TITLE:
Comparisons between Isotropic and Anisotropic TV Regularizations in Inverse Acoustic Scattering
AUTHORS:
Ping Liu
KEYWORDS:
Inverse Acoustic Scattering Problem, Regularization, Isotropic TV, Anisotropic TV, Ill-Posedness
JOURNAL NAME:
Engineering,
Vol.15 No.2,
February
23,
2023
ABSTRACT: 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.