マルチウェーブレットの構造及び設計

概要

論文の詳細を見る
A multiwavelet with multiplicity r > 1 consists of r scaling functions and r wavelet functions. These functions can be generated by a lowpass multifilter and a highpass multifilter, whose coefficients are given by r × r matrices. This paper describes an efficient structure and design for symmetric orthogonal and biorthogonal multiwavelets. Factorizing the polyphase matrix of orthogonal and biorthogonal multiwavelets into elementary low-order building blocks, we introduce a systematic construction technique based on the lattice structure with rotation matrices. We then present a transformation of the tree-structured multiwavelet system into the equivalent scalar filter bank in order to design multifilter banks. Finally we show the potential of multiwavelets to improve the performance or the quality in image coding applications.