X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fgeometry-1.5.0%2Fpolygons2d%2FpolylineSelfIntersections.m;fp=octave_packages%2Fgeometry-1.5.0%2Fpolygons2d%2FpolylineSelfIntersections.m;h=d759be96b04343692711f53a032542c4eb177caf;hp=0000000000000000000000000000000000000000;hb=c880e8788dfc484bf23ce13fa2787f2c6bca4863;hpb=1705066eceaaea976f010f669ce8e972f3734b05 diff --git a/octave_packages/geometry-1.5.0/polygons2d/polylineSelfIntersections.m b/octave_packages/geometry-1.5.0/polygons2d/polylineSelfIntersections.m new file mode 100644 index 0000000..d759be9 --- /dev/null +++ b/octave_packages/geometry-1.5.0/polygons2d/polylineSelfIntersections.m @@ -0,0 +1,153 @@ +## 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} = } polylineSelfIntersections (@var{poly}) +## Find self-intersections points of a polyline +## +## 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 gamma-shaped polyline +## poly = [0 0;0 10;20 10;20 20;10 20;10 0]; +## polylineSelfIntersections(poly) +## ans = +## 10 10 +## +## # use a 'S'-shaped polyline +## poly = [10 0;0 0;0 10;20 10;20 20;10 20]; +## polylineSelfIntersections(poly) +## ans = +## 10 10 +## @end example +## +## @seealso{polygons2d, intersectPolylines, polygonSelfIntersections} +## @end deftypefn + +function varargout = polylineSelfIntersections(poly, varargin) + + ## Initialisations + + # determine whether the polyline is closed + closed = false; + if ~isempty(varargin) + closed = varargin{1}; + if ischar(closed) + if strcmp(closed, 'closed') + closed = true; + elseif strcmp(closed, 'open') + closed = false; + end + end + end + + # if polyline is closed, ensure the last point equals the first one + if closed + if sum(abs(poly(end, :)-poly(1,:))<1e-14)~=2 + poly = [poly; poly(1,:)]; + end + end + + # arrays for storing results + points = zeros(0, 2); + pos1 = zeros(0, 1); + pos2 = zeros(0, 1); + + # number of vertices + Nv = size(poly, 1); + + + ## Main processing + + # index of current intersection + ip = 0; + + # iterate over each couple of edge ( (N-1)*(N-2)/2 iterations) + for i=1:Nv-2 + # create first edge + edge1 = [poly(i, :) poly(i+1, :)]; + for j=i+2:Nv-1 + # create second edge + edge2 = [poly(j, :) poly(j+1, :)]; + + # check conditions on bounding boxes + if min(edge1([1 3]))>max(edge2([1 3])) + continue; + end + if max(edge1([1 3]))max(edge2([2 4])) + continue; + end + if max(edge1([2 4])) + points(ind,:) = []; + pos1(ind) = []; + pos2(ind) = []; + end + + ## Post-processing + + # process output arguments + if nargout<=1 + varargout{1} = points; + elseif nargout==3 + varargout{1} = points; + varargout{2} = pos1; + varargout{3} = pos2; + end + +endfunction