An analysis of two variational models for speckle reduction of ultrasound images

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• 作者：Zheng-meng Jin ; Xiao-ping Yang
• 关键词：BV ; Γ ; convergence ; equivalence ; multiplicative noise ; Split Bregman algorithm
• 刊名：Acta Mathematicae Applicatae Sinica, English Series
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：32
• 期：4
• 页码：969-982
• 全文大小：517 KB
• 刊物主题：Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics;
• 出版者：Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
• ISSN：1618-3932
• 卷排序：32

文摘

In this paper, we consider two variational models for speckle reduction of ultrasound images. By employing the G-convergence argument we show that the solution of the SO model coincides with the minimizer of the JY model. Furthermore, we incorporate the split Bregman technique to propose a fast alterative algorithm to solve the JY model. Some numerical experiments are presented to illustrate the efficiency of the proposed algorithm.