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  • Research Article
  • Open Access

Implementational Aspects of the Contourlet Filter Bank and Application in Image Coding

  • 1Email author,
  • 2,
  • 1 and
  • 2
EURASIP Journal on Advances in Signal Processing20082008:373487

  • Received: 29 March 2008
  • Accepted: 10 October 2008
  • Published:


This paper analyzed the implementational aspects of the contourlet filter bank (or the pyramidal directional filter bank (PDFB)), and considered its application in image coding. First, details of the binary tree-structured directional filter bank (DFB) are presented, including a modification to minimize the phase delay factor and necessary steps for handling rectangular images. The PDFB is viewed as an overcomplete filter bank, and the directional filters are expressed in terms of polyphase components of the pyramidal filter bank and the conventional DFB. The aliasing effect of the conventional DFB and the Laplacian pyramid to the directional filters is then considered, and the conditions for reducing this effect are presented. The new filters obtained by redesigning the PDFBs satisfying these requirements have much better frequency responses. A hybrid multiscale filter bank consisting of the PDFB at higher scales and the traditional maximally decimated wavelet filter bank at lower scales is constructed to provide a sparse image representation. A novel embedded image coding system based on the image decomposition and a morphological dilation algorithm is then presented. The coding algorithm efficiently clusters the significant coefficients using progressive morphological operations. Context models for arithmetic coding are designed to exploit the intraband dependency and the correlation existing among the neighboring directional subbands. Experimental results show that the proposed coding algorithm outperforms the current state-of-the-art wavelet-based coders, such as JPEG2000, for images with directional features.


  • Filter Bank
  • Image Code
  • Arithmetic Code
  • Laplacian Pyramid
  • Directional Filter

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Authors’ Affiliations

Geophysical Research Center, Paris School of Mines, 35 Rue Saint-Honoré, 77305 Fontainebleau, France
Department of Electrical Engineering, University of Texas at Arlington, 416 Yates St. Arlington, Texas, 76019, USA


© Truong T. Nguyen et al. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.