Separable Least-Squares Decomposition of Affine Transformations
P. Thévenaz, M. Unser
Proceedings of the 1997 Fourth 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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AUTHOR="Th{\'{e}}venaz, P. and Unser, M.",
TITLE="Separable Least-Squares Decomposition of Affine Transformations",
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YEAR="1997",
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address="Santa Barbara CA, USA",
month="October 26-29,",
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note="{CD-ROM} paper no.\ 200")
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