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2 September 2009 A new resampling approach for optimal reconstruction
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This paper offers an introduction to a new paradigm for resampling filters (both downsampling and upsampling filters), with an emphasis on a new performance metric - the roundtrip (down, up) high resolution reconstruction quality. Existing philosophy in the construction of resampling filters is to design them individually to minimize aliasing artifacts caused by the resampling process. The net result of a roundtrip high-to-low-to-high resolution reconstruction while using such filters certainly minimizes aliasing, but misses an important opportunity -- to capture more information in the lower resolution signal which, though aliased, can contribute to higher quality reconstruction when paired with an appropriately designed upsampling filter. While the criterion of high-resolution reconstruction quality is not new, alias control has been so heavily emphasized to date that surprisingly little work has been done in the literature to specifically address this important metric. We provide a setting for this new theory in the context of Laplace Pyramids, and develop specific resampling filters that outperform previous state-of-the-art filters in our context. Our filters were first developed and proposed in the course of the ISO/ITU Joint Video Team's Scalable Video Coding (SVC) standardization project.
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Lijie Liu, Trac Tran, and Pankaj Topiwala "A new resampling approach for optimal reconstruction", Proc. SPIE 7443, Applications of Digital Image Processing XXXII, 744310 (2 September 2009);

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