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

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.