An alternative proof of Bukhgeim and Kazantsev's inversion formula for attenuated fan-beam projections

Medical Physics

Volumn 33, Issue 11, 2006, Pages 3983-3987

  Huang, Qiu ^a   Zeng, Gengsheng L ^a   Wu, Jiansheng ^b  

^a UNIVERSITY OF UTAH SCHOOL OF MEDICINE   (United States)

^b University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATTENUATED FAN-BEAM PROJECTIONS; ATTENUATED RADON TRANSFORMS; FAN BEAMS; FAN-BEAM PROJECTIONS; INVERSION FORMULA; PARALLEL BEAMS; RUSSIAN ACADEMY OF SCIENCES; TWO DIMENSIONAL (2 D);

ALGORITHM; ALTERNATIVE HYPOTHESIS; ARTICLE; BEAM THERAPY; MATHEMATICAL MODEL; MEDICAL RESEARCH; MEDICAL SOCIETY; PRIORITY JOURNAL;

EID: 33750545359     PISSN: 00942405     EISSN: None     Source Type: Journal    
DOI: 10.1118/1.2356649     Document Type: Article

References (6)

1. E. V. Arbuzov, A. A. Bukhgeim, and S. G. Kazantsev, " Two-dimensional tomography problems and the theory of A-analytic function., " Siberian Advances in Mathematics 8, 1-20 (1998).
2. A. A. Bukhgeim and S. G. Kazantsev, " Inversion formula for the fan-beam, attenuated Radon transform in a unit disk., " Russian Academy of Science Siberian Branch: The Sobolev Institute of Mathematics, Preprint No.99, 2002.
3. Q. Huang, G. L. Zeng, J. You, and G. T. Gullberg, " An FDK-like cone-beam SPECT reconstruction algorithm for non-uniform attenuated projections acquired using a circular trajectory., " Phys. Med. Biol. 50, 2329-2339 (2005).
4. S. G. Kazantsev, " Generalized A-analytic functions in tomography problems., " Dokl. Akad. Nauk, 356, 449-451 (1997).
5. R. G. Novikov, " An inversion formula for the attenuated x-ray transformation., " Ark. Mat. 40, 145-167 (2002).
6. J. You, G. L. Zeng, and Z. Liang, " FBP algorithms for attenuated fan-beam projections., " Inverse Probl. 21, 1179-1192 (2005).