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Discrete directional wavelet bases for image compression

  • Pier Luigi Dragotti(corresponding author)
    ,
  • Vladan Velisavljević
    ,
  • Martin Vetterli
    ,
  • Baltasar Beferull-Lozano
*Corresponding author for this work
  • Imperial College London
    ,
  • Swiss Federal Institute of Technology Lausanne
    ,
  • University of California at Berkeley
Research Output:
Chapter in Book/Report/Conference proceeding
Conference contribution
 Peer-review

Abstract

The application of the wavelet transform in image processing is most frequently based on a separable construction. Lines and columns in an image are treated independently and the basis functions are simply products of the corresponding one dimensional functions. Such method keeps simplicity in design and computation, but is not capable of capturing properly all the properties of an image. In this paper, a new truly separable discrete multi-directional transform is proposed with a subsampling method based on lattice theory. Alternatively, the subsampling can be omitted and this leads to a multi-directional frame. This transform can be applied in many areas like denoising, non-linear approximation and compression. The results on non-linear approximation and denoising show very interesting gains compared to the standard two-dimensional analysis.

Publication Information

Output type

Research Output:
Chapter in Book/Report/Conference proceeding
Conference contribution
 Peer-review

Original language

English

Pages from-to (Number of pages)

Pages 1287-1295 (9 pages)

Publication milestones

  • Published - 23/06/2003

Publication status

Published - 23/06/2003

Volume

5150 II

Publisher

SPIE, United States

Publication series

  • Publisher name: SPIE
    Publication series name: Proceedings of SPIE - The International Society for Optical Engineering
    ISSN (Print): 0277-786X

ISBN (Print)

9780819450234

ISBN (Electronic)

9780819450234

Publication IDs

  • handle.net: 10547/293146
  • Scopus: 0141719471

Host publication title

Proceedings Volume 5150, Visual Communications and Image Processing 2003; (2003) https://doi.org/10.1117/12.509905

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