transforms3d

TRANSFORMS3D  Conventions for manipulating 3D affine transforms.

   By 'transform' we mean an affine transform. A 3D affine transform
   is represented by a 4*4 matrix. The last row of the matrix is equal to
   [0 0 0 1].

   Example
   % create a translation by the vector [10 20 30]:
   T = createTranslation3d([10 20 30]);
   % Transform a basic point:
   PT1 = [4 5 6];
   PT2 = transformPoint3d(PT1, T)
   % returns:
   PT2 = 
       14   25   36

   See also
   composeTransforms3d, createBasisTransform3d, createRotation3dLineAngle,
   createRotationAboutPoint3d, createRotationOx, createRotationOy,
   createRotationOz, createRotationVector3d, createRotationVectorPoint3d,
   createScaling3d, createTranslation3d, eulerAnglesToRotation3d,
   fitAffineTransform3d, isTransform3d, recenterTransform3d,
   rotation3dAxisAndAngle, rotation3dToEulerAngles
   transformCircle3d, transformLine3d, transformPlane3d, transformPoint3d,
   transformPolygon3d, transformVector3d

0001 function transforms3d(varargin)
0002 %TRANSFORMS3D  Conventions for manipulating 3D affine transforms.
0003 %
0004 %   By 'transform' we mean an affine transform. A 3D affine transform
0005 %   is represented by a 4*4 matrix. The last row of the matrix is equal to
0006 %   [0 0 0 1].
0007 %
0008 %   Example
0009 %   % create a translation by the vector [10 20 30]:
0010 %   T = createTranslation3d([10 20 30]);
0011 %   % Transform a basic point:
0012 %   PT1 = [4 5 6];
0013 %   PT2 = transformPoint3d(PT1, T)
0014 %   % returns:
0015 %   PT2 =
0016 %       14   25   36
0017 %
0018 %   See also
0019 %   composeTransforms3d, createBasisTransform3d, createRotation3dLineAngle,
0020 %   createRotationAboutPoint3d, createRotationOx, createRotationOy,
0021 %   createRotationOz, createRotationVector3d, createRotationVectorPoint3d,
0022 %   createScaling3d, createTranslation3d, eulerAnglesToRotation3d,
0023 %   fitAffineTransform3d, isTransform3d, recenterTransform3d,
0024 %   rotation3dAxisAndAngle, rotation3dToEulerAngles
0025 %   transformCircle3d, transformLine3d, transformPlane3d, transformPoint3d,
0026 %   transformPolygon3d, transformVector3d
0027 %
0028 
0029 % ------
0030 % Author: David Legland
0031 % E-mail: david.legland@inrae.fr
0032 % Created: 2008-10-13, using Matlab 7.4.0.287 (R2007a)
0033 % Copyright 2008-2024 INRA - BIA PV Nantes - MIAJ Jouy-en-Josas