An Improved N-Bit to N-Bit Reversible Haar-Like Transform

Authors:
Joshua G. Senecal;Peter Lindstrom;Mark A. Duchaineau;Kenneth I. Joy
Affiliations:
Lawrence Livermore National Laboratory;Lawrence Livermore National Laboratory;Lawrence Livermore National Laboratory;University of California, Davis
Venue:
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
Year:
2004

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Abstract

We introduce the Piecewise-Linear Haar (PLHaar) transform, a reversible n-bit to n-bit transform that is based on the Haar wavelet transform. PLHaar is continuous, while all current n-bit to n-bit methods are not, and is therefore uniquely usable with both lossy and lossless methods (e.g. image compression). PLHaar has both integer and continuous (i.e. non-discrete) forms. By keeping the coefficients to n bits PLHaar is particularly suited for use in hardware environments where channel width is limited, such as digital video channels and graphics hardware.