Multiplicative Noise Removal with Spatially Varying Regularization Parameters

The Aubert-Aujol (AA) model is a variational method for multiplicative noise removal. In this paper, we study some basic properties of the regularization parameter in the AA model. We develop a method for automatically choosing the regularization parameter in the multiplicative noise removal process. In particular, we employ spatially varying regularization parameters in the AA model in order to restore more texture details of the denoised image. Experimental results are presented to demonstrate that the spatially varying regularization parameters method can obtain better denoised images than the other tested multiplicative noise removal methods.

[1]  Fabrizio Argenti,et al.  Speckle Suppression in Ultrasonic Images Based on Undecimated Wavelets , 2003, EURASIP J. Adv. Signal Process..

[2]  Bernard Rougé,et al.  TV Based Image Restoration with Local Constraints , 2003, J. Sci. Comput..

[3]  Andrés Almansa,et al.  A TV Based Restoration Model with Local Constraints , 2008, J. Sci. Comput..

[4]  Michael K. Ng,et al.  A New Total Variation Method for Multiplicative Noise Removal , 2009, SIAM J. Imaging Sci..

[5]  R. F. Wagner,et al.  Statistics of Speckle in Ultrasound B-Scans , 1983, IEEE Transactions on Sonics and Ultrasonics.

[6]  Mohamed-Jalal Fadili,et al.  Multiplicative Noise Cleaning via a Variational Method Involving Curvelet Coefficients , 2009, SSVM.

[7]  L. Rudin,et al.  Nonlinear total variation based noise removal algorithms , 1992 .

[8]  Jianing Shi,et al.  A Nonlinear Inverse Scale Space Method for a Convex Multiplicative Noise Model , 2008, SIAM J. Imaging Sci..

[9]  Jayaram K. Udupa,et al.  Interaction between noise suppression and inhomogeneity correction in MRI , 2003, SPIE Medical Imaging.

[10]  Gilles Aubert,et al.  A Variational Approach to Removing Multiplicative Noise , 2008, SIAM J. Appl. Math..

[11]  Stanley Osher,et al.  Multiplicative Denoising and Deblurring: Theory and Algorithms , 2003 .

[12]  M Tur,et al.  When is speckle noise multiplicative? , 1982, Applied optics.

[13]  Yehoshua Y. Zeevi,et al.  Variational denoising of partly textured images by spatially varying constraints , 2006, IEEE Transactions on Image Processing.