An EntropyBased Estimation of Noise Variance in Wavelet Domain

doi:10.13190/jbupt.201105.1.lity

JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM ›› 2011, Vol. 34 ›› Issue (5): 1-5.doi: 10.13190/jbupt.201105.1.lity

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An EntropyBased Estimation of Noise Variance in Wavelet Domain

Received:2010-12-22 Revised:2011-02-08 Online:2011-10-28 Published:2011-08-26

Abstract

Abstract:

A new approach with entropy inspection in wavelet domain is proposed for estimation of the variance of Gaussian noise in images. With advantage of wavelet transform, the entropy of image signal degrades notably with the Gaussian noise entropy unchanging. It denotes that the noise entropy value varies with the noise levels in manner of logarithm. The relation between the entropy values of the noisy image wavelet coefficients and the noise levels is traversed in quantitative form. A formula is given to depict this functional relation. Experiment indicates that such a relation is robust to images. A noise estimation is thus made with the entropy inspection of the noisy image in wavelet domain and the established formula as apriori knowledge. Meanwhile, a simulation shows that the proposed approach can achieve more exact value while little influenced by image details.

Key words: wavelet transform, entropy, Gaussian noise, variance estimation

References

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An EntropyBased Estimation of Noise Variance in Wavelet Domain

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