An inversion method for an attenuated x-ray transform

被引:14
作者
Palamodov, VP
机构
[1] Mathematical College, Independent University of Moscow, Moscow
关键词
D O I
10.1088/0266-5611/12/5/013
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An inversion method is given for reconstruction of a density in three-dimensional (3D) space from three-parameter data of an attenuated x-ray transform.
引用
收藏
页码:717 / 729
页数:13
相关论文
共 8 条
[1]  
FINCH DV, 1987, CONT MATH, V63, P67
[2]   INVERSION OF THE EXPONENTIAL X-RAY TRANSFORM .1. ANALYSIS [J].
HAZOU, IA ;
SOLMON, DC .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1988, 10 (05) :561-574
[3]  
KUCHMENT P, 1991, SOME INVERSION FORMU
[4]   FOURIER INVERSION OF THE ATTENUATED X-RAY TRANSFORM [J].
MARKOE, A .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1984, 15 (04) :718-722
[5]   INVERSION OF THE ATTENUATED RADON TRANSFORM [J].
NATTERER, F .
NUMERISCHE MATHEMATIK, 1979, 32 (04) :431-438
[6]  
NATTERER F, 1986, MATH COMPUTERIZED TO
[7]  
Orlov S. S., 1976, Soviet Physics - Crystallography, V20, P429
[8]   THE EXPONENTIAL RADON-TRANSFORM [J].
TRETIAK, O ;
METZ, C .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1980, 39 (02) :341-354