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 Dec 1
Event45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011 - Pacific Grove, CA, United States
Duration: 2011 Nov 62011 Nov 9

Other

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

Fingerprint

Tensors

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Computer Networks and Communications

Cite this

Hur, Y., & Zheng, F. (2011). Designing thin wavelet filters. In Conference Record of the 45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011 (pp. 2019-2024). [6190380] https://doi.org/10.1109/ACSSC.2011.6190380
Hur, Youngmi ; Zheng, Fang. / Designing thin wavelet filters. Conference Record of the 45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011. 2011. pp. 2019-2024
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Hur, Y & Zheng, F 2011, Designing thin wavelet filters. in Conference Record of the 45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011., 6190380, pp. 2019-2024, 45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011, Pacific Grove, CA, United States, 11/11/6. https://doi.org/10.1109/ACSSC.2011.6190380

Designing thin wavelet filters. / Hur, Youngmi; Zheng, Fang.

Conference Record of the 45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011. 2011. p. 2019-2024 6190380.

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

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AB - 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.

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Hur Y, Zheng F. Designing thin wavelet filters. In Conference Record of the 45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011. 2011. p. 2019-2024. 6190380 https://doi.org/10.1109/ACSSC.2011.6190380