An effective algorithm for noise variance estimation in shearlet domain

Yufeng Xu; Huiqin Jiang; Ling Ma; Yumin Liu; Xiaopeng Yang

doi:10.1117/12.2244952

29 August 2016 An effective algorithm for noise variance estimation in shearlet domain

Yufeng Xu, Huiqin Jiang, Ling Ma, Yumin Liu, Xiaopeng Yang

Proceedings Volume 10033, Eighth International Conference on Digital Image Processing (ICDIP 2016); 100331R (2016) https://doi.org/10.1117/12.2244952
Event: Eighth International Conference on Digital Image Processing (ICDIP 2016), 2016, Chengu, China

Abstract

The de-noising effect of many methods depends on the accuracy of the noise variance estimation. In this paper, we propose an effective algorithm for the noise variance estimation in shearlet domain. Firstly, the noisy image is decomposed into the low-frequency sub-band coefficients and multi-directional high-frequency sub-band coefficients based on the shearlet transform. Secondly, based on the high-frequency sub-band coefficients, the value of the noise variance is estimated using the Median Absolute Deviation (MAD) method. Thirdly, we choose some variance candidates in the neighborhood of the estimated value, and calculate the Residual Autocorrelation Power (RAP) of every variance candidate based on the Bayesian maximum a posteriori estimation (MAP) method. Finally, the accuracy of the noise variance estimation is improved using the residual autocorrelation power. A range of experiments demonstrate that the proposed method outperforms the traditional MAD method. The accuracy of the noise variance estimation has increased by 91.2% compared with the MAD method.

Citation Download Citation

Yufeng Xu, Huiqin Jiang, Ling Ma, Yumin Liu, and Xiaopeng Yang "An effective algorithm for noise variance estimation in shearlet domain", Proc. SPIE 10033, Eighth International Conference on Digital Image Processing (ICDIP 2016), 100331R (29 August 2016); https://doi.org/10.1117/12.2244952

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KEYWORDS

Computed tomography

Image quality

Bandpass filters

Digital image processing

Medical research

Visualization

Wavelet transforms

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