A simple derivation and analysis of a helical cone beam tomographic algorithm for long object imaging via a novel definition of region of interest

Physics in Medicine and Biology

Volumn 49, Issue 2, 2004, Pages 205-225

  Hu, Jicun ^a   Tam, Kwok ^b   Johnson, Roger H ^a  

^a Medical College of Wisconsin and Marquette University   (United States)

^b Tam Inc   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONTAMINATION; MEDICAL IMAGING; RADIOLOGY;

ZERO BOUNDARY METHODS;

TOMOGRAPHY;

ALGORITHM; ANALYTIC METHOD; ARTICLE; CALCULATION; COMPUTER ASSISTED TOMOGRAPHY; CONTROLLED STUDY; FILTRATION; GEOMETRY; IMAGE QUALITY; IMAGE RECONSTRUCTION; IMAGING SYSTEM; MATHEMATICAL COMPUTING; PRIORITY JOURNAL;

ALGORITHMS; COMPUTER SIMULATION; IMAGE PROCESSING, COMPUTER-ASSISTED; MODELS, THEORETICAL; PHANTOMS, IMAGING; TOMOGRAPHY SCANNERS, X-RAY COMPUTED; TOMOGRAPHY, X-RAY COMPUTED;

EID: 0942266356     PISSN: 00319155     EISSN: None     Source Type: Journal    
DOI: 10.1088/0031-9155/49/2/003     Document Type: Article

References (24)

1. Danielsson P-E, Edholm P, Eriksson J and Magnusson-Seger M 1997 Towards exact 3D-reconstruction for helical cone beam scanning of long objects: A new arrangement and a new completeness condition Proc. 1997 Meeting On Fully 3D Image Reconstruction in Radiology and Nuclear Medicine (Nemacolin, Pennsylvania) pp 141-4
2. Defrise M and Clack R 1994 A cone beam reconstruction algorithm using shift-variant filtering and cone-beam backprojection IEEE Trans. Med. Imaging 13 186-95
3. Defrise M. Noo F and Kudo H 2000 A solution to the long object problem in helical cone beam tomography Phys. Med. Biol. 45 1-21
4. Feldkamp L A, Davis L C and Kress J W 1984 Practical cone-beam algorithm J. Opt. Soc. Am. A 1 612-9
5. Grangeat P 1991 Mathematical framework of cone beam 3D reconstruction via the first derivative of the Radon transform Mathematical Methods in Tomography, (Lecture Notes in Mathematics vol 1497) ed G T Herman, A K Louis and F Natterer (New York: Springer) pp 66-97
6. Hu H 1999 Multi-slice helical CT: scan and reconstruction Med. Phys. 26 5-18
7. Kachelriess M, Schaller S and Kalender W 2000 Advanced single-slice rebinning in cone-beam spiral CT Med. Phys. 27 754-72
8. Katsevich A 2002 Analysis of an exact inversion algorithm for spiral cone-beam CT Phys. Med. Biol. 47 2583-98
9. Kudo H, Noo F and Defrise M 1998 Cone-beam filtered-backprojection algorithm for truncated helical data Phys. Med. Biol. 43 2885-909
10. Kudo H, Noo F and Defrise M 2000 Quasi-exact filtered backprojection algorithm for long object problem in helical cone beam tomography IEEE Trans. Med. Imaging 1 902-21
11. Kudo H, Noo F and Defrise M 2001 Simple quasi-exact filtered backprojection algorithms for long object problem in helical cone-beam tomography Proc. 2001 Meeting on Fully 3D Image Reconstruction in Radiology and Nuclear Medicine (Pacific Grove, CA) pp 7-10
12. Kudo H and Saito T 1994 Derivation and implementation of a cone-beam reconstruction algorithm for nonplanar orbits IEEE Trans. Med. Imaging 13 196-211
13. Lauritsch G, Sourbelle K and Tam K C 2002 Optimization of derivative kernels for exact cone beam ROI reconstruction in spiral computed tomography IEEE Trans. Nucl. Sci. 49 728-32
14. Noo F, Defrise M and Clackdoyle R 1999 Single-slice rebinning method for helical cone-beam CT Phys. Med. Biol. 44 561-70
15. Schaller S et al 2000 Exact radon rebinning algorithm for the long object problem in helical cone beam CT IEEE Trans. Med. Imaging 19 361-75
16. Silver M 1998 High-helical-pitch cone beam computed tomography Phys. Med. Biol. 43 847-55
17. Smith B D 1985 Image reconstruction from cone-beam projections: necessary and sufficient conditions and reconstruction methods IEEE Trans. Med. Imaging 4 14-25
18. Stearns C W, Crawford C R and Hu H 1994 Oversampled filters for quantitative volumetric PET reconstruction Phys. Med. Biol. 39 381-7
19. Taguchi K and Aradate H 1998 Algorithm for image reconstruction in multi-slice helical CT Med. Phys. 25 550-61
20. Tam K C 1995 Three-dimensional computerized tomography scanning method and system for imaging large objects with smaller area detectors US Patent 5390112
21. Tam K C, Lauritsch G and Sourbelle K 2002 Filtering point spread function in backprojection cone-beam CT and its applications in long object imaging Phys. Med. Biol. 47 2685-703
22. Turbell H and Danielsson P-E 1998 Non-redundant data capture and highly efficient reconstruction for helical cone-beam CT Conference Record of 1998 IEEE Medical Imaging Conf. pp 1424-5
23. Tuy H K 1983 An inversion formula for cone-beam reconstruction SIAM J. Appl. Math. 43 546-54
24. Wang G, Liu Y, Lin T H, Chen P-C and Shinozaki D M 1993 A general cone-beam reconstruction algorithm IEEE Trans. Med. Imaging 12 486-96