Improved cone beam local tomography

Inverse Problems

Volumn 22, Issue 2, 2006, Pages 627-643

  Katsevich, Alexander ^a  

^a UNIVERSITY OF CENTRAL FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; IMAGE RECONSTRUCTION; NUMERICAL METHODS; TOMOGRAPHY; WAVEFRONTS;

CONE BEAM LOCAL TOMOGRAPHY; LT RECONSTRUCTION;

INVERSE PROBLEMS;

EID: 33645324031     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/22/2/015     Document Type: Article

References (17)

1. Faridani A 1997 Results, old and new, in computed tomography Inverse Problems in Wave Propagation (IMA Volumes in Mathematics and its Applications vol 90) ed G Chavent, G Papanicolaou, P Sacks and W Symes (New York: Springer) pp 167-93
2. Faridani A, Finch D, Ritman E and Smith K 1997 Local tomography II. SIAM J. Appl. Math. 57 1095-127
3. Finch D, Lan I-R and Uhlmann G 2003 Microlocal analysis of the x-ray transform with sources on a curve Inside Out: Inverse Problems and Applications ed G Uhlmann (Cambridge: Cambridge University Press) pp 193-218
4. Greenleaf A and Uhlmann G 1989 Nonlocal inversion formulas for the x-ray transform Duke Math. J. 58 205-40
5. Hormander L 1983 The Analysis of Linear Partial Differential Operators vol 1 (New York: Springer)
6. Hormander L 1985 The Analysis of Linear Partial Differential Operators vol 4 (New York: Springer)
7. Katsevich A 1997 Local tomography for the generalized Radon transform SIAM J. Appl. Math. 57 1128-62
8. Katsevich A 1999 Cone beam local tomography SIAM J. Appl. Math. 2224-46
9. Katsevich A, Basu S and Hsieh J 2004 Exact filtered backprojection reconstruction for dynamic pitch helical cone beam computed tomography Phys. Med. Biol. 49 3089-103
10. Kuchment P, Lancaster K and Mogilevskaya L 1995 On local tomography Inverse Problems 11 571-89
11. Louis A K and Maass P 1993 Contour reconstruction in 3-D x-ray CT IEEE Trans. Med. Imaging 12 764-9
12. Noo F, Kudo H and Zeng L (ed) 2005 Proc. 8th Int. Conf. on Fully Three-Dimensional Reconstruction in Radiology and Nuclear Medicine (Salt Lake City, Utah, University of Utah) (www.ucair.med.utah.edu/3D05.proceedings.html)
13. Noo F, Pack J and Heuscher D 2003 Exact helical reconstruction using native cone-beam geometries Phys. Med. Biol. 48 3787-818
14. Quinto E T 1993 Singularities of the x-ray transform and limited data tomography in and SIAM J. Math. Anal. 24 1215-25
15. Ramm A and Katsevich A 1996 The Radon Transform and Local Tomography (Boca Raton, FL: CRC Press)
16. Ramm A G 1996 Necessary and sufficient conditions for a PDO to be a local tomography operator C. R. Acad. Sci. 332 613-8
17. Turbell H and Danielsson P-E 2000 Helical cone beam tomography Int. J. Imaging Syst. Technol. 11 91-100