property-value pairs are passed to @code{curve2polyline}.
26 %% @seealso{polygon2shape, curve2poyline}
29 function polygon = shape2polygon (shape, varargin)
31 polygon = cell2mat ( ...
32 cellfun (@(x) curve2polyline(x,varargin{:}), shape,'UniformOutput',false) );
33 polygon = simplifypolygon(polygon);
35 if size (polygon, 1) == 1
36 polygon(2,1) = polyval (shape{1}(1,:), 1);
37 polygon(2,2) = polyval (shape{1}(2,:), 1);
43 %! shape = {[-93.172 606.368 -476.054 291.429; ...
44 %! -431.196 637.253 11.085 163.791]; ...
45 %! [-75.3626 -253.2337 457.1678 328.5714; ...
46 %! 438.7659 -653.6278 -7.9953 380.9336]; ...
47 %! [-89.5841 344.9716 -275.3876 457.1429; ...
48 %! -170.3613 237.8858 1.0469 158.0765];...
49 %! [32.900 -298.704 145.804 437.143; ...
50 %! -243.903 369.597 -34.265 226.648]; ...
51 %! [-99.081 409.127 -352.903 317.143; ...
52 %! 55.289 -114.223 -26.781 318.076]; ...
53 %! [-342.231 191.266 168.108 274.286; ...
54 %! 58.870 -38.083 -89.358 232.362]};
56 %! % Estimate a good tolerance
57 %! n = cell2mat(cellfun(@(x)curveval(x,rand(1,10)), shape, 'uniformoutput',false));
58 %! dr = (max(n(:,1))-min(n(:,1)))*(max(n(:,2))-min(n(:,2)))*40;
59 %! p = shape2polygon (shape,'tol',dr);
62 %! shapeplot(shape,'-b');
64 %! drawPolygon (p,'-or');