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Comparisons between Isotropic and Anisotropic TV Regularizations in Inverse Acoustic Scattering
School of Mathematics and Statistics, Shandong Normal University, Jinan, China
- 1 School of Mathematics and Statistics, Shandong Normal University, Jinan, China
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Abstract
This article compares the isotropic and anisotropic TV regularizations used in inverse acoustic scattering. It is observed that compar ed 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.
KeywordsInverse Acoustic Scattering ProblemRegularizationIsotropic TVAnisotropic TVIll-Posedness
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