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Discrete directional wavelet bases and frames: analysis and applications

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 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

Publication milestones

  • Published - 13/11/2003

Publication status

Published - 13/11/2003

Publisher

SPIE, United States

ISBN (Print)

9780819450807

ISBN (Electronic)

9780819450807

External Publication IDs

  • handle.net: 10547/293129
  • Scopus: 1242330955

Host publication title

nan

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