Comparisons between Isotropic and Anisotropic TV Regularizations in Inverse Acoustic Scattering  

作　　者：Ping Liu Ping Liu(School of Mathematics and Statistics, Shandong Normal University, Jinan, China)

机构地区：[1]School of Mathematics and Statistics, Shandong Normal University, Jinan, China

出　　处：《Engineering（科研）》2023年第2期106-113,共8页工程（英文）（1947-3931）

摘　　要：This article compares the isotropic and anisotropic TV regularizations used in inverse acoustic scattering. It is observed that compared with the traditional Tikhonov regularization, isotropic and anisotropic TV regularizations perform better in the sense of edge preserving. While anisotropic TV regularization will cause distortions along axes. To minimize the energy function with isotropic and anisotropic regularization terms, we use split Bregman scheme. We do several 2D numerical experiments to validate the above arguments.This article compares the isotropic and anisotropic TV regularizations used in inverse acoustic scattering. It is observed that compared with the traditional Tikhonov regularization, isotropic and anisotropic TV regularizations perform better in the sense of edge preserving. While anisotropic TV regularization will cause distortions along axes. To minimize the energy function with isotropic and anisotropic regularization terms, we use split Bregman scheme. We do several 2D numerical experiments to validate the above arguments.

关 键 词：Inverse Acoustic Scattering Problem REGULARIZATION Isotropic TV Anisotropic TV ILL-POSEDNESS 

分 类 号：O17[理学—数学]