X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fgeometry-1.5.0%2Fgeom2d%2FisPointInEllipse.m;fp=octave_packages%2Fgeometry-1.5.0%2Fgeom2d%2FisPointInEllipse.m;h=725ad93b10232010c6aa2e64f1acfe5976a7d43c;hp=0000000000000000000000000000000000000000;hb=f5f7a74bd8a4900f0b797da6783be80e11a68d86;hpb=1705066eceaaea976f010f669ce8e972f3734b05 diff --git a/octave_packages/geometry-1.5.0/geom2d/isPointInEllipse.m b/octave_packages/geometry-1.5.0/geom2d/isPointInEllipse.m new file mode 100644 index 0000000..725ad93 --- /dev/null +++ b/octave_packages/geometry-1.5.0/geom2d/isPointInEllipse.m @@ -0,0 +1,81 @@ +%% Copyright (c) 2011, INRA +%% 2011, David Legland +%% 2011 Adapted to Octave by Juan Pablo Carbajal +%% +%% All rights reserved. +%% (simplified BSD License) +%% +%% Redistribution and use in source and binary forms, with or without +%% modification, are permitted provided that the following conditions are met: +%% +%% 1. Redistributions of source code must retain the above copyright notice, this +%% list of conditions and the following disclaimer. +%% +%% 2. Redistributions in binary form must reproduce the above copyright notice, +%% this list of conditions and the following disclaimer in the documentation +%% and/or other materials provided with the distribution. +%% +%% THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +%% AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +%% IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE +%% ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE +%% LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +%% CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +%% SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +%% INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +%% CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +%% ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +%% POSSIBILITY OF SUCH DAMAGE. +%% +%% The views and conclusions contained in the software and documentation are +%% those of the authors and should not be interpreted as representing official +%% policies, either expressed or implied, of copyright holder. + +%% -*- texinfo -*- +%% @deftypefn {Function File} {@var{b} = } isPointInellipse (@var{point}, @var{ellipse}) +%% Check if a point is located inside a given ellipse +%% +%% B = isPointInEllipse(POINT, ELLIPSE) +%% Returns true if point is located inside the given ellipse. +%% +%% B = isPointInEllipse(POINT, ELLIPSE, TOL) +%% Specifies the tolerance value +%% +%% Example: +%% isPointInEllipse([1 0], [0 0 2 1 0]) +%% ans = +%% 1 +%% isPointInEllipse([0 0], [0 0 2 1 0]) +%% ans = +%% 1 +%% isPointInEllipse([1 1], [0 0 2 1 0]) +%% ans = +%% 0 +%% isPointInEllipse([1 1], [0 0 2 1 30]) +%% ans = +%% 1 +%% +%% @seealso{ellipses2d, isPointInCircle} +%% @end deftypefn + +function b = isPointInEllipse(point, ellipse, varargin) + + % extract computation tolerance + tol = 1e-14; + if ~isempty(varargin) + tol = varargin{1}; + end + + % compute ellipse to unit circle transform + rot = createRotation(-deg2rad(ellipse(5))); + sca = createScaling(1./ellipse(3:4)); + trans = sca * rot; + + % transform points to unit circle basis + pTrans = bsxfun(@minus, point, ellipse(:,1:2)); + pTrans = transformPoint(pTrans, trans); + + % test if distance to origin smaller than 1 + b = sqrt(sum(power(pTrans, 2), 2)) - 1 <= tol; + +endfunction