Nonseparable symmetric wavelets with short support

被引：10

作者：

Lai, MJ ^{[1
]}

Roach, DW ^{[1
]}

机构：

[1] Univ Georgia, Dept Math, Athens, GA 30602 USA

来源：

WAVELET APPLICATIONS IN SIGNAL AND IMAGE PROCESSING VII | 1999年 / 3813卷

关键词：

scaling function; wavelet; bivariate; orthonormal; symmetric; linear-phase; trigonometric polynomial; nonseparable; tenser-product;

D O I：

10.1117/12.366774

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In the following, we give the complete solution of all bivariate symmetric orthonormal scaling functions with filter size up to 6 x 6 using the standard dilation matrix 2I as well as construct a set of associated wavelets. In addition, we give two families of refinable functions which are not orthonormal, but upon using the same completion technique appear to form tight frames (i.e. they preserve the norm) at least experimentally.

引用

页码：132 / 146

页数：5

共 13 条

[1]

[Anonymous], 1993, Ten Lectures of Wavelets

[2]

ANTONINI M, 1994, ADV IMAGE COMMUNICAT, V5, P65

[3] Arbitrarily smooth orthogonal nonseparable wavelets in R2 [J].