transforms2d

TRANSFORMS2D Description of functions operating on transforms.

   By 'transform' we mean an affine transform. A planar affine transform
   can be represented by a 3x3 matrix.

   Example
     % create a translation by the vector [10 20]:
     T = createTranslation([10 20])
     T =
          1     0    10
          0     1    20
          0     0     1

     % apply a rotation on a polygon
     poly = [0 0; 30 0;30 10;10 10;10 20;0 20];
     trans = createRotation([10 20], pi/6);
     polyT = transformPoint(poly, trans);
     % display the original and the rotated polygons
     figure; hold on; axis equal; axis([-10 40 -10 40]);
     drawPolygon(poly, 'k');
     drawPolygon(polyT, 'b');


   See also:
   createTranslation, createRotation, createRotation90, createScaling
   createHomothecy, createLineReflection, createBasisTransform
   transformPoint, transformVector, transformLine, transformEdge
   rotateVector, principalAxesTransform, fitAffineTransform2d
   polynomialTransform2d, fitPolynomialTransform2d

0001 function transforms2d(varargin)
0002 %TRANSFORMS2D Description of functions operating on transforms.
0003 %
0004 %   By 'transform' we mean an affine transform. A planar affine transform
0005 %   can be represented by a 3x3 matrix.
0006 %
0007 %   Example
0008 %     % create a translation by the vector [10 20]:
0009 %     T = createTranslation([10 20])
0010 %     T =
0011 %          1     0    10
0012 %          0     1    20
0013 %          0     0     1
0014 %
0015 %     % apply a rotation on a polygon
0016 %     poly = [0 0; 30 0;30 10;10 10;10 20;0 20];
0017 %     trans = createRotation([10 20], pi/6);
0018 %     polyT = transformPoint(poly, trans);
0019 %     % display the original and the rotated polygons
0020 %     figure; hold on; axis equal; axis([-10 40 -10 40]);
0021 %     drawPolygon(poly, 'k');
0022 %     drawPolygon(polyT, 'b');
0023 %
0024 %
0025 %   See also:
0026 %   createTranslation, createRotation, createRotation90, createScaling
0027 %   createHomothecy, createLineReflection, createBasisTransform
0028 %   transformPoint, transformVector, transformLine, transformEdge
0029 %   rotateVector, principalAxesTransform, fitAffineTransform2d
0030 %   polynomialTransform2d, fitPolynomialTransform2d
0031 
0032 
0033 % ------
0034 % Author: David Legland
0035 % e-mail: david.legland@inra.fr
0036 % Created: 2008-10-13,    using Matlab 7.4.0.287 (R2007a)
0037 % Copyright 2008 INRA - BIA PV Nantes - MIAJ Jouy-en-Josas.
0038 
0039 help('transforms2d');