数学物理学报(英文版) ›› 2005, Vol. 25 ›› Issue (2): 233-242.

• 论文 • 上一篇    下一篇

CONSTRUCTION OF COMPACTLY SUPPORTED BIVARIATE ORTHOGONAL WAVELETS BY UNIVARIATE ORTHOGONAL WAVELETS

杨建伟,李落清,唐远炎   

  1. Department of Computer Science, Hong Kong Baptist University, Kowloon Tong, Hong Kong;
    Henan Institute of Finance and Economics,Department of Mathematics, Hubei University;Department of Computer Science, Hong Kong Baptist University,
  • 出版日期:2005-04-20 发布日期:2005-04-20
  • 基金资助:

    This research was partially supported by National Natural Science Foundation of China (10371033; 60403011).

CONSTRUCTION OF COMPACTLY SUPPORTED BIVARIATE ORTHOGONAL WAVELETS BY UNIVARIATE ORTHOGONAL WAVELETS

 YANG Jian-Wei, LI La-Qing, TANG Yuan-Tan   

  • Online:2005-04-20 Published:2005-04-20
  • Supported by:

    This research was partially supported by National Natural Science Foundation of China (10371033; 60403011).

摘要:

After some permutation of conjugate quadrature filter, new conjugate quadra-
ture filters can be derived. In terms of this permutation, an approach is developed for
constructing compactly supported bivariate orthogonal wavelets from univariate orthog-
onal wavelets. Non-separable orthogonal wavelets can be achieved. To demonstrate this
method, an example is given.

Abstract:

After some permutation of conjugate quadrature filter, new conjugate quadra-
ture filters can be derived. In terms of this permutation, an approach is developed for
constructing compactly supported bivariate orthogonal wavelets from univariate orthog-
onal wavelets. Non-separable orthogonal wavelets can be achieved. To demonstrate this
method, an example is given.

Key words: Permutation, non-separable wavelets;conjugate quadrature filter

中图分类号: 

  • 42C15