An iterative method for tomographic x-ray perfusion estimation in a decomposition model-based approach

Medical Physics

Volumn 37, Issue 12, 2010, Pages 6125-6141

  Neukirchen, Christoph ^a   Giordano, Marco ^a   Wiesner, Steffen ^a  

^a PHILIPS RESEARCH LABORATORIES   (Germany)

Author keywords

dynamic tomographic reconstruction; iterative parameter estimation; perfusion imaging; regularization

Indexed keywords

CURVE FITTING; FUNCTIONS; IMAGE RECONSTRUCTION; IMAGING SYSTEMS; RECOVERY; TISSUE; TOMOGRAPHY; X RAYS;

COMPUTATIONALLY EFFICIENT; INCORPORATING PRIOR KNOWLEDGE; ITERATIVE PARAMETER ESTIMATION; ITERATIVE TOMOGRAPHIC RECONSTRUCTION; PERFUSION IMAGING; REGULARIZATION; TEMPORAL BASIS FUNCTIONS; TOMOGRAPHIC RECONSTRUCTION;

ITERATIVE METHODS;

EID: 78650136425     PISSN: 00942405     EISSN: None     Source Type: Journal    
DOI: 10.1118/1.3495818     Document Type: Article

References (32)

1. M. Wintermark, P. Maeder, J. P. Thiran, P. Schnyder, and R. Meuli, " Quantitative assessment of regional cerebral blood flow by perfusion CT studies at low injection rates: A critical review of the underlying theoretical models.," Eur. Radiol. ZZZZZZ 0938-7994 11, 1220-1230 (2001). 10.1007/s003300000707 (Pubitemid 32755601)
2. T. Y. Lee, " CT perfusion: Principles, applications and problems.," Proc. SPIE PSISDG 0277-786X 5535, 77-88 (2004). 10.1117/12.561039 (Pubitemid 40422496)
3. H. Bogunovic and S. Loncari, " Estimating perfusion using x-ray angiography.," in Proceedings of the IEEE International Symposium on Image and Signal Processing Analysis (ISPA), 2005, pp. 147-150.
4. M. Grasruck, R. Gupta, B. Reichhardt, E. Klotz, B. T. Schmidt, and T. Flohr, " Perfusion analysis using a wide coverage flat-panel volume CT: Feasibility study.," in Proceedings of the SPIE Medical Imaging Conference, 2007.
5. M. Zellerhoff, Y. Deuerling-Zheng, C. M. Strother, A. Ahmed, K. Pulfer, T. Redel, K. Royality, J. Grinde, and D. Consigny, " Measurement of cerebral blood volume using angiographic C-arm systems.," in Proceedings of the SPIE Medical Imaging Conference, 2009, Vol. 7262, p. 72620H.
6. M. Grasruck, R. Gupta, B. Reichardt, Ch. Suess, B. Schmidt, K. Stierstorfer, S. Popescu, T. Brady, and T. Flohr, " Combination of CT scanning and fluoroscopy imaging on a flat panel CT scanner.," in Proceedings of the SPIE Medical Imaging Conference, 2006.
7. K. Taguchi, " Temporal resolution and the evaluation of candidate algorithms for four-dimensional CT.," Med. Phys. MPHYA6 0094-2405 30, 640-650 (2003). 10.1118/1.1561286 (Pubitemid 36443968)
8. J. Hsieh, Y. Wei, and G. Wang, " Fractional scan algorithms for low-dose perfusion CT.," Med. Phys. MPHYA6 0094-2405 31, 1254-1257 (2004). 10.1118/1.1708653 (Pubitemid 38656800)
9. P. Grangeat, A. Koenig, T. Rodet, and S. Bonnet, " Theoretical framework for a dynamic cone-beam reconstruction algorithm based on a dynamic particle model.," Phys. Med. Biol. PHMBA7 0031-9155 47, 2611-2625 (2002). 10.1088/0031-9155/47/15/304
10. P. Montes and G. Lauritsch, " A temporal interpolation approach for dynamic reconstruction in perfusion CT.," Med. Phys. MPHYA6 0094-2405 34, 3077-3092 (2007). 10.1118/1.2746486 (Pubitemid 47019828)
11. B. W. Reutter, G. T. Gullberg, and R. H. Huesman, " Direct least-squares estimation of spatiotemporal distributions from dynamic SPECT projections using a spatial segmentation and temporal B-splines.," IEEE Trans. Med. Imaging ITMID4 0278-0062 19, 434-450 (2000). 10.1109/42.870254
12. P. Montes, " Dynamic cone-beam reconstruction for perfusion computed tomography.," Ph.D. thesis, University of Heidelberg, Germany, December 2006.
13. M. D. Harpen and M. L. Lecklitner, " Derivation of gamma variate indicator dilution function from simple convective dispersion model of blood flow.," Med. Phys. MPHYA6 0094-2405 11, 690-692 (1984). 10.1118/1.595553 (Pubitemid 15203661)
