Lossless image compression using wavelets over finite rings and related architectures

Andreas Klappenecker; Frank U. May; Armin Nueckel

doi:10.1117/12.279685

30 October 1997 Lossless image compression using wavelets over finite rings and related architectures

Andreas Klappenecker, Frank U. May, Armin Nueckel

Proceedings Volume 3169, Wavelet Applications in Signal and Image Processing V; (1997) https://doi.org/10.1117/12.279685
Event: Optical Science, Engineering and Instrumentation '97, 1997, San Diego, CA, United States

Abstract

In this paper we give a brief introduction to filter banks over commutative rings. In contrast to filter banks over the real numbers, we employ finite ring arithmetic to control the number of bits in the signal representations. This way we avoid the coefficient swell problem that is preeminent in rings of characteristic zero. We derive decompositions for images that are tailored to dedicated hardware implementations. These decompositions reduce the size of line-buffers which dominate the silicon area in integrated circuit implementations. As an application, we derive a lossless compression scheme for 8 bit monochrome images using wavelet filters with values in the ring Z/256Z.

Citation Download Citation

Andreas Klappenecker, Frank U. May, and Armin Nueckel "Lossless image compression using wavelets over finite rings and related architectures", Proc. SPIE 3169, Wavelet Applications in Signal and Image Processing V, (30 October 1997); https://doi.org/10.1117/12.279685

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