A.P.Petukhov

Biorthogonal wavelet bases with rational masks and their application

petukhov@pdmi.ras.ru

General principles of a construction of biorthogonal wavelet bases, associated
with recursive filters, are considered. Fast algorithms of expansion of
functions in these bases, including, algorithms, which are based on
factorizations of polyphase matrices, are presented. Results of numerical
simulation of image compression algorithms, based on expansion of images in the
offered basis, are given. They allow to make a conclusion about high
effectiveness of the offered algorithms from a point of view of computational
complexity as well as from a point of view of value of the compression factors.