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Separable Least-Squares Decomposition of Affine Transformations

P. Thévenaz, M. Unser

Proceedings of the 1997 IEEE International Conference on Image Processing (ICIP'97), Santa Barbara CA, USA, October 26-29, 1997, CD-ROM paper no. 200.



We decompose 2D and 3D invertible affine transformations into a series of elementary shears and skews along the coordinate axis. These elementary operations are one-dimensional, which disposes of the need for non-separable interpolation methods and allows higher-quality approaches for a given processing time. We propose a framework where the transformed function is projected on the original function space in a least-squares sense, which ensures optimal anti-aliasing filters.


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