Reconstruction from ray integrals with sources on a curve

Inverse Problems

Volumn 20, Issue 1, 2004, Pages 239-242

  Palamodov, V P ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTION RECONSTRUCTION; RADON INVERSION; RADON TRANSFORM; RAY INTEGRALS;

CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; INTEGRAL EQUATIONS; INTEGRATION; MATHEMATICAL TRANSFORMATIONS; PARAMETER ESTIMATION; VECTORS;

INVERSE PROBLEMS;

EID: 1342287233     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/20/1/014     Document Type: Article

References (8)

1. Finch D 1985 Cone beam reconstruction with sources on a curve SIAM J. Appl. Math. 45 665-73
2. Gelfand I M and Goncharov A B 1987 Recovery of a compactly supported function starting from its integrals over lines intersecting a given set of points in space Sov. Math. - Dokl. 34 373-6
3. Grangeat P 1991 Mathematical Framework of Cone-beam 3D-Reconstruction via the First Derivative of the Radon Transform (Springer Lecture Notes in Mathematics vol 1497) (Berlin: Springer) pp 66-97
4. Hamaker C, Smith K T, Solmon D C and Wagner S L 1980 The divergent beam transform Rocky Mt. J. Math. 10 253-83
5. Katsevich A 2002 Theoretically exact filtered back projection-type inversion algorithm for spiral CT SIAM J. Appl. Math. 62 2012-26
6. Palamodov V P 1996 An inversion method for an attenuated x-ray transform Inverse Problems 12 717-29
7. Turbell H and Danielsson P-E 2000 Helical cone-beam tomography Int. J. Imaging Syst. Technol. 11 91-100
8. Tuy H K 1983 An inversion formula for cone-beam reconstruction SIAM J. Appl. Math. 43 546-52