X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fgeometry-1.5.0%2Fpolygons2d%2FpolygonSelfIntersections.m;fp=octave_packages%2Fgeometry-1.5.0%2Fpolygons2d%2FpolygonSelfIntersections.m;h=ec5f43f8cbb289ab682ea739666e3ab94c6b88d7;hp=0000000000000000000000000000000000000000;hb=f5f7a74bd8a4900f0b797da6783be80e11a68d86;hpb=1705066eceaaea976f010f669ce8e972f3734b05 diff --git a/octave_packages/geometry-1.5.0/polygons2d/polygonSelfIntersections.m b/octave_packages/geometry-1.5.0/polygons2d/polygonSelfIntersections.m new file mode 100644 index 0000000..ec5f43f --- /dev/null +++ b/octave_packages/geometry-1.5.0/polygons2d/polygonSelfIntersections.m @@ -0,0 +1,87 @@ +## Copyright (C) 2003-2011 David Legland +## Copyright (C) 2012 Adapted to Octave by Juan Pablo Carbajal +## All rights reserved. +## +## 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 AUTHOR 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 the copyright holders. + +## -*- texinfo -*- +## @deftypefn {Function File} {@var{pts} = } polygonSelfIntersections (@var{poly}) +## @deftypefnx {Function File} {[@var{pts} @var{pos1} @var{pos2}] = } polygonSelfIntersections (@var{poly}) +## Find-self intersection points of a polygon +## +## Return the position of self intersection points +## +## Also return the 2 positions of each intersection point (the position +## when meeting point for first time, then position when meeting point +## for the second time). +## +## Example +## @example +## # use a '8'-shaped polygon +## poly = [10 0;0 0;0 10;20 10;20 20;10 20]; +## polygonSelfIntersections(poly) +## ans = +## 10 10 +## @end example +## +## @seealso{polygons2d, polylineSelfIntersections} +## @end deftypefn + +function varargout = polygonSelfIntersections(poly, varargin) + + tol = 1e-14; + + # ensure the last point equals the first one + if sum(abs(poly(end, :)-poly(1,:)) < tol) ~= 2 + poly = [poly; poly(1,:)]; + end + + # compute intersections by calling algo for polylines + [points pos1 pos2] = polylineSelfIntersections(poly); + + # It may append that first vertex of polygon is detected as intersection, + # the following tries to detect this + n = size(poly, 1) - 1; + inds = (pos1 == 0 & pos2 == n) | (pos1 == n & pos2 == 0); + points(inds, :) = []; + pos1(inds) = []; + pos2(inds) = []; + + # remove multiple intersections + [points I J] = unique(points, 'rows', 'first'); ##ok + pos1 = pos1(I); + pos2 = pos2(I); + + + ## Post-processing + + # process output arguments + if nargout <= 1 + varargout = {points}; + elseif nargout == 3 + varargout = {points, pos1, pos2}; + end + +endfunction