Abstract
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.
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Supported by the National Natural Science Foundation of China under Grants No. 11671004 and 91330101, and Natural Science Foundation for Colleges and Universities in Jiangsu Province under Grants No. 15KJB110018 and 14KJB110020.
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Jin, Zm., Yang, Xp. An analysis of two variational models for speckle reduction of ultrasound images. Acta Math. Appl. Sin. Engl. Ser. 32, 969–982 (2016). https://doi.org/10.1007/s10255-016-0618-1
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DOI: https://doi.org/10.1007/s10255-016-0618-1