SOME APPROACHES TO A RECONSTRUCTION OF A SINGULAR SUPPORT OF SCALAR, VECTOR AND TENSOR FIELDS BY THEIR KNOWN TOMOGRAPHIC DATA

被引：0
作者：
Derevtsov, E. Y. [1 ]
机构：
[1] Russian Acad Sci, Siberian Branch, Sobolev Inst Math, Koptyuga 4, Novosibirsk 630090, Russia
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2008年 / 5卷
关键词：
tensor field; ray transform; back projection operator; singular support;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The problem of singular support reconstruction of scalar, vector and tensor fields by their given tomographic data is formulated in the paper. Main definitions and properties of differential and integral operators which were used for the problem of the singular support visualization are described, as well as the results of numerical simulations.
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页码：632 / 646
页数：15
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