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Colton, D. and Monk, P. (1985) A Novel Method for Solving the Inverse Scattering Problem for Time-Harmonic Waves in the Resonance Region. SIAM Journal on Applied Mathematics, 45, 1039C1053.
https://doi.org/10.1137/0145064

has been cited by the following article:

• 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.