Construction of High Performance Balanced Symmetric Multifilter Banks and Application in Image Processing

Abstract

Multifilter banks having all properties of symmetry, balancing, optimum time-frequency resolution, arbitrary order vanishing moment, orthogonality and  compactly supported together are constructed for the first time. Thus overcome the shortcoming of the present orthogonal optimum time-frequency resolution multifilter banks that have only the properties of symmetry and 2-order vanishing moment but not balanced. Balanced symmetric orthogonal multifilter banks with good regularity and time-frequency resolution are also provided. Due to the excellent properties, application experiments in image denoising and compression showed that, most of our multifilter banks outperform the best tools known as multiwavelet SA4 and wavelet CDF9-7 in denoising with texture image and smooth image. They also outperform multiwavelet SA4 or approximate wavelet DB4 in compression with texture image.