Statistical projection completion in X-ray CT using consistency conditions

IEEE Transactions on Medical Imaging

Volumn 29, Issue 8, 2010, Pages 1528-1540

  Xu, Jingyan ^a   Taguchi, Katsuyuki ^a   Tsui, Benjamin M W ^a  

^a JOHNS HOPKINS UNIVERSITY SCHOOL OF MEDICINE   (United States)

Author keywords

Computed tomography (CT) artifacts; fan beam computed tomography; image reconstruction; incomplete projection

Indexed keywords

COMPUTED TOMOGRAPHY; CONSISTENCY CONDITIONS; DATA TRUNCATION; FAN-BEAM COMPUTED TOMOGRAPHY; FBP RECONSTRUCTED IMAGES; FIELD OF VIEWS; FILTERED BACK-PROJECTION; ITERATIVE ALGORITHM; LIMITED-ANGLE TOMOGRAPHY; LINEAR CONSTRAINTS; LOG LIKELIHOOD; METAL ARTIFACTS; OBJECTIVE FUNCTIONS; PATIENT DATA; PENALIZED MAXIMUM LIKELIHOOD; PENALTY TERM; PRIOR KNOWLEDGE; PROBLEM FORMULATION; PROJECTION DATA; RECONSTRUCTED IMAGE; REDUCTION METHOD; SIMULATED DATA; SINOGRAMS; SPARSE SAMPLING; STATISTICAL DISTRIBUTION; X-RAY COMPUTED TOMOGRAPHY; X-RAY CT;

ALGORITHMS; FAST FOURIER TRANSFORMS; HOSPITAL DATA PROCESSING; IMAGE RECONSTRUCTION; MAXIMUM LIKELIHOOD; MEDICAL COMPUTING; METADATA; RESTORATION; WAVELET TRANSFORMS; X RAYS;

COMPUTERIZED TOMOGRAPHY;

ALGORITHM; ARTICLE; ARTIFACT; COMPUTER ASSISTED TOMOGRAPHY; COMPUTER SIMULATION; FOURIER ANALYSIS; HUMAN; IMAGE PROCESSING; IMAGE QUALITY; METHODOLOGY; OBESITY; REGRESSION ANALYSIS; STATISTICAL MODEL;

ALGORITHMS; ARTIFACTS; COMPUTER SIMULATION; FOURIER ANALYSIS; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; LEAST-SQUARES ANALYSIS; MODELS, STATISTICAL; OBESITY; PHANTOMS, IMAGING; TOMOGRAPHY, X-RAY COMPUTED;

EID: 77955320531     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMI.2010.2048335     Document Type: Article

References (31)

