A Variational Model to Remove the Multiplicative Noise in Ultrasound Images

Authors:
Zhengmeng Jin;Xiaoping Yang
Affiliations:
School of Science, Nanjing University of Posts and Telecommunications, Nanjing, P.R. China 210046 and School of Science, Nanjing University of Science and Technology, Nanjing, P.R. China 210094;School of Science, Nanjing University of Science and Technology, Nanjing, P.R. China 210094
Venue:
Journal of Mathematical Imaging and Vision
Year:
2011

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Abstract

In this paper we study a variational model to deal with the speckle noise in ultrasound images. We prove the existence and uniqueness of the minimizer for the variational problem, and derive the existence and uniqueness of weak solutions for the associated evolution equation. Furthermore, we show that the solution of the evolution equation converges weakly in BV and strongly in L 2 to the minimizer as t驴驴. Finally, some numerical results illustrate the effectiveness of the proposed model for multiplicative noise removal.