X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fgeometry-1.5.0%2Fpolygons2d%2FexpandPolygon.m;fp=octave_packages%2Fgeometry-1.5.0%2Fpolygons2d%2FexpandPolygon.m;h=d009454258f311014d4b61e9340692f4253401ca;hp=0000000000000000000000000000000000000000;hb=f5f7a74bd8a4900f0b797da6783be80e11a68d86;hpb=1705066eceaaea976f010f669ce8e972f3734b05 diff --git a/octave_packages/geometry-1.5.0/polygons2d/expandPolygon.m b/octave_packages/geometry-1.5.0/polygons2d/expandPolygon.m new file mode 100644 index 0000000..d009454 --- /dev/null +++ b/octave_packages/geometry-1.5.0/polygons2d/expandPolygon.m @@ -0,0 +1,85 @@ +## 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{loops} = } expandPolygon (@var{poly}, @var{dist}) +## Expand a polygon by a given (signed) distance +## +## Associates to each edge of the polygon @var{poly} the parallel line located +## at distance @var{dist} from the current edge, and compute intersections with +## neighbor parallel lines. The resulting polygon is simplified to remove +## inner "loops", and can be disconnected. +## The result is a cell array, each cell containing a simple linear ring. +## +## This is a kind of dilation, but behaviour on corners is different. +## This function keeps angles of polygons, but there is no direct relation +## between length of 2 polygons. +## +## It is also possible to specify negative distance, and get all points +## inside the polygon. If the polygon is convex, the result equals +## morphological erosion of polygon by a ball with radius equal to the +## given distance. +## +## @seealso{polygons2d} +## @end deftypefn + +function loops = expandPolygon(poly, dist) + + # eventually copy first point at the end to ensure closed polygon + if sum(poly(end, :)==poly(1,:))~=2 + poly = [poly; poly(1,:)]; + end + + # number of vertices of the polygon + N = size(poly, 1)-1; + + # find lines parallel to polygon edges located at distance DIST + lines = zeros(N, 4); + for i=1:N + side = createLine(poly(i,:), poly(i+1,:)); + lines(i, 1:4) = parallelLine(side, dist); + end + + # compute intersection points of consecutive lines + lines = [lines;lines(1,:)]; + poly2 = zeros(N, 2); + for i=1:N + poly2(i,1:2) = intersectLines(lines(i,:), lines(i+1,:)); + end + + # split result polygon into set of loops (simple polygons) + loops = polygonLoops(poly2); + + # keep only loops whose distance to original polygon is correct + distLoop = zeros(length(loops), 1); + for i=1:length(loops) + distLoop(i) = distancePolygons(loops{i}, poly); + end + loops = loops(abs(distLoop-abs(dist))