Efficient image compression with optimized biorthogonal wavelets

Michael D. Hoffman; Shidong Li

doi:10.1117/12.618262

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16 September 2005 Efficient image compression with optimized biorthogonal wavelets

Michael D. Hoffman; Shidong Li

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Proceedings Volume 5915, Mathematics of Data/Image Coding, Compression, and Encryption VIII, with Applications; 59150J (2005) https://doi.org/10.1117/12.618262
Event: Optics and Photonics 2005, 2005, San Diego, California, United States

Abstract

A new parameterization approach for the construction of biorthogonal wavelets has revealed the possibility of deriving optimized biorthogonal filterbanks. Such a design methodology incorporates various optimization criteria and the regularity requirement into a single procedure while maintaining the usual perfect reconstruction principle. Because of the parameterization, the additional design procedure becomes fundamentally an unconstrained optimization problem. The method provides examples of new biorthogonal dual filters of slightly shorter length with comparable performance characteristics to that of traditional biorthogonal dual filters of longer length. Image coding using such new filterbanks becomes more efficient while maintaining similar quality. Preliminary studies in image coding will be reported in the presentation.

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Michael D. Hoffman and Shidong Li "Efficient image compression with optimized biorthogonal wavelets", Proc. SPIE 5915, Mathematics of Data/Image Coding, Compression, and Encryption VIII, with Applications, 59150J (16 September 2005); https://doi.org/10.1117/12.618262

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