An M-channel directional filter bank compatible with the contourlet and shearlet frequency tiling

Glenn R. Easley, Vishai Patel, Dennis M. Healy

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

7 Scopus citations

Abstract

In this work, we present new methods for creating M-channel directional filters to construct multiresolution and multidirectional orthogonal/ biorthogonal transforms. A key feature of these methods is the ability to solve the polynomial Bezout equation in higher dimensions by taking advantage of solutions that have been proposed for solving a related equation known as the analytic Bezout equation. These new techniques are capable of creating directional filters that yield spatial-frequency tilings equivalent to those of the contourlet and the shearlet transforms. Such directional filter banks can create sparse representations for a large class of images and can be used for various restoration problems, compression schemes, and image enhancements.

Original languageEnglish (US)
Title of host publicationWavelets XII
DOIs
StatePublished - Dec 1 2007
EventWavelets XII - San Diego, CA, United States
Duration: Aug 26 2007Aug 29 2007

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume6701
ISSN (Print)0277-786X

Other

OtherWavelets XII
CountryUnited States
CitySan Diego, CA
Period8/26/078/29/07

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

Keywords

  • Directional filter
  • Multichannel deconvolution
  • Shearlet
  • Wavelet

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