X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?a=blobdiff_plain;ds=sidebyside;f=octave_packages%2Fgeometry-1.5.0%2Fgeom2d%2FcreateScaling.m;fp=octave_packages%2Fgeometry-1.5.0%2Fgeom2d%2FcreateScaling.m;h=80ec3bd4cff71d47784f2f6f3235bd70c6302244;hb=f5f7a74bd8a4900f0b797da6783be80e11a68d86;hp=0000000000000000000000000000000000000000;hpb=1705066eceaaea976f010f669ce8e972f3734b05;p=CreaPhase.git diff --git a/octave_packages/geometry-1.5.0/geom2d/createScaling.m b/octave_packages/geometry-1.5.0/geom2d/createScaling.m new file mode 100644 index 0000000..80ec3bd --- /dev/null +++ b/octave_packages/geometry-1.5.0/geom2d/createScaling.m @@ -0,0 +1,106 @@ +%% 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{T} = } createScaling (@var{s}) +%% @deftypefnx {Function File} {@var{T} = } createScaling (@var{sx}, @var{sy}) +%% Create the 3x3 matrix of a scaling in 2 dimensions. +% +% Assume scaling @var{s} is equal n all directions unless @var{sx} and @var{sy} are given. +% Returns the matrix corresponding to scaling in the 2 main directions. +% The returned matrix has the form: +% [SX 0 0] +% [0 SY 0] +% [0 0 1] +% +% @seealso{transforms2d, transformPoint, createTranslation, createRotation} +%% @end deftypefn + +function trans = createScaling(varargin) + + % defined default arguments + sx = 1; + sy = 1; + cx = 0; + cy = 0; + + % process input arguments + if length(varargin)==1 + % the argument is either the scaling factor in both direction, + % or a 1x2 array containing scaling factor in each direction + var = varargin{1}; + sx = var(1); + sy = var(1); + if length(var)>1 + sy = var(2); + end + elseif length(varargin)==2 + % the 2 arguments are the scaling factors in each dimension + sx = varargin{1}; + sy = varargin{2}; + elseif length(varargin)==3 + % first argument is center, 2nd and 3d are scaling factors + center = varargin{1}; + cx = center(1); + cy = center(2); + sx = varargin{2}; + sy = varargin{3}; + end + + % create result matrix + trans = [sx 0 cx*(1-sx); 0 sy cy*(1-sy); 0 0 1]; + +endfunction + +%!test +%! trans = createScaling(2); +%! assert (trans, [2 0 0;0 2 0;0 0 1], 1e-6); + +%!test +%! trans = createScaling(2, 3); +%! assert (trans, [2 0 0;0 3 0;0 0 1], 1e-6); + +%!test +%! trans = createScaling([2 3]); +%! assert (trans, [2 0 0;0 3 0;0 0 1], 1e-6); + +%!test +%! sx = 2; +%! sy = 3; +%! p0 = [4 5]; +%! trans1 = createScaling(p0, sx, sy); +%! t1 = createTranslation(-p0); +%! sca = createScaling(sx, sy); +%! t2 = createTranslation(p0); +%! trans2 = t2*sca*t1; +%! assert (trans1, trans2, 1e-6);