数学物理学报(英文版) ›› 2002, Vol. 22 ›› Issue (1): 131-137.

• 论文 • 上一篇    下一篇

A CLASS OF BIDIMENSIONAL NONSEPARABLE WAVELET PACKETS

 田雄飞, 李云章   

  1. School of Applied Mathematics and Physics, Beijing Polytechnic University, Beijing 100022, China
  • 出版日期:2002-01-14 发布日期:2002-01-14
  • 基金资助:

    Supported by the National Natural Science Foun-dation (19801005), the Youth Foundation of Beijing, the Natural Science Foundation of Beijing (1013005), and the Educational Committee Foundation of Beijing(01KJ-019).

A CLASS OF BIDIMENSIONAL NONSEPARABLE WAVELET PACKETS

 TIAN Xiong-Fei, LI Yun-Zhang   

  1. School of Applied Mathematics and Physics, Beijing Polytechnic University, Beijing 100022, China
  • Online:2002-01-14 Published:2002-01-14
  • Supported by:

    Supported by the National Natural Science Foun-dation (19801005), the Youth Foundation of Beijing, the Natural Science Foundation of Beijing (1013005), and the Educational Committee Foundation of Beijing(01KJ-019).

摘要:

2-band wavelet packets in L2(Rs) were constructed in [3]. In this note, a way to construct bidimensional orthonormal wavelet packets related to  the dilation matrix M =
1 1
1 −1
is obtained. M-wavelets are used in quincunx subsampling in two dimensions for image processing. What is more, the approach of this paper can be generalized to construct wavelet packets in L2(Rs) related to a general diltion matrix.

关键词: Scaling function, wavelet, wavelet packet

Abstract:

2-band wavelet packets in L2(Rs) were constructed in [3]. In this note, a way to construct bidimensional orthonormal wavelet packets related to  the dilation matrix M =
1 1
1 −1
is obtained. M-wavelets are used in quincunx subsampling in two dimensions for image processing. What is more, the approach of this paper can be generalized to construct wavelet packets in L2(Rs) related to a general diltion matrix.

Key words: Scaling function, wavelet, wavelet packet

中图分类号: 

  • 42C15