Introduction

This package implements fast image transformations in dimension 2 and 3 with quasi-affine functions.

The code follows the following papers (https://liris.cnrs.fr/david.coeurjolly/publications.html):

• Quasi-Affine Transformation in 3-D: Theory and Algorithms , D. Coeurjolly, V. Blot, M.A. Jacob-DaCol, 13th International Workshop on Combinatorial Image Analysis, Mexico, Springer Verlag, LNCS, 2009.
• Quasi-Affine Transformation in Higher Dimension , V. Blot and D. Coeurjolly, 15th IAPR International Workshop on Discrete Geometry for Computer Imagery, Montreal, Springer LNCS,2009.

How to build it

To compile this code, you would need:

• cmake
• Imagemagick to import 2d image files to transform
• libvol/liblongvol to import 3d vol files (https://liris.cnrs.fr/david.coeurjolly/code/simplevol.html)

LICENSE

• GPLv2, see LICENSE file

TODO

• Implement usePeriodicity and noMultiply in 3D
• Translate comments to english

Details

Arithmetic Kernel: common/mathematic.cpp common/mathematic.hpp

Main classes (data-structure) : common/color.cpp common/color.hpp

Main 2D classes: 2D/image.cpp 2D/image.hpp 2D/paving.cpp 2D/paving.hpp 2D/matrix2x2.cpp 2D/matrix2x2.hpp 2D/vector2d.cpp 2D/vector2d.hpp

Transformation algorithm: 2D/qat.cpp 2D/qat.hpp

Main : 2D/qat-2D.cpp

Main 3D classes: 3D/image3d.cpp 3D/image3d.hpp 3D/paving3d.cpp 3D/paving3d.hpp 3D/matrix3x3.cpp 3D/matrix3x3.hpp 3D/vector3d.cpp 3D/vector3d.hpp

Transformation algorithm: 3D/qat3d.cpp 3D/qat3d.hpp

Main : 3D/qat-3D.cpp