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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 10 — Oct. 1, 2006
  • pp: 2449–2461

Image denoising using the ridgelet bi-frame

Shan Tan and Licheng Jiao  »View Author Affiliations


JOSA A, Vol. 23, Issue 10, pp. 2449-2461 (2006)
http://dx.doi.org/10.1364/JOSAA.23.002449


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Abstract

We are concerned with the performance evaluation of the ridgelet bi-frame for image denoising application. The ridgelet bi-frame is a new (as far as we know) bi-frame system that can efficiently deal with straight singularities in two dimensions. We show that, for images dominated by straight edges, the ridgelet bi-frame can obtain much better restoration results than wavelet systems. We also investigate the statistical properties of the ridgelet bi-frame coefficients of these images. Results indicate that the marginal distribution of ridgelet bi-frame coefficients has higher kurtosis than that of wavelet coefficients of the same images. We describe a simple method through which statistical denoising algorithms previously developed in the wavelet domain can be conveniently introduced into the ridgelet bi-frame domain. In addition, we use the ridgelet bi-frame to construct another new bi-frame system referred to as the curvelet bi-frame, which can be viewed as a generalized version of the curvelet. Experiment results show that the simple hard-threshold procedure in the curvelet bi-frame domain produces restoration results comparable with those due to the state-of-the-art denoising methods.

© 2006 Optical Society of America

OCIS Codes
(100.0100) Image processing : Image processing
(100.7410) Image processing : Wavelets

ToC Category:
Image Processing

History
Original Manuscript: August 9, 2005
Revised Manuscript: January 17, 2006
Manuscript Accepted: April 4, 2006

Citation
Shan Tan and Licheng Jiao, "Image denoising using the ridgelet bi-frame," J. Opt. Soc. Am. A 23, 2449-2461 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-10-2449


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