APPROXIMATE INVERSION OF OPERATORS OF TWO-DIMENSIONAL VECTOR TOMOGRAPHY

被引：0
|
作者：
Svetov, Ivan Evgenyevich [1 ,2 ]
Maltseva, Svetlana Vasilievna [1 ,2 ,3 ]
Polyakova, Anna Petrovna [1 ,2 ]
机构：
[1] Sobolev Inst Math, Pr Koptyuga,4, Novosibirsk 630090, Russia
[2] Novosibirsk State Univ, St Pirogova,2, Novosibirsk 630090, Russia
[3] Lavrentyev Inst Hydrodynam, Pr Lavrentyeva,15, Novosibirsk 630090, Russia
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2016年 / 13卷
关键词：
vector tomography; method of approximate inverse; longitudinal ray transform; transverse ray transform; Radon transform; solenoidal vector field; potential vector field; potential; numerical simulation;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We propose two approaches for numerical solution of reconstruction problem of a vector field in an unit disk from the known values of longitudinal and transverse ray transforms. The algorithms are based on the method of approximate inverse. Numerical simulations show that the proposed algorithms yield good results of reconstruction of vector fields.
引用
收藏
页码：607 / 623
页数：17
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