X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fgeometry-1.5.0%2Fgeom2d%2FhexagonalGrid.m;fp=octave_packages%2Fgeometry-1.5.0%2Fgeom2d%2FhexagonalGrid.m;h=db89843da3c7d3d6d2c00a4122542bdbce312cf3;hp=0000000000000000000000000000000000000000;hb=f5f7a74bd8a4900f0b797da6783be80e11a68d86;hpb=1705066eceaaea976f010f669ce8e972f3734b05 diff --git a/octave_packages/geometry-1.5.0/geom2d/hexagonalGrid.m b/octave_packages/geometry-1.5.0/geom2d/hexagonalGrid.m new file mode 100644 index 0000000..db89843 --- /dev/null +++ b/octave_packages/geometry-1.5.0/geom2d/hexagonalGrid.m @@ -0,0 +1,122 @@ +%% Copyright (c) 2011, INRA +%% 2007-2011, 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{pts} = } hexagonalGrid (@var{bounds}, @var{origin}, @var{size}) +%% Generate hexagonal grid of points in the plane. +%% +%% usage +%% PTS = hexagonalGrid(BOUNDS, ORIGIN, SIZE) +%% generate points, lying in the window defined by BOUNDS (=[xmin ymin +%% xmax ymax]), starting from origin with a constant step equal to size. +%% SIZE is constant and is equals to the length of the sides of each +%% hexagon. +%% +%% TODO: add possibility to use rotated grid +%% @end deftypefn + +function varargout = hexagonalGrid(bounds, origin, size, varargin) + + size = size(1); + dx = 3*size; + dy = size*sqrt(3); + + + + % consider two square grids with different centers + pts1 = squareGrid(bounds, origin + [0 0], [dx dy], varargin{:}); + pts2 = squareGrid(bounds, origin + [dx/3 0], [dx dy], varargin{:}); + pts3 = squareGrid(bounds, origin + [dx/2 dy/2], [dx dy], varargin{:}); + pts4 = squareGrid(bounds, origin + [-dx/6 dy/2], [dx dy], varargin{:}); + + % gather points + pts = [pts1;pts2;pts3;pts4]; + + + + + % eventually compute also edges, clipped by bounds + % TODO : manage generation of edges + if nargout>1 + edges = zeros([0 4]); + x0 = origin(1); + y0 = origin(2); + + % find all x coordinate + x1 = bounds(1) + mod(x0-bounds(1), dx); + x2 = bounds(3) - mod(bounds(3)-x0, dx); + lx = (x1:dx:x2)'; + + % horizontal edges : first find y's + y1 = bounds(2) + mod(y0-bounds(2), dy); + y2 = bounds(4) - mod(bounds(4)-y0, dy); + ly = (y1:dy:y2)'; + + % number of points in each coord, and total number of points + ny = length(ly); + nx = length(lx); + + if bounds(1)-x1+dx0 + varargout{1} = pts; + + if nargout>1 + varargout{2} = edges; + end + end + +endfunction +