Filter design for directional multiresolution decomposition

Arthur L. Cunha, Minh N Do

Research output: Contribution to journalConference article

Abstract

In this paper we discuss recent developments on design tools and methods for multidimensional filter banks in the context of directional multiresolution representations. Due to the inherent non-separability of the filters and the lack of multi-dimensional factorization tools, one generally has to overcome factorization by indirect methods. One such method is the mapping technique. 1-3 In the context of contourlets we review methods for designing filters with directional vanishing moments (DVM). The DVM property is crucial in guaranteeing the non-linear approximation efficacy of contourlets. Our approach allows for easy design of two-channel linear-phase filter banks with DVM of any order. Next we study the design via mapping of nonsubsampled filter banks. Our methodology allows for a fast implementation through ladder steps. The proposed design is then used to construct the nonsubsampled contourlet transform which is particularly efficiently in image denoising, as experiments in this paper show.

Original languageEnglish (US)
Article number59140V
Pages (from-to)1-10
Number of pages10
JournalProceedings of SPIE - The International Society for Optical Engineering
Volume5914
DOIs
StatePublished - Dec 1 2005
EventWavelets XI - San Diego, CA, United States
Duration: Jul 31 2005Aug 3 2005

Keywords

  • Contourlets
  • Multidimensional Filter Banks
  • Nonlinear Approximation

ASJC Scopus subject areas

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

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