数学
统计
采样(信号处理)
应用数学
计算机科学
计算机视觉
滤波器(信号处理)
作者
Tilo Arens,Armin Lechleiter
出处
期刊:Journal of Integral Equations and Applications
[Rocky Mountain Mathematics Consortium]
日期:2009-06-01
卷期号:21 (2)
被引量:84
标识
DOI:10.1216/jie-2009-21-2-179
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.
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