X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fgeometry-1.5.0%2Fgeom2d%2FradicalAxis.m;fp=octave_packages%2Fgeometry-1.5.0%2Fgeom2d%2FradicalAxis.m;h=c50483b1f125ffb00f948e0111efad144dd24d47;hp=0000000000000000000000000000000000000000;hb=c880e8788dfc484bf23ce13fa2787f2c6bca4863;hpb=1705066eceaaea976f010f669ce8e972f3734b05 diff --git a/octave_packages/geometry-1.5.0/geom2d/radicalAxis.m b/octave_packages/geometry-1.5.0/geom2d/radicalAxis.m new file mode 100644 index 0000000..c50483b --- /dev/null +++ b/octave_packages/geometry-1.5.0/geom2d/radicalAxis.m @@ -0,0 +1,88 @@ +%% Copyright (c) 2011, INRA +%% 2004-2011, 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{line} = } radicalAxis (@var{circle1}, @var{circle2}) +%% Compute the radical axis (or radical line) of 2 circles +%% +%% L = radicalAxis(C1, C2) +%% Computes the radical axis of 2 circles. +%% +%% Example +%% C1 = [10 10 5]; +%% C2 = [60 50 30]; +%% L = radicalAxis(C1, C2); +%% hold on; axis equal;axis([0 100 0 100]); +%% drawCircle(C1);drawCircle(C2);drawLine(L); +%% +%% Ref: +%% http://mathworld.wolfram.com/RadicalLine.html +%% http://en.wikipedia.org/wiki/Radical_axis +%% +%% @seealso{lines2d, circles2d, createCircle} +%% +%% @end deftypefn + +function line = radicalAxis(circle1, circle2) + + % extract circles parameters + x1 = circle1(:,1); + x2 = circle2(:,1); + y1 = circle1(:,2); + y2 = circle2(:,2); + r1 = circle1(:,3); + r2 = circle2(:,3); + + % distance between each couple of centers + dist = sqrt((x2-x1).^2 + (y2-y1).^2); + + % relative position of intersection point of + % the radical line with the line joining circle centers + d = (dist.^2 + r1.^2 - r2.^2) * .5 ./ dist; + + % compute angle of radical axis + angle = lineAngle(createLine([x1 y1], [x2 y2])); + cot = cos(angle); + sit = sin(angle); + + % parameters of the line + x0 = x1 + d*cot; + y0 = y1 + d*sit; + dx = -sit; + dy = cot; + + % concatenate into one structure + line = [x0 y0 dx dy]; + +endfunction +