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Reversible Integer-to-Integer Wavelet Transforms With Improved Approximation Properties

Summary: Reversible Integer-to-Integer Wavelet Transforms
With Improved Approximation Properties
Peter W. van Vugt and Michael D. Adams
Dept. of Elec. and Comp. Eng., University of Victoria, Victoria, BC, Canada
Abstract-- Reversible integer-to-integer (ITI) transforms that
approximate linear wavelet transforms have proven extremely
useful in signal coding applications. The coding efficiency achiev-
able with such reversible transforms, however, depends on how
well they approximate their parent linear transforms. In this
paper, a simple but effective method for constructing reversible
ITI wavelet transforms which better approximate their parent
linear transforms is proposed. Furthermore, the transforms
obtained with this new method are shown to have superior
performance for signal coding applications.
Reversible integer-to-integer (ITI) wavelet transforms have
proven to be extremely useful in both lossless and lossy
signal coding applications, finding use in many practical
systems (e.g., the JPEG-2000 codec [1]). Such transforms are
invertible in finite-precision arithmetic (i.e., reversible), map


Source: Adams, Michael D. - Department of Electrical and Computer Engineering, University of Victoria


Collections: Engineering