Inversion of the attenuated Radon transform

Inverse Problems

Volumn 17, Issue 1, 2001, Pages 113-119

  Natterer, F ^a  

^a UNIVERSITY OF MÜNSTER   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ATTENUATION; MATHEMATICAL TRANSFORMATIONS; TOMOGRAPHY;

BACKPROJECTION ALGORITHM; RADON TRANSFORMS;

INVERSE PROBLEMS;

EID: 0034832061     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/17/1/309     Document Type: Article

References (9)

1. Gradshteyn I S and Ryzhik I M 1965 Table of Integrals, Series, and Products (New York: Academic)
2. Kak A C and Slaney M 1987 Principles, of Computerized Tomography (Piscataway, NJ: IEEE)
3. Kunyanski L A new SPECTreconstruction algorithm based on the Novikov's explicit inversion formula California Institute of Technology Preprint
4. Natterer F 1986 The Mathematics of Computerized Tomography (New York: Wiley-Teubner)
5. Natterer F 1979 The ill-posedness of Radon's integral equation Symp. on III-Posed Problems: Theory and Practice (Delaware, 1979)
6. Novikov R G 2000 An inversion formula for the attenuated x-ray transform Preprint CNRS, UMR 6629, Departément de Mathematiques, Université de Nantes
7. Palamodov V P 1996 An inversion formula for an attenuated x-ray transform Inverse Problems 12 717-30
8. Tretiak O and Metz C 1980 The exponential Radon transform SIAM J. Appl. Math. 39 341-54
9. Arzubov E V, Bukhgeim A L and Kazantsev S G 1998 Two dimensional tomography problem and the theory of A-analytic functions Siberian Adv. Math. 8 1-20