The method for finding activity discontinues in positron emission tomography

被引：0
作者：
Yarovenko, Ivan Petrovich [1 ,2 ]
机构：
[1] Inst Appl Math FEB RAS, St Radio 7, Vladivostok 690041, Russia
[2] Far Eastern Fed Univ, St Sukhanova 8, Vladivostok 690950, Russia
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2016年 / 13卷
关键词：
positron emission tomography; radiation transfer theory;
D O I：
10.17377/semi.2016.13.054
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with the inverse problem of a positron emission tomography. It is assumed that the outgoing radiation density is only given, and the task is to find the surface of an activity source. The uniqueness of the solution is proved, and the corresponding solution algorithm is outlined. Some numerical results are presented in graphical form for reconstructing the boundaries of unknown activity sources.
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收藏
页码：694 / 703
页数：10
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