Image reconstruction with a shift-variant filtration in circular cone-beam CT

International Journal of Imaging Systems and Technology

Volumn 14, Issue 5, 2004, Pages 213-221

  Yu, Lifeng ^a   Pan, Xiaochuan ^a   Pelizzari, Charles A ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

Computed tomography (CT); Cone beam projection; Image reconstruction

Indexed keywords

CONE-BEAM PROJECTION; FIELD OF MEASUREMENT (FOM); MICRO-COMPUTERIZED TOMOGRAPHY (MICRO-CT); SPATIAL FUNCTIONS;

ALGORITHMS; COMPUTER SIMULATION; COMPUTERIZED TOMOGRAPHY; DATA ACQUISITION; FUNCTIONS; IMAGING TECHNIQUES; RADIOTHERAPY;

IMAGE RECONSTRUCTION;

EID: 17644373040     PISSN: 08999457     EISSN: None     Source Type: Journal    
DOI: 10.1002/ima.20026     Document Type: Article

References (23)

1. Z. Cao and B. M. W. Tsui, An analytical reconstruction algorithm for multifocal converging-beam SPECT, Phys Med Biol 39 (1994), 281-291.
2. M. Defrise and R. Clack, A cone-beam reconstruction algorithm using shift-variant filtering and cone-beam back-projection, IEEE Trans Med Imaging 13(1994), 186-195.
3. L.A. Feldkamp, L.C. Davis, and J.W. Kress, Practical cone-beam algorithm, J Opt Soc Am Al (1984), 612-619.
4. P. Orangeat, Mathematical framework of cone-beam 3D reconstruction via the first derivative of the Radon transform. In G. T. Herman, A. K. Lous, and F. Natterer, Eds., Mathematical methods in tomography. Lecture notes in Mathematics, Springer-Verlag, New York, 1991, pp. 66-97.
5. M. Grass, T. Köhler, and R. Proksa, 3D cone-beam CT reconstruction for circular trajectories, Phys Med Biol 45 (2000), 329-347.
6. J. Hsieh, Scintillation camera and multifocal fan-beam collimator used therein, United States Patent 4, 823, 017, 1989.
7. H. Hu, An improved cone-beam reconstruction algorithm for the circular orbit, Scanning 18 (1996), 572-581.
8. International Commission on Radiation Units and Measurements (ICRU), Medical imaging - The assessment of image quality (ICRU Report 54), ICRU, Bethesda, MD, 1996.
9. A. Katsevich, Theoretically exact FBP-type inversion algorithm for spiral CT, SIAM J Appl Math 62 (2002), 2012-2026.
10. H. Kudo and T. Saito, Derivation and implementation of a cone-beam recon-struction algorithm for nonplanar orbits, IEEE Trans Med Imaging 13 (1994), 196-211.
11. K.J. Myers, Ideal observer models of visual signal detection. In J. Beutel, H. L. Kundel, and R. L. Van Metter, Eds., Handbook of medical imaging, Vol 1, Physics and psychophysics, SPIE Press, Bellingham, WA, 2000, pp. 559-592.
12. F. Noo, M. Defrise, and R. Clack, Direct reconstruction of cone-beam data acquired with a vertex path containing a circle, IEEE Trans Image Processing 7 (1998), 854-867.
13. X. Pan, Optimal noise control in and fast reconstruction of fan-beam computed tomography image, Med Phys 26 (1999), 689-697.
14. X. Pan and L. Yu, Image reconstruction with shift-variant filtration and its implication for noise and resolution properties in fan-beam computed tomography, Med Phys 30 (2003), 590-600.
15. B.D. Smith, Image reconstruction from cone-beam projections: necessary and sufficient conditions and reconstruction methods, IEEE Trans Med Imaging 4 (1985), 14-25.
16. K.C. Tam, S. Samarasekera, and F. Sauer, Exact cone-beam CT with a spiral scan, Phys Med Biol 43 (1998), 1015-1024.
17. H. Turbell, Cone-beam reconstruction using filtered backprojection, PhD. thesis, Linköping University, 2001.
18. H.K. Tuy, An inversion formula for cone-beam reconstruction, SIAM J Appl Math 43 (1983), 546-552.
19. X. Wang and R. Ning, A cone-beam reconstruction algorithm for circle-plusarc data-acquisition geometry, IEEE Trans Med Imaging 18 (1999), 815-824.
20. L. Yu and X. Pan, Halfscan fan-beam computed tomography with improved noise and resolution properties, Med Phys 30 (2003), 2629-2637.
21. G.L. Zeng and G.T. Gullberg, A cone-beam tomography algorithm for orthogonal circle-and line orbit, Phys Med Biol 37 (1992), 563-577.
22. G.L. Zeng, G.T. Gullberg, R.J. Jaczczak, and J. Li, Fan-beam reconstruction algorithm for a spatially varying focal length collimator, IEEE Trans Med Imaging 12 (1993), 575-585.
23. Y. Zou and X. Pan, Exact image reconstruction on PI-line from minimum data in helical cone-beam CT, Phys Med Biol 49 (2004), 941-959.