Generalized Wavelet Decompositions in Image Compression : ArbitrarySubbands

New methods for lossy image compression based on generalized wavelet decompositions have been introduced recently. Unlike in the classical wavelet decomposition scheme it is possible to use diierent scaling and wavelet functions at every scale by using non-stationary multiresolution analyses. This freedom in using diierent functions can be exploited for adaptive compression techniques. In this paper we extend this approach to arbitrary subbands (e.g. in a wavelet packet scheme), combine it with the best basis algorithm, and we introduce eecient techniques for using these algorithms on parallel computers.