1 %% Copyright (c) 2011, INRA
2 %% 2005-2011, 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{circle} = } createDirectedCircle (@var{p1}, @var{p2}, @var{p3})
36 %% @deftypefnx {Function File} {@var{circle} = } createDirectedCircle (@var{p1}, @var{p2})
37 %% Create a circle from 2 or 3 points.
39 %% Creates the circle passing through the 3 given points.
40 %% C is a 1x4 array of the form: [XC YX R INV].
42 %% When two points are given, creates the circle whith center @var{p1} and passing
43 %% throuh the point @var{p2}.
45 %% Works also when input are point arrays the same size, in this case the
46 %% result has as many lines as the point arrays.
51 %% @seealso{circles2d, createCircle}
54 function circle = createDirectedCircle(varargin)
57 % inputs are the center and a point on the circle
60 x0 = (p1(:,1) + p2(:,1))/2;
61 y0 = (p1(:,2) + p2(:,2))/2;
62 r = hypot((p2(:,1)-p1(:,1)), (p2(:,2)-p1(:,2)))/2;
64 % circle is direct by default
68 % inputs are three points on the circle
73 % compute circle center
74 line1 = medianLine(p1, p2);
75 line2 = medianLine(p1, p3);
76 center = intersectLines(line1, line2);
81 r = hypot((p1(:,1)-x0), (p1(:,2)-y0));
83 % compute circle orientation
84 angle = angle3Points(p1, center, p2) + angle3Points(p2, center, p3);