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Optics Letters

Optics Letters


  • Vol. 30, Iss. 18 — Sep. 15, 2005
  • pp: 2439–2441

Local diffusion regularization method for optical tomography reconstruction by using robust statistics

Abdel Douiri, Martin Schweiger, Jason Riley, and Simon Arridge  »View Author Affiliations

Optics Letters, Vol. 30, Issue 18, pp. 2439-2441 (2005)

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We formulate a solution to the diffuse optical tomography (DOT) inverse problem as the minimization of an energy functional of the solution and the data. For the solution prior we introduce a local diffusion regularization potential with a threshold based on robust statistics (the Hubert function). We compare results on simulated data for the Hubert function and two other standard regularization functionals, Tikhonov and total variation.

© 2005 Optical Society of America

OCIS Codes
(100.3020) Image processing : Image reconstruction-restoration
(100.3190) Image processing : Inverse problems
(100.6950) Image processing : Tomographic image processing
(170.5280) Medical optics and biotechnology : Photon migration

Abdel Douiri, Martin Schweiger, Jason Riley, and Simon Arridge, "Local diffusion regularization method for optical tomography reconstruction by using robust statistics," Opt. Lett. 30, 2439-2441 (2005)

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  1. F. F. Jöbsis, Science 198, 1264 (1977).
  2. S. Fantini, S. A. Walker, M. A. Franceschini, M. Kaschke, P. M. Schlag, and K. T. Moesta, Appl. Opt. 37, 1982 (1998).
  3. B. W. Pogue, K. D. Paulsen, C. Abele, and H. Kaufman, J. Biomed. Opt. 5, 185 (2000). [CrossRef]
  4. M. Cope and D. T. Delpy, Med. Biol. Eng. Comput. 26, 289 (1988).
  5. S. R. Arridge, Inverse Probl. 15, R41 (1999). [CrossRef]
  6. S. Geman and D. Geman, IEEE Trans. Pattern Anal. Mach. Intell. PAMI-6, 721 (1984).
  7. J. Weickert, in Scale-Space Theory in Computer Vision, Vol. 1252 of Lecture Notes in Comp. Science (Springer-Verlag, 1997), p. 3.
  8. C. R. Vogel, Computational Methods for Inverse Problems (SIAM, 2002).
  9. M. Schweiger, S. R. Arridge, and I. Nissila, Phys. Med. Biol. (to be published).
  10. A. Tikhonov, Sov. Math. Dokl. 4, 1624 (1963).
  11. S. R. Arridge and M. Schweiger, in Information Processing in Medical Imaging (IPMI'93 Proceedings), Vol. 687 of Lecture Notes in Computer Science (Springer-Verlag, 1993), p. 259.
  12. B. W. Pogue, T. O. McBride, J. Prewitt, U. L. Osterberg, and K. D. Paulsen, Appl. Opt. 38, 2950 (1999).
  13. L. I. Rudin, S. Osher, and E. Fatemi, Physica D 60, 259 (1992). [CrossRef]
  14. K. D. Paulsen and H. Jiang, Appl. Opt. 35, 3447 (1996).
  15. T. Chan, A. Marquina, and P. Mulet, SIAM J. Sci. Comput. (USA) 22, 503 (2000). [CrossRef]
  16. C. A. Bouman and K. Sauer, IEEE Trans. Image Process. 2, 296 (1993). [CrossRef]
  17. A. H. Hielscher and S. Bartel, J. Biomed. Opt. 6, 183 (2001). [CrossRef]
  18. P. J. Hubert, Robust Statistics (Wiley, 1981).
  19. P. Perona and J. Malik, IEEE Trans. Pattern Anal. Mach. Intell. 12, 629 (1990). [CrossRef]
  20. D. S. Luo, M. A. King, and S. Glick, IEEE Trans. Nucl. Sci. 41, 2800 (1994).
  21. F. R. Hampel, E. M. Ronchetti, and P. J. Rousseeuw, Robust Statistics: the Approach Based on Influence Functions (Wiley, 1986).
  22. M. J. Black, G. Sapiro, D. H. Marimont, and D. Heeger, IEEE Trans. Image Process. 7, 421 (1998). [CrossRef]
  23. S. R. Arridge, M. Schweiger, M. Hiraoka, and D. T. Delpy, Med. Phys. 20, 299 (1993). [CrossRef]
  24. P. C. Hansen and D. P. O'Leary, SIAM J. Sci. Comput. (USA) 14, 1487 (1993). [CrossRef]

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