1 %% Copyright (c) 2011, INRA
2 %% 2004-2011, David Legland <david.legland@grignon.inra.fr>
3 %% 2011 Adapted to Octave by Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
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35 %% @deftypefn {Function File} {@var{p} = } ellipseAsPolygon (@var{ell}, @var{n})
36 %% Convert an ellipse into a series of points
38 %% P = ellipseAsPolygon(ELL, N);
39 %% converts ELL given as [x0 y0 a b] or [x0 y0 a b theta] into a polygon
40 %% with N edges. The result P is (N+1)-by-2 array containing coordinates
41 %% of the N+1 vertices of the polygon.
42 %% The resulting polygon is closed, i.e. the last point is the same as the
45 %% P = ellipseAsPolygon(ELL);
46 %% Use a default number of edges equal to 72. This result in one piont for
49 %% [X Y] = ellipseAsPolygon(...);
50 %% Return the coordinates o fvertices in two separate arrays.
52 %% @seealso{ellipses2d, circleAsPolygon, rectAsPolygon, drawEllipse}
55 function varargout = ellipseAsPolygon(ellipse, N)
64 if size(ellipse, 2) > 4
68 % get ellipse parameters
75 t = linspace(0, 2*pi, N+1)';
77 % pre-compute trig functions (angles is in degrees)
82 x = xc + a * cos(t) * cot - b * sin(t) * sit;
83 y = yc + a * cos(t) * sit + b * sin(t) * cot;
85 % format output depending on number of a param.