Proceedings of the 2012 International Conference on Computer Application and System Modeling (ICCASM 2012)

A Spatially Adaptive Denoising Algorithm Based on Curvelet Transform

Authors
Peng Feng, Feng Yang, Biao Wei, Deling Mi
Corresponding Author
Peng Feng
Available Online August 2012.
DOI
10.2991/iccasm.2012.174How to use a DOI?
Keywords
Curvelet Transform, image denoising, Multiscale Geometric Analysis(MGA), CurShrink
Abstract

A new approach for image denoising based on the Curvelet transform is presented in this paper. The existing theory for Curvelet and Ridgelet suggests that these new approaches can outperform wavelet method in certain image processing including image denoising, edge detection and image enhancement. However in original digital Curvelet transform it uses a simple hard-thresholding rule for filtering the noisy Curvelet coefficient which of course causes some problems such as killing too many signal Curvelet coefficients that might contain useful image information. Here we introduce BayesShrink denoising scheme into Curvelet domain that is an adaptive, data-driven thresholding approach for image denoising, namely CurShrink. The threshold is derived in a Bayesian framework, and the prior used on the Curvelet coefficients is the generalized Gaussian distribution (GGD) widely used in image processing applications. The approach is valid because Curvelet transform produce correlated Curvelet coefficients, along the edge or curve of the image; the large Curvelet coefficients maybe have large Curvelet coefficients as it neighbors. Experimental results show that the proposed method is better than hard-thresholding denoising scheme in wavelet and curvelet domain.

Copyright
© 2012, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2012 International Conference on Computer Application and System Modeling (ICCASM 2012)
Series
Advances in Intelligent Systems Research
Publication Date
August 2012
ISBN
10.2991/iccasm.2012.174
ISSN
1951-6851
DOI
10.2991/iccasm.2012.174How to use a DOI?
Copyright
© 2012, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Peng Feng
AU  - Feng Yang
AU  - Biao Wei
AU  - Deling Mi
PY  - 2012/08
DA  - 2012/08
TI  - A Spatially Adaptive Denoising Algorithm Based on Curvelet Transform
BT  - Proceedings of the 2012 International Conference on Computer Application and System Modeling (ICCASM 2012)
PB  - Atlantis Press
SP  - 685
EP  - 689
SN  - 1951-6851
UR  - https://doi.org/10.2991/iccasm.2012.174
DO  - 10.2991/iccasm.2012.174
ID  - Feng2012/08
ER  -