Waldemar Rakowski

Wavelet Compression of Digital Images

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Abstract

The report presents the hierarchical wavelet decomposition of 2D signals representing digital images and its applications to image compression. Wavelet compression enables to get very high compression ratio at acceptable level of image distortions and processing time. This work is a kind of survey including fundamental algorithm of Mallat which implements wavelet decomposition in terms of multiresolution analysis using orthonormal bases. It also includes later results on biorthogonal filters designed independently by Daubechies and Vetterli. Descriptions of wavelet based coders for images are given and their properties are discussed.