X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fgeometry-1.5.0%2Fgeom2d%2FfitAffineTransform2d.m;fp=octave_packages%2Fgeometry-1.5.0%2Fgeom2d%2FfitAffineTransform2d.m;h=c01fc86620d231c8c6d97abf3589998720e3218a;hp=0000000000000000000000000000000000000000;hb=c880e8788dfc484bf23ce13fa2787f2c6bca4863;hpb=1705066eceaaea976f010f669ce8e972f3734b05 diff --git a/octave_packages/geometry-1.5.0/geom2d/fitAffineTransform2d.m b/octave_packages/geometry-1.5.0/geom2d/fitAffineTransform2d.m new file mode 100644 index 0000000..c01fc86 --- /dev/null +++ b/octave_packages/geometry-1.5.0/geom2d/fitAffineTransform2d.m @@ -0,0 +1,73 @@ +%% Copyright (c) 2011, INRA +%% 2009-2011, 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{T} = } fitAffineTransform2d (@var{pts1}, @var{pts2}) +%% Fit an affine transform using two point sets. +%% +%% Example +%% +%% @example +%% N = 10; +%% pts = rand(N, 2)*10; +%% trans = createRotation(3, 4, pi/4); +%% pts2 = transformPoint(pts, trans); +%% pts3 = pts2 + randn(N, 2)*2; +%% fitted = fitAffineTransform2d(pts, pts2) +%%@end example +%% +%% @seealso{transforms2d} +%% @end deftypefn + +function trans = fitAffineTransform2d(pts1, pts2) + + % number of points + N = size(pts1, 1); + + % main matrix of the problem + A = [... + pts1(:,1) pts1(:,2) ones(N,1) zeros(N, 3) ; ... + zeros(N, 3) pts1(:,1) pts1(:,2) ones(N,1) ]; + + % conditions initialisations + B = [pts2(:,1) ; pts2(:,2)]; + + % compute coefficients using least square + coefs = A\B; + + % format to a matrix + trans = [coefs(1:3)' ; coefs(4:6)'; 0 0 1]; + +endfunction + +