Symmetries, inversion formulas, and image reconstruction for optical tomography

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 70, Issue 5, 2004, Pages 19-

  Markel, Vadim A ^a   Schotland, John C ^b  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

^b UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; DATA REDUCTION; DIFFUSION; FOURIER TRANSFORMS; GREEN'S FUNCTION; NATURAL FREQUENCIES; NONLINEAR EQUATIONS; OPTICAL FIBERS; SCATTERING; TOMOGRAPHY;

DIFFUSION EQUATIONS (DE); OPTICAL DIFFUSION TOMOGRAPHY (ODT); RADIATIVE TRANSPORT EQUATIONS (RTE); RECONSTRUCTION ALGORITHMS;

IMAGE RECONSTRUCTION;

ALGORITHM; ARTICLE; BIOLOGICAL MODEL; COMPUTER ASSISTED DIAGNOSIS; EVALUATION; IMAGE ENHANCEMENT; METHODOLOGY; OPTICAL TOMOGRAPHY; RADIATION SCATTERING; VALIDATION STUDY;

ALGORITHMS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; MODELS, BIOLOGICAL; SCATTERING, RADIATION; TOMOGRAPHY, OPTICAL;

EID: 41349122849     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.056616     Document Type: Article

References (22)

1. Medical Optical Tomography: Functional Imaging and Monitoring, edited by G. Mueller (SPIE, Bellingham, WA, 1993).
2. Proceedings of Optical Tomography and Spectroscopy of Tissue, edited by B. Chance and R. Alfano (SPIE, Bellingham, WA, 1995).
3. Proceedings of Optical Tomography and Spectroscopy of Tissue II, edited by B. Chance and R. Alfano (SPIE, Bellingham, WA, 1997).
4. Proceedings of Optical Tomography and Spectroscopy of Tissue III, edited by B. Chance, R. Alfano, and B. Tromberg (SPIE, Bellingham, WA, 1999).
5. Proceedings of Optical Tomography and Spectroscopy of Tissue, edited by B. Chance, R. Alfano, B. Tromberg, M. Tamura, and E. M. Sevick-Muraca (SPIE, Bellingham, WA, 2001).
6. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, San Diego, 1978).
7. M. C. W. van Rossum and T. M. Nieuwenhuizen, Rev. Mod. Phys.RMPHAT0034-686110.1103/RevModPhys.71.313 71, 313 (1999).
8. S. R. Arridge, Inverse Probl.INPEEY0266-561110.1088/0266-5611/15/2/022 15, R41 (1999).
9. J. Schotland and J. Leigh, FASEB J.FAJOEC0892-6638 61, 446 (1992).
10. J. C. Schotland and V. A. Markel, J. Opt. Soc. Am. AJOAOD60740-3232 18, 2767 (2001).10.1364/JOSAA.18.002767
11. V. A. Markel and J. C. Schotland, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.64.035601 64, 035601(R) (2001).
12. V. A. Markel and J. C. Schotland, Appl. Phys. Lett.APPLAB0003-695110.1063/1.1495543 81, 1180 (2002).
13. V. A. Markel and J. C. Schotland, Opt. Lett.OPLEDP0146-9592 27, 1123 (2002).10.1364/OL.27.001123
14. V. A. Markel and J. C. Schotland, J. Opt. Soc. Am. AJOAOD60740-3232 20, 890 (2003).10.1364/JOSAA.20.000890
15. K. M. Case and P. F. Zweifel, Linear Transport Theory (Addison-Wesley, Reading, MA, 1967).
16. R. Aronson, J. Opt. Soc. Am. AJOAOD60740-3232 12, 2532 (1995).10.1364/JOSAA.12.002532
17. M. V. Berry and I. C. Percival, Opt. ActaOPACAT0030-3909 33, 577 (1986).
18. In Sec.s4 we will also use a cylindical coordinate system in which (Formula presented) where (Formula presented), (Formula presented) and (Formula presented) is not transformed.
19. P. S. Carney, V. A. Markel, and J. C. Schotland, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.86.5874 86, 5874 (2001).
20. M. Xu, M. Lax, and R. R. Alfano, J. Opt. Soc. Am. AJOAOD60740-3232 18, 1535 (2001).10.1364/JOSAA.18.001535
21. V. A. Markel and J. C. Schotland, J. Opt. Soc. Am. AJOAOD60740-3232 19, 558 (2002).10.1364/JOSAA.19.000558
22. L. A. Apresyan and Y. A. Kravtsov, Radiation Transfer: Statistical and Wave Aspects (Gordon and Breach, Amsterdam, 1996).