Designing thin wavelet filters

Youngmi Hur, Fang Zheng

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In this paper we design thin n-D wavelet filters. Our wavelet filters are thin in the sense that each filter is essentially a 1-D filter, which is supported on a straight line. We first use the coset sum, a recently developed alternative to the tensor product, in order to obtain thin n-D wavelet filters that can capture directional information in 2 n - 1 different directions. Furthermore the choice of directions is quite flexible, and it can be made so that there is no strong directional bias along lines parallel to the coordinate direction. One limitation of thin n-D wavelet filters constructed by the coset sum method is that they can capture only 2 n - 1 directions. In order to overcome this limitation we discuss how to generalize the coset sum method so that thin n-D Haar wavelet filters with more than 2 n - 1 directions can be obtained.

Original languageEnglish
Title of host publicationConference Record of the 45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011
Pages2019-2024
Number of pages6
DOIs
Publication statusPublished - 2011
Event45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011 - Pacific Grove, CA, United States
Duration: 2011 Nov 62011 Nov 9

Publication series

NameConference Record - Asilomar Conference on Signals, Systems and Computers
ISSN (Print)1058-6393

Other

Other45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011
CountryUnited States
CityPacific Grove, CA
Period11/11/611/11/9

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Computer Networks and Communications

Fingerprint Dive into the research topics of 'Designing thin wavelet filters'. Together they form a unique fingerprint.

Cite this