--- /dev/null
+%% Copyright (c) 2011, INRA
+%% 2003-2011, David Legland <david.legland@grignon.inra.fr>
+%% 2011 Adapted to Octave by Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
+%%
+%% 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{line} = } medianLine (@var{p1}, @var{p2})
+%% @deftypefnx {Function File} {@var{line} = } medianLine (@var{pts})
+%% @deftypefnx {Function File} {@var{line} = } medianLine (@var{edge})
+%% Create a median line between two points.
+%%
+%% Create the median line of points @var{p1} and @var{p2}, that is the line containing
+%% all points located at equal distance of @var{p1} and @var{p2}.
+%%
+%% Creates the median line of 2 points, given as a 2*2 array @var{pts}. Array has
+%% the form:
+%% [ [ x1 y1 ] ; [ x2 y2 ] ]
+%%
+%% Creates the median of the @var{edge}. @var{edge} is a 1*4 array, containing [X1 Y1]
+%% coordinates of first point, and [X2 Y2], the coordinates of the second
+%% point.
+%%
+%% Example
+%%
+%% @example
+%% % Draw the median line of two points
+%% P1 = [10 20];
+%% P2 = [30 50];
+%% med = medianLine(P1, P2);
+%% figure; axis square; axis([0 100 0 100]);
+%% drawEdge([P1 P2], 'linewidth', 2, 'color', 'k');
+%% drawLine(med)
+%%
+%% % Draw the median line of an edge
+%% P1 = [50 60];
+%% P2 = [80 30];
+%% edge = createEdge(P1, P2);
+%% figure; axis square; axis([0 100 0 100]);
+%% drawEdge(edge, 'linewidth', 2)
+%% med = medianLine(edge);
+%% drawLine(med)
+%% @end example
+%%
+%% @seealso{lines2d, createLine, orthogonalLine}
+%% @end deftypefn
+
+function lin = medianLine(varargin)
+
+ nargs = length(varargin);
+ x0 = 0;
+ y0 = 0;
+ dx = 0;
+ dy = 0;
+
+ if nargs == 1
+ tab = varargin{1};
+ if size(tab, 2)==2
+ % input is an array of two points
+ x0 = tab(1,1);
+ y0 = tab(1,2);
+ dx = tab(2,1)-x0;
+ dy = tab(2,2)-y0;
+ else
+ % input is an edge
+ x0 = tab(:, 1);
+ y0 = tab(:, 2);
+ dx = tab(:, 3) - tab(:, 1);
+ dy = tab(:, 4) - tab(:, 2);
+ end
+
+ elseif nargs==2
+ % input is given as two points, or two point arrays
+ p1 = varargin{1};
+ p2 = varargin{2};
+ x0 = p1(:, 1);
+ y0 = p1(:, 2);
+ dx = bsxfun(@minus, p2(:, 1), x0);
+ dy = bsxfun(@minus, p2(:, 2), y0);
+
+ else
+ error('Too many input arguments');
+ end
+
+ % compute median using middle point of the edge, and the direction vector
+ % rotated by 90 degrees counter-clockwise
+ lin = [bsxfun(@plus, x0, dx/2), bsxfun(@plus, y0, dy/2), -dy, dx];
+
+endfunction
+
+%!shared privpath
+%! privpath = [fileparts(which('geom2d_Contents')) filesep() 'private'];
+
+%!test
+%! addpath (privpath,'-end')
+%! p1 = [0 0];
+%! p2 = [10 0];
+%! exp = [5 0 0 10];
+%! lin = medianLine(p1, p2);
+%! assertElementsAlmostEqual(exp, lin);
+%! rmpath (privpath);
+
+%!test
+%! addpath (privpath,'-end')
+%! p1 = [0 0];
+%! p2 = [10 0];
+%! exp = [5 0 0 10];
+%! lin = medianLine([p1 p2]);
+%! assertElementsAlmostEqual(exp, lin);
+%! rmpath (privpath);
+
+%!test
+%! addpath (privpath,'-end')
+%! p1 = [0 0; 10 10];
+%! p2 = [10 0;10 20];
+%! exp = [5 0 0 10; 10 15 -10 0];
+%! lin = medianLine(p1, p2);
+%! assertElementsAlmostEqual(exp, lin);
+%! rmpath (privpath);
git://git.creatis.insa-lyon.fr / CreaPhase.git / blobdiff