X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fgeometry-1.5.0%2Fgeom2d%2FtransformVector.m;fp=octave_packages%2Fgeometry-1.5.0%2Fgeom2d%2FtransformVector.m;h=8945f6f62dd1fae8c39eaed4d34300ba0ad5db19;hp=0000000000000000000000000000000000000000;hb=c880e8788dfc484bf23ce13fa2787f2c6bca4863;hpb=1705066eceaaea976f010f669ce8e972f3734b05

diff --git a/octave_packages/geometry-1.5.0/geom2d/transformVector.m b/octave_packages/geometry-1.5.0/geom2d/transformVector.m
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+%% Copyright (c) 2011, INRA
+%% 2007-2011, 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{v2} = } transformVector (@var{v}, @var{T})
+%% @deftypefnx {Function File} {[@var{x2} @var{y2}] = } transformVector (@var{x},@var{y}, @var{T})
+%% Transform a vector with an affine transform
+%%
+%%   @var{v} has the form [xv yv], and @var{T} is a [2x2], [2x3] or [3x3]
+%%   matrix, returns the vector transformed with affine transform @var{T}.
+%%
+%%   Format of @var{T} can be one of :
+%% @group
+%%   [a b]   ,   [a b c] , or [a b c]
+%%   [d e]       [d e f]      [d e f]
+%%                            [0 0 1]
+%% @end group
+%%
+%%   Also works when @var{v} is a [Nx2] array of double. In this case, @var{v2} has
+%%   the same size as @var{v}.
+%%
+%%   Also works when @var{x} and @var{y} are arrays the same size. The function
+%%   transform each couple of (@var{x}, @var{y}), and return the result in 
+%%   (@var{x2}, @var{y2}), which is the same size as (@var{x}, @var{y}).
+%%
+%%   @seealso{vectors2d, transforms2d, rotateVector, transformPoint}
+%% @end deftypefn
+
+function varargout = transformVector(varargin)
+
+  if length(varargin)==2
+      var = varargin{1};
+      vx = var(:,1);
+      vy = var(:,2);
+      trans = varargin{2};
+  elseif length(varargin)==3
+      vx = varargin{1};
+      vy = varargin{2};
+      trans = varargin{3};
+  else
+      error('wrong number of arguments in "transformVector"');
+  end
+
+
+  % compute new position of vector
+  vx2 = vx*trans(1,1) + vy*trans(1,2);
+  vy2 = vx*trans(2,1) + vy*trans(2,2);
+
+  if size(trans, 2) == 3
+    vx2 = vx2 + trans(1,3);
+    vy2 = vy2 + trans(2,3);
+  end
+  
+  % format output
+  if nargout==0 || nargout==1
+      varargout{1} = [vx2 vy2];
+  elseif nargout==2
+      varargout{1} = vx2;
+      varargout{2} = vy2;
+  end
+
+endfunction
+
+%!demo
+%! t1 = [2 0 0; 0 2 0];
+%! t2 = [1 0 1; 0 1 1];
+%! t3 = [0.5 0 1; 0 0.5 1; 0 0 1];
+%!
+%! triangle = [-0.5 -1/3; 0.5 -1/3; 0 2/3; -0.5 -1/3];
+%! tr1 = transformVector(triangle,t1);
+%! tr2 = transformVector(triangle,t2);
+%! tr3 = transformVector(triangle,t3);
+%!
+%! plot(triangle(:,1),triangle(:,2),'k-', ...
+%!      tr1(:,1),tr1(:,2),'g-;scaled up;', ...
+%!      tr2(:,1),tr2(:,2),'m-;translated;', ...
+%!      tr3(:,1),tr3(:,2),'b-;scaled down and translated;')
+