An Alternative to Tikhonov Regularization for Linear Sampling Methods

被引：0
|
作者：
K. Kim
K. H. Leem
G. Pelekanos
机构：
[1] Yeungnam University,Department of Mathematics
[2] Southern Illinois University,Department of Mathematics and Statistics
来源：
Acta Applicandae Mathematicae | 2010年 / 112卷
关键词：
Factorization method; Tikhonov regularization; Profile reconstruction; Inverse scattering;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The problem of determining the shape of an obstacle from far-field measurements is considered. It is well known that linear sampling methods have been widely used for shape reconstructions obtained via the singular system of an ill conditioned discretized far-field operator. For our reconstructions we assume that the far-field data are noisy and we employ a novel regularization method that does not require determination of a regularization parameter.
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页码：171 / 180
页数：9
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