1. G. T. Herman and R. M. Lewitt, "Evaluation of a preprocessing algorithm for truncated CT projections, " J. Comput. Assist. Tomogr., vol.5, no.1, pp. 127-135, Feb. 1981.
2. D. S. Lalush and B. M. Tsui, "Performance of ordered-subset reconstruction algorithms under conditions of extreme attenuation and truncation in myocardial SPECT, " J. Nucl. Med., vol.41, no.4, pp. 737-744, Apr. 2000.
3. D. L. Snyder, J. A. O'Sullivan, R. J. Murphy, D. G. Politte, B. R. Whiting, and J. F. Williamson, "Image reconstruction for transmission tomography when projection data are incomplete, " Phys. Med. Biol., vol.51, pp. 5603-5619, Nov. 2006.
4. S. H. Manglos, "Truncation artifact suppression in cone-beam radionu-clide transmission CT using maximum likelihood techniques: Evaluation with human subjects, " Phys. Med. Biol., vol.37, no.3, pp. 549-562, Mar. 1992.
5. J. Hsieh, E. Chao, J. Thibault, B. Grekowicz, A. Horst, S. McOlash, and T. J. Myers, "A novel reconstruction algorithm to extend the CT scan field-of-view, " Med. Phys. vol.31, no.9, pp. 2385-2391, 2004 [Online]. Available: http://link.aip.org/link/?MPH/31/2385/1
6. B. Ohnesorge, T. Flohr, K. Schwarz, J. P. Heiken, and K. T. Bae, "Efficient correction for CT image artifacts caused by objects extending outside the scan field of view, " Med. Phys., vol.27, no.1, pp. 39-46, Jan. 2000.
7. S. Helgason, "The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds, " Acta Mathe-matica, vol.113, no.1, pp. 153-180, Jul/1965.
8. D. Ludwig, "The Radon transform on Euclidean space, " Commun. Pure Appl. Math., vol.XIX, pp. 49-81, 1966.
9. A. A. Zamyatin and S. Nakanishi, "Extension of the reconstruction field of view and truncation correction using sinogram decomposition, " Med. Phys. vol.34, no.5, pp. 1593-1604, 2007 [Online]. Available: http://link.aip.org/link/?MPH/34/1593/1
10. R. Chityala, K. R. Hoffman, S. Rudin, and D. R. Bednarek, "Artifact reduction in truncated CT using sinogram completion, " in Proc. SPIE Med. Imag, Conf. Image Process., 2005, vol.5747, pp. 2110-2117.
11. K. Sourbelle, M. Kachelriess, and W. A. Kalender, "Reconstruction from truncated projections in CT using adaptive detruncation, " Eur. Radiol., vol.15, no.5, pp. 1008-1014, May 2005.
12. G.-H. Chen and S. Leng, "A new data consistency condition for fan-beam projection data, " Med. Phys. vol.32, no.4, pp. 961-967, 2005 [Online]. Available: http://link.aip.org/link/?MPH/32/961/1
13. H. Kudo and T. Saito, "Sinogram recovery with the method of convex projections for limited-data reconstruction in computed tomography, " J. Opt. Soc. Am., A, vol.8, no.7, pp. 1148-1160, Jul. 1991.
14. J. L. Prince and A. S. Willsky, "Constrained sinogram restoration for limited-angle tomography, " Opt. Eng., vol.29, no.5, pp. 535-544, May 1990.
15. F. Natterer, The Mathematics of Computed Tomography. Philadelphia, PA: SIAM Classics in Applied Mathematics, 2001.
16. A. R. De Pierro, "On the relation between the ISRA and the EM algorithm for positron emission tomography, " IEEE Trans. Med. Imag., vol.12, no.2, pp. 328-333, Jun. 1993.
17. K. Lange, D. R. Hunter, and I. Yang, "Optimization transfer using surrogate objective functions, " J. Computat. Graphical Stat., vol.9, no.1, pp. 1-20, Mar. 2000.
18. W. M. Gentleman, "Implementing Clenshaw-Curtis quadrature, II computing the cosine transformation, " Commun. ACM, vol.15, no.5, pp. 343-346, 1972.
19. T. Bortfeld and U. Oelfke, "Fast and exact 2-D image reconstruction by means of Chebyshev decomposition and backprojection, " Phys. Med. Biol., vol.44, pp. 1105-1120, Apr. 1999.
20. P. J. La Riviere, J. Bian, and P. A. Vargas, "Penalized-likelihood sino-gram restoration for computed tomography, " IEEE Trans. Med. Imag., vol.25, no.8, pp. 1022-1036, Aug. 2006.
21. H. Erdogan and J. A. Fessler, "Monotonic algorithms for transmission tomography, " IEEE Trans. Med. Imag., vol.18, no.9, pp. 801-814, Sep. 1999.
22. H. Erdogan and J. A. Fessler, "Ordered subsets algorithms for transmission tomography, " Phys. Med. Biol. vol.44, no.11, pp. 2835-2851, 1999 [Online]. Available: http://stacks.iop.org/0031-9155/44/2835 (Pubitemid 29529363)
23. J. Hsieh, Computer Tomography, Principles, Design, Artifacts, and Recent Advances, 1st ed. Bellingham, WA: SPIE, 2003.
24. A. Ziegler, T. Köhler, and R. Proksa, "Noise and resolution in images reconstructed with FBP and OSC algorithms for CT, " Med. Phys. vol.34, no.2, pp. 585-598, 2007 [Online]. Available: http://link.aip.org/link/? MPH/34/585/1
25. J. Wang, H. Lu, Z. Liang, D. Eremina, G. Zhang, S. Wang, J. Chen, and J. Manzione, "An experimental study on the noise properties of X-ray CT sinogram data in Radon space, " Phys. Med. Biol., vol.53, pp. 3327-3341, Jun. 2008. (Pubitemid 351892405)
26. F. Noo, R. Clackdoyle, and J. D. Pack, "A two-step Hilbert transform method for 2-D image reconstruction, " Phys. Med. Biol., vol.49, pp. 3903-3923, Sep. 2004.
27. M. Defrise, F. Noo, R. Clackdoyle, and H. Kudo, "Truncated Hilbert transform and image reconstruction from limited tomographic data, " Inverse Problems, vol.22, pp. 1037-1053, Jun. 2006.
28. B. R. Whiting, P. Massoumzadeh, O. A. Earl, J. A. O'Sullivan, D. L. Snyder, and J. F. Williamson, "Properties of preprocessed sino-gram data in X-ray computed tomography, " Med. Phys. vol.33, no.9, pp. 3290-3303, 2006 [Online]. Available: http://link.aip.org/link/?MPH/33/3290/1
29. B. D. Man, J. Nuyts, P. Dupont, G. Marchal, and P. Suetens, "An iterative maximum-likelihood polychromatic algorithm for CT, " IEEE Trans. Med. Imag., vol.20, no.10, pp. 999-1008, Oct. 2001.
30. J. O'Sullivan and J. Benac, "Alternating minimization algorithms for transmission tomography, " IEEE Trans. Med. Imag., vol.26, no.3, pp. 283-297, Mar. 2007.
31. Y. O'Connor and J. Fessler, "Fourier-based forward and back-projectors in iterative fan-beam tomographic image reconstruction, " IEEE Trans. Med. Imag., vol.25, no.5, pp. 582-589, May 2006.