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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics


  • Editor: Gregory W. Faris
  • Vol. 1, Iss. 11 — Nov. 13, 2006

Reconstruction method with data from a multiple-site continuous-wave source for three-dimensional optical tomography

Jianzhong Su, Hua Shan, Hanli Liu, and Michael V. Klibanov  »View Author Affiliations

JOSA A, Vol. 23, Issue 10, pp. 2388-2395 (2006)

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A method is presented for reconstruction of the optical absorption coefficient from transmission near-infrared data with a cw source. As it is distinct from other available schemes such as optimization or Newton's iterative method, this method resolves the inverse problem by solving a boundary value problem for a Volterra-type integral-differential equation. It is demonstrated in numerical studies that this technique has a better than average stability with respect to the discrepancy between the initial guess and the actual unknown absorption coefficient. The method is particularly useful for reconstruction from a large data set obtained from a CCD camera. Several numerical reconstruction examples are presented.

© 2006 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(100.3190) Image processing : Inverse problems
(110.6960) Imaging systems : Tomography
(110.7050) Imaging systems : Turbid media
(170.3880) Medical optics and biotechnology : Medical and biological imaging

ToC Category:
Image Processing

Original Manuscript: February 2, 2006
Manuscript Accepted: March 31, 2006

Virtual Issues
Vol. 1, Iss. 11 Virtual Journal for Biomedical Optics

Jianzhong Su, Hua Shan, Hanli Liu, and Michael V. Klibanov, "Reconstruction method with data from a multiple-site continuous-wave source for three-dimensional optical tomography," J. Opt. Soc. Am. A 23, 2388-2395 (2006)

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  1. S. Gopinath, C. S. Robertson, R. G. Grossman, and B. Chance, "Near-infrared spectroscopic localization of intracranial hematomas," J. Neurosurg. 79, 43-47 (1993).
  2. C. Cheung, J. P. Culver, K. Takahashi, J. H. Greenberg, and A. G. Yodh, "In vivo cerebrovascular measurement combining diffuse near-infrared absorption and correlation spectroscopies," Phys. Med. Biol. 46, 2053-2065 (2001).
  3. G. Zhang, A. Katz, R. R. Alfano, A. D. Kofinas, P. G. Stubblefield, W. Rosenfeld, D. Beyer, D. Maulik, and M. R. Stankovic, "Brain perfusion monitoring with frequency-domain and continuous-wave near-infrared spectroscopy: a cross-correlation study in newborn piglets," Phys. Med. Biol. 45, 3143-3158 (2000).
  4. B. Chance, E. Anday, S. Nioka, S. Zhou, L. Hong, K. Worden, C. Li, T. Murray, Y. Ovetsky, D. Pidikiti, and R. Thomas, "A novel method for fast imaging of brain function, noninvasively, with light," Opt. Express 2, 411-423 (1998).
  5. D. A. Boas, T. Gaudette, G. Strangman, X. Cheng, J. J. A. Marota, and J. B. Mandeville, "The accuracy of near infrared spectroscopy and imaging during focal changes in cerebral hemodynamics," Neuroimage 13, 76-90 (2001).
  6. A. G. Yodh and D. A. Boas, "Functional imaging with diffusing light," in Biomedical Photonics Handbook, T.Vo-Dinh, ed. (CRC, 2003).
  7. S. Srinivasan, B. W. Pogue, B. Brooksby, S. Jiang, H. Dehghani, C. Kogel, S. P. Poplack, and K. D. Paulsen, "Near-infrared characterization of breast tumors in vivo using spectrally constrained reconstruction," Technol. Cancer Res. Treat. 4, 513-526 (2005).
  8. S. Srinivasan, B. W. Pogue, H. Dehghani, S. Jiang, X. Song, and K. D. Paulsen, "Improved quantification of small objects in near-infrared diffuse optical tomography," J. Biomed. Opt. 9, 1161-1171 (2004).
  9. C. Schmitz, D. Klemer, R. Hardin, M. Katz, Y. Pei, H. Graber, M. Levin, R. Levina, N. Franco, W. Solomon, and R. Barbour, "Design and implementation of dynamic near-infrared optical tomographic imaging instrumentation for simultaneous dual-breast measurements," Appl. Opt. 44, 2140-2153 (2005).
  10. Y. Xu, X. Gu, L. Fajardo, and H. Jiang, "In vivo breast imaging with diffuse optical tomography based on higher-order diffusion equations," Appl. Opt. 42, 3163-3169 (2003).
  11. A. Godavarty, A. B. Thompson, R. Roy, M. Gurfinkel, M. J. Eppstein, C. Zhang, and E. M. Sevick-Muraka, "Diagnostic of breast cancer using fluorescence-enhanced optical tomography: phantom studies," J. Biomed. Opt. 9, 488-496 (2004).
  12. A. Y. Bluestone, M. Stewart, J. Lasker, G. S. Abdoulaev, and A. H. Hielscher, "Three-dimensional optical tomographic brain imaging in small animals, part 1: hypercapnia," J. Biomed. Opt. 9, 1046-1062 (2004).
  13. T. O. McBride, B. W. Pogue, S. Jiang, U. L. Österberg, and K. D. Paulsen, "Initial studies of in vivo absorbing and scattering heterogeneity in near-infrared tomographic breast imaging," Opt. Lett. 26, 822-824 (2001).
  14. B. Chance, "High sensitivity and specificity in human breast cancer detection with near-infrared imaging," in Biomedical Topical Meetings, Postconference Digest, Vol. 71, OSA Trends in Optics and Photonics Series (Optical Society of America, 2002), pp. 450-455.
  15. S. R. Arridge and J. C. Hebden, "Optical imaging in medicine: II. Modeling and reconstruction," Phys. Med. Biol. 42, 841-853 (1997).
  16. E. M. Sevick, B. Chance, J. Leigh, S. Nioka, and M. Maris, "Quantitation of time- and frequency-resolved optical spectra for the determination of tissue oxygenation," Anal. Biochem. 195, 330-351 (1991).
  17. A. H. Hielscher, A. D. Klose, and K. M. Hanson, "Gradient-based iterative reconstruction scheme for time-resolved optical tomography," IEEE Trans. Med. Imaging 18, 262-271 (1999).
  18. J. C. Schotland, "Continuous-wave diffusion imaging," J. Opt. Soc. Am. A 14, 275-279 (1997).
  19. M. A. O'Leary, D. A. Boas, B. Chance, and A. G. Yodh, "Experimental images of heterogeneous turbid media by frequency-domain diffusion-photon tomography," Opt. Lett. 20, 426-428 (1995).
  20. Y. A. Gryazin, M. V. Klibanov, and T. R. Lucas, "Numerical solution of a subsurface imaging inverse problem," SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 62, 664-683 (2001).
  21. R. L. Barbour, H. L. Graber, J. W. Chang, S. L. S. Barbour, P. C. Koo, and R. Aronson, "MRI-guided optical tomography: prospects and computation for a new imaging method," IEEE Comput. Sci. Eng. 2, 63-77 (1995).
  22. G. S. Abdoulaev, K. Ren, and A. H. Hielscher, "Optical tomography as a PDE-constrained optimization problem," Inverse Probl. 21, 1507-1530 (2005).
  23. Y. Pey, H. L. Graber, and R. L. Barbour, "Influence of systematic errors in reference states on image quality and on stability of derived information for DC optical imaging," Appl. Opt. 40, 5755-5769 (2001).
  24. M. V. Klibanov and A. Timonov, Carleman Estimates for Coefficient Inverse Problems and Numerical Applications (Brill Academic, 2004).

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