A new flexible bi-orthogonal filter design for multiresolution filterbankswith application to image compression

In this paper, we propose a new fast method with great potential for multir esolution pyramid decomposition of signals and images. The method allows un usual flexibility in choosing a filter for any task involving the multireso lution analysis and synthesis. Using our method, one can choose any low-pas s filter for the multiresolution filtering. This method enabled us to choos e the best filters for set partitioning in hierarchical trees (SPIHT) image compression for the corresponding support sizes. The compression results f or our seven tap filters are better than those of the 9/7 wavelet filters a nd approximately the same as those of the 10/18 filters, while at the same time our seven tap filters are faster than 10/18 filters.