¹Research Center of Systems Theory and Applications, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
²College of Computer Science and Technology,Chongqing University of Posts and Telecommunications, Chongqing 400065, China
³College of Mathematics, Sichuan University, Chengdu 610064, China

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Abstract—In this paper, a novel variational model with strict convexity for removing multiplicative noise from images is proposed and studied. Firstly, by applying maximum likelihood estimation method and the Bayesian formulation, the variational model is derived. Then, we use an alternating minimization algorithm to find out the minimizer of the objective function, and prove the existence of the minimizer for the underlying variational problem in theory. Finally, Our experimental results show that the quality of images denoised by the proposed method is quite good, and the proposed model is superior to the existing key models in preventing the images from stair-casing, and in restoring more texture details of the denoised image.

Index Terms—Image Denosing, Multiplicative Noise, Partial Differential Equation, Convex Function,Variational method

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Cite: Xuegang Hu, Yuefang Lou, Tianqiao Hu, "A Novel Variational Model with Strict Convexity for Multiplicative Noise Removal," Journal of Computers vol. 9, no. 3, pp. 626-635, 2014.