1 %% Copyright (c) 2011, INRA
2 %% 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{b} = } isPointInellipse (@var{point}, @var{ellipse})
36 %% Check if a point is located inside a given ellipse
38 %% B = isPointInEllipse(POINT, ELLIPSE)
39 %% Returns true if point is located inside the given ellipse.
41 %% B = isPointInEllipse(POINT, ELLIPSE, TOL)
42 %% Specifies the tolerance value
45 %% isPointInEllipse([1 0], [0 0 2 1 0])
48 %% isPointInEllipse([0 0], [0 0 2 1 0])
51 %% isPointInEllipse([1 1], [0 0 2 1 0])
54 %% isPointInEllipse([1 1], [0 0 2 1 30])
58 %% @seealso{ellipses2d, isPointInCircle}
61 function b = isPointInEllipse(point, ellipse, varargin)
63 % extract computation tolerance
69 % compute ellipse to unit circle transform
70 rot = createRotation(-deg2rad(ellipse(5)));
71 sca = createScaling(1./ellipse(3:4));
74 % transform points to unit circle basis
75 pTrans = bsxfun(@minus, point, ellipse(:,1:2));
76 pTrans = transformPoint(pTrans, trans);
78 % test if distance to origin smaller than 1
79 b = sqrt(sum(power(pTrans, 2), 2)) - 1 <= tol;