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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.

AUTHOR="Th{\'{e}}venaz, P. and Unser, M.",
TITLE="Separable Least-Squares Decomposition of Affine
BOOKTITLE="Proceedings of the 1997 {IEEE} International Conference
        on Image Processing ({ICIP'97})",
address="Santa Barbara CA, USA",
month="October 26-29,",
note="{CD-ROM} paper no.\ 200")

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