Monotonic penalized-likelihood image reconstruction for X-ray fluorescence computed tomography

IEEE Transactions on Medical Imaging

Volumn 25, Issue 9, 2006, Pages 1117-1129

  La Rivière, Patrick J ^a,b   Vargas, Phillip A ^b  

^a IEEE   (United States)

^b UNIVERSITY OF CHICAGO   (United States)

Author keywords

Image reconstruction; Penalized likelihood; X ray fluorescence computed tomography (XFCT)

Indexed keywords

FLUORESCENCE X-RAYS; MONOCHROMATIC SYNCHROTRON RADIATIONS; PENALIZED LIKELIHOOD; X-RAY FLUORESCENCE COMPUTED TOMOGRAPHY (XFCT);

ALGORITHMS; COMPUTERIZED TOMOGRAPHY; FLUORESCENCE; SCANNING; STIMULATED EMISSION; SYNCHROTRON RADIATION;

IMAGE RECONSTRUCTION;

ALGORITHM; ARTICLE; COMPUTER ASSISTED DIAGNOSIS; COMPUTER ASSISTED TOMOGRAPHY; EVALUATION; IMAGE QUALITY; INFORMATION RETRIEVAL; INSTRUMENTATION; METHODOLOGY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; SPECTROMETRY; STATISTICAL MODEL;

ALGORITHMS; INFORMATION STORAGE AND RETRIEVAL; LIKELIHOOD FUNCTIONS; PHANTOMS, IMAGING; RADIOGRAPHIC IMAGE ENHANCEMENT; RADIOGRAPHIC IMAGE INTERPRETATION, COMPUTER-ASSISTED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; SPECTROMETRY, X-RAY EMISSION; TOMOGRAPHY, X-RAY COMPUTED;

EID: 33748103172     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMI.2006.877441     Document Type: Article

References (28)

