COMPACTLY SUPPORTED BIDIMENSIONAL WAVELET BASES WITH HEXAGONAL SYMMETRY

被引：47

作者：

COHEN, A

SCHLENKER, JM

机构：

[1] UNIV PARIS 09,CEREMADE,F-75016 PARIS,FRANCE

[2] ECOLE POLYTECH,CTR MATH,F-91128 PALAISEAU,FRANCE

来源：

CONSTRUCTIVE APPROXIMATION | 1993年 / 9卷 / 2-3期

关键词：

COURANT INTERPOLATING FUNCTION; LINEAR SPLINES; HEXAGONAL FILTER BANKS; BIORTHOGONAL WAVELETS; MULTIRESOLUTION ANALYSIS;

D O I：

10.1007/BF01198004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a class of subband coding schemes allowing perfect reconstruction for a bidimensional signal sampled on the hexagonal grid. From these schemes we construct biorthogonal wavelet bases of L2(R2) which are compactly supported and such that the sets of generating functions psi1, psi2, psi3 for the synthesis and psi1, psi2, psi3 for the analysis, as well as the scaling functions phi and phi, are globally invariant by a rotation of 2pi/3. We focus on the particular case of linear splines and we discuss how to obtain a higher regularity. We finally present the possibilities of sharp angular frequency resolution provided by these new bases.

引用

页码：209 / 236

页数：28