Construction of biorthogonal two-direction refinable function and two-direction wavelet with dilation factor m

Authors:
Changzhen Xie
Affiliations:
Department of Mathematics, Shantou University, Shantou 515063, PR China
Venue:
Computers & Mathematics with Applications
Year:
2008

Citing 4
Cited 0

Two-scale difference equations I: existence and global regularity of solutions

SIAM Journal on Mathematical Analysis
Two-scale difference equations II. local regularity, infinite products of matrices and fractals

SIAM Journal on Mathematical Analysis
Fractal functions and wavelet expansions based on several scaling functions

Journal of Approximation Theory
From wavelets to multiwavelets

Proceedings of the international conference on Mathematical methods for curves and surfaces II Lillehammer, 1997

Quantified Score

Hi-index	0.09

Visualization

Abstract

An algorithm for constructing a pair of biorthogonal two-direction refinable function and the corresponding biorthogonal two-direction wavelet is presented. In particular, the algorithm can also be used to construct two-direction orthogonal refinable function. Finally, we give an example illustrating how to use our method to construct biorthogonal two-direction scaling function with dilation factor 3.