1. P. Boisseau and L. Grodzins, "Fluorescence tomography using synchrotron radiation," Hyperfine Interactions, vol. 33, pp. 283-292, 1987.
2. J. P. Hogan, R. A. Gonsalves, and A. S. Krieger, "Fluorescent computer tomography: A model for correction of X-ray absorption," IEEE Trans. Nucl. Sci, vol. 38, no. 6, pp. 1721-1727, Dec. 1991.
3. G.-F. Rust and J. Weigelt, "X-ray fluorescent computer tomography with synchrotron radiation," IEEE Trans. Nucl. Sci., vol. 45, no. 1, pp. 75-88, Feb. 1998.
4. C. G. Schroer, "Reconstructing X-ray fluorescence microtomograms," Appl. Phys. Lett., vol. 79, pp. 1912-1914, 2001.
5. B. Golosio, A. Simionovici, A. Somogyi, L. Lemelle, M. Chukalina, and A. Brunetti, "Internal elemental microanalysis combining X-ray fluorescence, Compton and transmission tomography," J. Appl. Phys., vol. 94, pp. 145-156, 2003.
6. D. McNear, Jr., E. Peltier, J. Everhart, R. L. Chaney, S. Sutton, M. Newville, M. Rivers, and D. L. Sparks, "Application of quantitative fluorescence and absorption-edge computed microtomography to image metal compartmentalization in alyssum murale," Environ. Sci. Technol., vol. 39, pp. 2210-2218, 2005.
7. P. J. La Rivière and D. M. Billmire, "Penalized-likelihood image reconstruction for X-ray fluorescence computed tomography with unknown fluorescence attenuation maps," Proc. SPIE, vol. 5535, pp. 243-252, 2004.
8. P. J. La Rivière, D. M. Billmire, P. A. Vargas, M. Rivers, and S. Sutton, "Penalized-likelihood image reconstruction for X-ray fluorescence computed tomography," Opt. Eng., vol. 45, 2006, (in press).
9. A. R. De Pierro, "A modified expectation maximization algorithm for penalized likelihood estimation in emission tomography," IEEE Trans. Med. Imag., vol. 14, no. 1, pp. 132-137, Mar. 1995.
10. A. V. Bronnikov, "Approximate reconstruction of attenuation map in SPECT imaging," IEEE Trans. Nucl. Sci., vol. 42, no. 5, pp. 1483-1488, Oct. 1995.
11. Y. Censor, D. E. Gustafson, A. Lent, and H. Tuy, "A new approach to the emission computerized tomography problem: Simultaneous calculation of attenuation and activity coefficients," IEEE Trans. Nucl. Sci., vol. NS-26, pp. 2775-2779, 1979.
12. J. Nuyts, P. Dupont, S. Stroobants, R. Benninck, L. Mortelmans, and P. Suetens, "Simultaneous maximum a posteriori reconstruction of attenuation and activity distributions from emission sinograms," IEEE Trans. Med. Imag., vol. 18, no. 5, pp. 393-403, May 1999.
13. M. S. Kaplan, D. R. Haynor, and H. Vija, "A differential attenuation method for simultaneous estimation of SPECT activity and attenuation distributions," IEEE Trans. Nucl. Sci., vol. 46, pp. 535-541, Jun. 1999.
14. N. H. Clinthorne, J. A. Fessler, G. D. Hutchins, and W. L. Rogers, "Joint maximum likelihood estimation of emission and attenuation densities in PET," in Nucl. Sci. Symp. Conf. Rec., 1991, vol. 3, pp. 1927-1932.
15. F. Natterer, "Determination of tissue attenuation in emission tomography of optically dense media," Inverse Problems, vol. 9, pp. 731-736, 1993.
16. A. Welch, R. Clack, F. Natterer, and G. Gullberg, "Toward accurate attenuation correction in SPECT without transmission measurements," Inverse Problems, vol. 9, pp. 731-736, 1993.
17. M. Cholewa, C. Dillon, P. Lay, D. Phillips, T. Talarico, and B. Lai, "High resolution nuclear and X-ray microprobes and their applications in single cell analysis," Nucl. Instrum. Meth. B, vol. 181, pp. 715-722, 2001.
18. T. Yuasa, M. Akiba, T. Takeda, M. Kazama, A. Hoshino, Y. Watanabe, K. Hyodo, F. A. Dilmanian, T. Akatsuka, and Y. Itai, "Reconstruction method for fluorescent X-ray computed tomography by least-squares method using singular value decomposition," IEEE Trans. Nucl. Sci., vol. 44, no. 1, pp. 54-62, Feb. 1997.
19. T. Cichocki, D. Heck, L. Jarczyk, E. Rokita, A. Sirzalkowski, and M. Sych, "Elemental composition of the human atherosclerotic artery wall," Histochemistry, vol. 83, pp. 87-92, 1985.
20. P. L. Csonka, "Secondary X-ray imaging: An alternative approach to angiography and other applications," Nucl. Instrum. Meth. A, vol. 431, pp. 306-319, 1999.
21. _, "Radiation background and beam quality in secondary X-ray imaging for human angiography with Au as a contrast agent," Nucl. Instrum. Meth. A, vol. 556, pp. 589-606, 2006.
22. H. von Busch, G. Harding, G. Martens, J. Schlomka, and B. Schvveizer, "Investigation of externally activated X-ray fluorescence tomography for use in medical diagnostics," Proc. SPIE, vol. 5745, pp. 90-101, 2005.
23. J. A. Fessier, "Statistical image reconstruction methods for transmission tomography," in Handbook of Medical Imaging, J. M. Fitzpatrick and M. Sonka, Eds. Bellingham, WA: SPIE Press. 2000, vol. 2, pp. 1-70.
24. D. F. Yu, J. A. Fessler, and E. P. Ficaro, "Maximum-likelihood transmission image reconstruction for overlapping transmission beams," IEEE Trans. Med. Imag., vol. 19, no. 11, pp. 1094-1105, Nov. 2000.
25. D. F. Yu, "Statistical methods for transmission image reconstruction with nonlocal edge-preserving regularization," Ph.D. dissertation, Univ. Michigan, Ann Arbor, 1999.
26. H. M. Hudson and R. S. Larkin, "Accelerated image reconstruction using ordered subsets of projection data," IEEE Trans. Med. Imag., vol. 13, no. 4, pp. 601-609, Dec. 1994.
27. H. Erdoǧan and J. A. Fessler, "Monotonic algorithms for transmission tomography," IEEE Trans. Med. Imag., vol. 18, no. 9, pp. 801-814, Sep. 1999.
28. J. Leroux, "Method for finding mass-absorption coefficients by empirical equations and graphs," in Advances in X-Ray Analysis, W. M. Mueller, Ed. New York: Plenum, 1962, vol. 5, pp. 153-160.