THE LINEAR SAMPLING METHOD REVISITED

被引：53

作者：

Arens, Tilo ^{[1
]}

Lechleiter, Armin ^{[2
]}

机构：

[1] Univ Karlsruhe, Inst Algebra & Geometrie, D-76128 Karlsruhe, Germany

[2] CMAP Ecole Polytech Route Saclay, INRIA Saclay Ile France, DeFI, F-91128 Palaiseau, France

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2009年 / 21卷 / 02期

关键词：

D O I：

10.1216/JIE-2009-21-2-179

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with convergence results for the Linear Sampling method, a method in inverse scattering theory characterizing an unknown obstacle directly through an indicator function computed from the data. Three seperate but related results are shown. Firstly, sufficient conditions are formulated for the choice of the regularization parameter that guarantee that the method converges in the presence of noise for a sampling point inside the obstacle. Secondly, a new, very strong connection to the related Factorization method is proved. Thirdly, for the first time the behaviour of the indicator function for sampling points outside the obstacle is adequately explained.

引用

页码：179 / 202

页数：24

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