STOCHASTIC PROJECTION METHODS FOR SOLVING INVERSE PROBLEMS OF PHASE RETRIEVING AND X-RAY DIFFRACTION ANALYSIS

被引：0
|
作者：
Sabelfeld, K. K. [1 ,2 ]
机构：
[1] Inst Computat Math & Math Geophys, Lavrentiev Pr 6, Novosibirsk 630090, Russia
[2] NSU, Novosibirsk, Russia
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2015年 / 12卷
基金：
俄罗斯科学基金会;
关键词：
stochastic projections; Kaczmarz row projections; random row sampling; phase retrieving; x-ray diffraction; epitaxy layers;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We suggest a stochastic simulation techniques for solving the inverse problem of recovering the phase of a complex-valued function provided its absolute value is known, under some additional information, and apply this method for retrieving the step structure of the epitaxial films from the x-ray diffraction analysis. To solve these problems we develop a new stochastic version of the Kaczmarz method with a new strategy of row sampling, and present some comparative simulations with a stochastic genetic algorithm and a simple version of a randomized projections method.
引用
收藏
页码：C123 / C128
页数：6
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