Efficient calculation of resolution and covariance for penalized-likelihood reconstruction in fully 3-D SPECT

IEEE Transactions on Medical Imaging

Volumn 23, Issue 12, 2004, Pages 1543-1556

  Stayman, J Webster ^a,b   Fessler, Jeffrey A ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

^b Xoran Technologies Inc   (United States)

Author keywords

Image quality; Local impulse response; Noise; Tomography; Variance

Indexed keywords

APPROXIMATION THEORY; COMPUTERIZED TOMOGRAPHY; FUNCTIONS; IMAGE QUALITY; MATHEMATICAL MODELS; MATRIX ALGEBRA; POSITRON EMISSION TOMOGRAPHY; THREE DIMENSIONAL;

FACTORIZATION; LOCAL IMPULSE RESPONSE; TOMOGRAPHIC SYSTEMS; VARIANCES;

IMAGE RECONSTRUCTION;

ABDOMEN; ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; BIOLOGICAL MODEL; CLUSTER ANALYSIS; COMPARATIVE STUDY; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; EVALUATION; HUMAN; IMAGE ENHANCEMENT; IMAGE QUALITY; INFORMATION RETRIEVAL; INSTRUMENTATION; MATHEMATICAL COMPUTING; METHODOLOGY; REGRESSION ANALYSIS; REPRODUCIBILITY; SCINTISCANNING; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING; SINGLE PHOTON EMISSION COMPUTER TOMOGRAPHY; STATISTICAL MODEL; THREE DIMENSIONAL IMAGING; VALIDATION STUDY;

ABDOMEN; ALGORITHMS; ARTIFICIAL INTELLIGENCE; CLUSTER ANALYSIS; COMPUTER SIMULATION; HUMANS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; INFORMATION STORAGE AND RETRIEVAL; LIKELIHOOD FUNCTIONS; MODELS, BIOLOGICAL; MODELS, STATISTICAL; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; PHANTOMS, IMAGING; REGRESSION ANALYSIS; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING, COMPUTER-ASSISTED; TOMOGRAPHY, EMISSION-COMPUTED, SINGLE-PHOTON;

EID: 10044260840     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMI.2004.837790     Document Type: Article

References (20)

1. J. W. Stayman and J. A. Fessler, "Regularization for uniform spatial resolution properties in penalized-likelihood image reconstruction," IEEE Trans. Med. Imag., vol. 19, pp. 601-615, June 2000.
2. H. H. Barrett, D. W. Wilson, and B. M. W. Tsui, "Noise properties of the EM algorithm: I. Theory," Phys. Med. Biol., vol. 39, pp. 833-846, 1994.
3. W. Wang and G. Gindi, "Noise analysis of MAP-EM algorithms for emission tomography," Phys. Med. Biol., vol. 42, pp. 2215-2232, Nov. 1997.
4. E. J. Soares, C. L. Byrne, and S. J. Glick, "Noise characterization of block-iterative reconstruction algorithms. I. Theory," IEEE Trans. Med. Imag., vol. 19, pp. 261-270, Apr. 2000.
5. J. A. Fessler, "Mean and variance of implicitly defined biased estimators (such as penalized maximum likelihood): applications to tomography," IEEE Trans. Image Processing, vol. 5, pp. 493-506, Mar. 1996.
6. J. A. Fessler and W. L. Rogers, "Spatial resolution properties of penalized-likelihood image reconstruction methods: space-invariant tomographs," IEEE Trans. Image Processing, vol. 5, pp. 1346-1358, Sept. 1996.
7. J. W. Stayman and J. A. Fessler, "Compensation for nonuniform resolution using penalized-likelihood reconstruction in space-variant imaging systems," IEEE Trans. Med. Imag., vol. 23, pp. 269-284, Mar. 2004.
8. J. Qi and R. M. Leahy, "A theoretical study of the contrast recovery and variance of MAP reconstructions with applications to the selection of smoothing parameters," IEEE Trans. Med. Imag., vol. 18, pp. 293-305, Apr. 1999.
9. P. Bonetto, J. Qi, and R. M. Leahy, "Covariance approximation for fast and accurate computation of channelized hotelling observer statistics," IEEE Trans. Nucl. Sci., vol. 47, pp. 1567-1572, Aug. 2000.
10. J. Qi and R. H. Huesman, "Theoretical study of lesion detectability of MAP reconstruction using computer observers," IEEE Trans. Med. Imag., vol. 20, pp. 815-822, Aug. 2001.
11. J. Qi and R. M. Leahy, "Resolution and noise properties MAP reconstruction for fully 3-D PET," IEEE Trans. Med. Imag., vol. 19, pp. 493-506, May 2000.
12. Y. Xing, I. T. Hsiao, and G. R. Gindi, "Efficient calculation of resolution and variance in 2D circular-orbit SPECT," in Proc. IEEE Nucl. Sci. Symp. Med. Imag. Conf., vol. 3,2001, Paper M5B-5, pp. 1298-1302.
13. Y. Xing and G. Gindi, "Rapid calculation of detectability in bayesian SPECT," in Proc. IEEE Int. Symp. Biomed. Imag., July 2002, pp. 78-81.
14. R. M. Lewitt, P. R. Edholm, and W. Xia, "Fourier method for correction of depth-dependent collimator blurring," Proc. SPIE 1092, Med. Imaging III: Image Processing, pp. 232-243, 1989.
15. J. A. Fessler, "Approximate variance images for penalized-likelihood image reconstruction," in Proc. IEEE Nucl. Sci. Symp. Med. Imag. Conf., vol. 2, 1997, pp. 949-952.
16. The Zubal Phantom. Image Processing and Analysis Group, Dept. Diagnostic Radiology and Electrical Engineering and the Yale School of Medicine, Yale Univ., New Haven, CT. [Online]. Available: http://noodle.med.yale.edu/zubal/
17. G. Zubal, G. Gindi, M. Lee, C. Harrell, and E. Smith, "High resolution anthropomorphic phantom for Monte Carlo analysis of internal radiation sources," in Proc. IEEE Symp. Computer-Based Medical Systems, 1990, pp. 540-547.
18. J. A. Fessler and H. Erdoǧan, "A paraboloidal surrogates algorithm for convergent penalized-likelihood emission image reconstruction," in Proc. IEEE Nucl. Sci. Symp. Med. Imag. Conf., vol. 2, 1998, pp. 1132-1135.
19. H. Erdoǧan and J. A. Fessler, "Monotonic algorithms for transmission tomography," IEEE Trans. Med. Imag., vol. 18, pp. 801-814, Sept. 1999.
20. _, "Ordered subsets algorithms for transmission tomography," Phys. Med. Biol., vol. 44, pp. 2835-2851, Nov. 1999.