Inversion of the x-ray transform for 3D symmetric tensor fields with sources on a curve

Inverse Problems

Volumn 22, Issue 2, 2006, Pages 399-411

  Denisjuk, Alexander ^a  

^a Elblag University of Humanities and Economy   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIATION (CALCULUS); INTEGRATION; LINEAR EQUATIONS; TENSORS; X RAYS;

ALGEBRAIC EQUATIONS; INTERSECTION POINTS; X-RAY TRANSFORM;

MATHEMATICAL TRANSFORMATIONS;

EID: 33645297118     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/22/2/001     Document Type: Article

References (21)

1. Helgason S 1999 The Radon Transform (Boston, MA: Birkhäuser)
2. Aben H K 1979 Integrated Photoelasticity (New York: McGraw-Hill)
3. Denisjuk A S 1994 AMS Transl. 162 19-32
4. Denisjuk A 1997 Proc. Int. Conf. SAATS-97 (Brest: BrSU) pp 207-16 (in Russian)
5. Efremov N, Pamentov N and Kharachenko V 1995 J. Quant. Spectrosc. Radiat. Transfer 6 723-8
6. Gelfand I M and Graev M I 1968 Funkts. Anal. Prilozhen. 2 39-52 (in Russian)
7. Grangeat P 1990 Lecture Notes Math. 1497 66-97
8. John F 1938 Duke Math. J. 4 300-22
9. Kirillov A A 1961 Sov. Math 2 276-7
10. Michel R 1981 Invet. Math. 65 71-84
11. Norton S J 1992 IEEE Trans. Image Process. 1 406-12
12. Palamodov V P 1990 Lecture Notes Math. 1497 53-62
13. Palamodov V P 2004 Reconstructive Integral Geometry (Boston, MA: Birkhäuser)
14. Rieder A and Schuster T 2004 Numer. Math. 97 353-78
15. Romanov V G 1987 Inverse Problems of Mathematical Physics (Utrecht: Science Press)
16. Sharafutdinov V A 1994 Integral Geometry of Tensor Fields (Utrecht: VSP)
17. Sparr G, Andersson F and Vertgeim L Vector field tomography, an overview at press
18. Schuster T 2000 Inverse Problems 16 701-23
19. Schuster T 2004 Inverse Problems 17 739-66
20. Tuy H K 1983 SIAM J. Appl. Math. 433 546-52
21. Vertgeim L B 2000 J. Inv. Ill-posed Problems 8 353-62