Spatially adaptive Bayesian wavelet thresholding for speckle removal in medical ultrasound images

Jianhua Hou; Chengyi Xiong; Shaoping Chen; Xiang He

doi:10.1117/12.751131

14 November 2007 Spatially adaptive Bayesian wavelet thresholding for speckle removal in medical ultrasound images

Jianhua Hou, Chengyi Xiong, Shaoping Chen, Xiang He

Proceedings Volume 6789, MIPPR 2007: Medical Imaging, Parallel Processing of Images, and Optimization Techniques; 67891H (2007) https://doi.org/10.1117/12.751131
Event: International Symposium on Multispectral Image Processing and Pattern Recognition, 2007, Wuhan, China

Abstract

In this paper, a novel spatially adaptive wavelet thresholding method based on Bayesian maximum a posteriori (MAP) criterion is proposed for speckle removal in medical ultrasound (US) images. The method firstly performs logarithmical transform to original speckled ultrasound image, followed by redundant wavelet transform. The proposed method uses the Rayleigh distribution for speckle wavelet coefficients and Laplacian distribution for modeling the statistics of wavelet coefficients due to signal. A Bayesian estimator with analytical formula is derived from MAP estimation, and the resulting formula is proven to be equivalent to soft thresholding in nature which makes the algorithm very simple. In order to exploit the correlation among wavelet coefficients, the parameters of Laplacian model are assumed to be spatially correlated and can be computed from the coefficients in a neighboring window, thus making our method spatially adaptive in wavelet domain. Theoretical analysis and simulation experiment results show that this proposed method can effectively suppress speckle noise in medical US images while preserving as much as possible important signal features and details.

Citation Download Citation

Jianhua Hou, Chengyi Xiong, Shaoping Chen, and Xiang He "Spatially adaptive Bayesian wavelet thresholding for speckle removal in medical ultrasound images", Proc. SPIE 6789, MIPPR 2007: Medical Imaging, Parallel Processing of Images, and Optimization Techniques, 67891H (14 November 2007); https://doi.org/10.1117/12.751131

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