数学
反问题
反演(地质)
正规化(语言学)
简单(哲学)
继续
应用数学
反向
逆散射问题
牙石(牙科)
数学分析
算法
几何学
计算机科学
人工智能
医学
古生物学
哲学
牙科
认识论
构造盆地
生物
程序设计语言
作者
David Colton,Michele Piana,Roland Potthast
出处
期刊:Inverse Problems
[IOP Publishing]
日期:1997-12-01
卷期号:13 (6): 1477-1493
被引量:292
标识
DOI:10.1088/0266-5611/13/6/005
摘要
This paper is a continuation of earlier research in which a simple inversion scheme was given for inverse scattering problems in the resonance region which is easy to implement and is relatively independent of the geometry and physical properties of the scatterer. The purpose of the paper is to give new and improved theorems establishing the mathematical basis of this method and to show how noisy data can be treated using Morozov's discrepancy principle where the regularization parameter is a function of an auxiliary parameter appearing in the inversion scheme.
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