14. J. S. Maltz, " Direct recovery of regional tracer kinetics from temporally inconsistent dynamic ECT projections using dimension-reduced time-activity basis.," Phys. Med. Biol. PHMBA7 0031-9155 45, 3413-3429 (2000). 10.1088/0031-9155/45/11/322
15. G. H. Golub and C. F. Van Loan, Matrix Computations, 2nd ed. (Johns Hopkins, Baltimore, 1989).
16. P. C. Hansen, Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion (SIAM, Philadelphia, 1998).
17. S. Serowy, O. Gurvit, M. Skalej, and G. Rose, " A Jacobi-like solution to the model based tomographic x-ray perfusion imaging.," in Proceedings of the IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS-MIC), 2007, pp. 3085-3088.
18. P. M. Joseph, " An improved algorithm for reprojecting rays through pixel images.," IEEE Trans. Med. Imaging ITMID4 0278-0062 1, 192-196 (1982). 10.1109/TMI.1982.4307572
19. M. Hanke and P. C. Hansen, " Regularization methods for large-scale problems.," Surv. Math. Ind. SMINER 0938-1953 3, 253-315 (1993).
20. L. Landweber, " An iteration formula for Fredholm integral equation of the first kind.," Am. J. Math. AJMAAN 0002-9327 73, 615-624 (1951). 10.2307/2372313
21. M. Jiang and G. Wang, " Convergence studies on iterative algorithms for image reconstruction.," IEEE Trans. Med. Imaging ITMID4 0278-0062 22, 569-579 (2003). 10.1109/TMI.2003.812253
22. G. L. Zeng and G. T. Gullberg, " Unmatched projector/backprojector pairs in an iterative reconstruction algorithm.," IEEE Trans. Med. Imaging ITMID4 0278-0062 19, 548-555 (2000). 10.1109/42.870265
23. T. J. Herbert, " Statistical stopping criteria for iterative maximum likelihood reconstruction of emission images.," Phys. Med. Biol. PHMBA7 0031-9155 35, 1221-1232 (1990). 10.1088/0031-9155/35/9/003 (Pubitemid 20264596)
24. Y. Censor and T. Elfving, " Block-iterative algorithms with diagonally scaled oblique projections for the linear feasibility problem.," SIAM J. Matrix Anal. Appl. SJMAEL 0895-4798 24, 40-58 (2002). 10.1137/S089547980138705X
25. H. M. Hudson and R. S. Larkin, " Accelerated image reconstruction using ordered subsets of projection data.," IEEE Trans. Med. Imaging ITMID4 0278-0062 13, 601-609 (1994). 10.1109/42.363108
26. K. Mueller, R. Yagel, and J. F. Cornhill, " The weighted distance scheme: A globally optimizing projection ordering method for the algebraic reconstruction method (ART).," IEEE Trans. Med. Imaging ITMID4 0278-0062 16, 223-230 (1997). 10.1109/42.563668
27. T. Koehler, " A projection access scheme for iterative reconstruction based on the golden section.," in Proceedings of the IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS-MIC), 2004, Vol. 6, pp. 3961-3965.
28. E. Klotz and M. Koenig, " Perfusion measurements of the brain: Using dynamic CT for the quantitative assessment of cerebral ischemia in acute stroke.," Eur. Radiol. ZZZZZZ 0938-7994 30, 170-184 (1999). 10.1016/S0720-048X(99)00009-1 (Pubitemid 29343734)
29. K. Mueller, R. Yagel, and J. J. Wheller, " Anti-aliased three-dimensional cone-beam reconstruction of low-contrast objects with algebraic methods.," IEEE Trans. Med. Imaging ITMID4 0278-0062 18, 519-537 (1999). 10.1109/42.781017 (Pubitemid 30507530)
30. S. Geman, E. Bienenstock, and R. Doursat, " Neural networks and the bias/variance dilemma.," Neural Comput. NEUCEB 0899-7667 4, 1-58 (1992). 10.1162/neco.1992.4.1.1
31. A. V. Oppenheim and R. W. Schafer, Discrete-Time Signal Processing (Prentice-Hall, Englewood Cliffs, 1989).
32. T. Elfving and T. Nikazad, " Stopping rules for Landweber-type iteration.," Inverse Probl. INPEEY 0266-5611 23, 1417-1432 (2007). 10.1088/0266-5611/23/4/004 (Pubitemid 47411218)