Backpropagation in turbid media

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 16, Issue 6, 1999, Pages 1254-1265

  Matson, Charles L ^a   Liu, Hanli ^b  

^a AIR FORCE RESEARCH LABORATORY   (United States)

^b UNIVERSITY OF TEXAS AT ARLINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BACKPROPAGATION; COMPUTATIONAL GEOMETRY; COMPUTATIONAL METHODS; COMPUTER SIMULATION; DIFFRACTION; FAST FOURIER TRANSFORMS; IMAGE ANALYSIS; IMAGE RECONSTRUCTION; INTEGRAL EQUATIONS; LEARNING ALGORITHMS; THREE DIMENSIONAL COMPUTER GRAPHICS;

FAST-FOURIER-DOMAIN NONITERATIVE ALGEBRAIC METHODS; IMAGE ANALYSIS; SINGLE-VIEW GEOMETRY;

LIGHT PROPAGATION;

EID: 0032615181     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.16.001254     Document Type: Article

References (33)

1. H. B. Jiang, K. D. Paulsen, U. L. Osterberg, and M. S. Patterson, “Frequency-domain optical image reconstruction in turbid media: an experimental study of single-target detectability,” Appl. Opt. 36, 52–63 (1997).
2. H. B. Jiang, K. D. Paulsen, U. L. Osterberg, and M. S. Patterson, “Frequency-domain optical image reconstruction in turbid media: an experimental study of single-target detectability: erratum,” Appl. Opt. 36, 2995–2996 (1997).
3. M. A. O’Leary, D. A. Boas, B. Chance, and A. G. Yodh, “Experimental images of heterogeneous turbid media by frequency-domain diffusing-photon tomography,” Opt. Lett. 20, 426–428 (1995).
4. S. Fantini, S. A. Walker, M. A. Franceschini, M. Kaschke, P. M. Schlag, and K. T. Moesta, “Assessment of the size, position, and optical properties of breast tumors in vivo by noninvasive optical methods,” Appl. Opt. 37, 1982–1989 (1998).
5. S. A. Walker, S. Fantini, and E. Gratton, “Image reconstruction by backprojection from frequency-domain optical measurements in highly scattering media,” Appl. Opt. 36, 170–179 (1997).
6. W. Zhu, Y. Wang, Y. Yao, J. Chang, H. L. Graber, and R. L. Barbour, “Iterative total least-squares image reconstruction algorithm for optical tomography by the conjugate gradient method,” J. Opt. Soc. Am. A 14, 799–807 (1997).
7. W. Zhu, Y. Wang, Y. Deng, Y. Yao, and R. L. Barbour, “A wavelet-based multiresolution regularized least squares reconstruction approach for optical tomography,” IEEE Trans. Med. Imaging 16, 210–217 (1997).
8. Advances in Optical Imaging and Photon Migration, J. G. Fujimoto and M. S. Patterson, eds., Vol. 21 of 1998 OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1998).
9. A. J. Devaney, “Reconstructive tomography with diffracting wavefields,” Inverse Probl. 2, 161–183 (1986).
10. C. L. Matson, “A diffraction tomographic model of the forward problem using diffuse photon density waves,” Opt. Express 1, 6–11 (1997).
11. C. L. Matson and H. Liu, “Analysis of the forward problem with diffuse photon density waves in turbid media by use of a diffraction tomography model,” J. Opt. Soc. Am. A 16, 455–466 (1999).
12. C. L. Matson, N. Clark, L. McMackin, and J. S. Fender, “Three-dimensional tumor localization in thick tissue with the use of diffuse photon-density waves,” Appl. Opt. 36, 214–220 (1997).
13. X. D. Li, T. Durduran, A. G. Yodh, B. Chance, and D. N. Pattanayak, “Diffraction tomography for biochemical imaging with diffuse-photon density waves,” Opt. Lett. 22, 573–575 (1997).
14. X. D. Li, T. Durduran, A. G. Yodh, B. Chance, and D. N. Pattanayak, “Diffraction tomography for biomedical imaging with diffuse photon density waves: errata,” Opt. Lett. 22, 1198 (1997).
15. X. Cheng and D. A. Boas, “Diffuse optical reflection tomography with continuous-wave illumination,” Opt. Express 3, 118–123 (1998).
16. A. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (Institute of Electrical and Electronics Engineers, Piscataway, N.J., 1998).
17. S. J. Norton and Tuan Vo-Dinh, “Diffraction tomographic imaging with photon density waves: an explicit solution,” J. Opt. Soc. Am. A 15, 2670–2677 (1998).
18. M. A. O’Leary, D. A. Boas, B. Chance, and A. G. Yodh, “Simultaneous scattering and absorption images of heterogeneous media using diffuse waves within the Rytov approximation,” in Optical Tomography, Photon Migration, and Spectroscopy of Tissue and Model Media: Theory, Human Studies, and Instrumentation, B. Chance and R. R. Alfano, eds., Proc. SPIE 2389, 320–327 (1995).
19. C. L. Matson, “Fourier spectrum extrapolation and enhancement using support constraints,” IEEE Trans. Signal Process. 42, 156–163 (1994).
20. E. L. Kosarev, “On the limit of superresolution while restoring signals,” Radiotekh. Elektron. 35, 68–87 (1990).
21. P. M. Morse and H. Feshbach, Methods of Theoretical Physics, Vol. 1 (McGraw-Hill, New York, 1953).
22. G. Barton, Elements of Green’s Functions and Propagation (Oxford U. Press, Oxford, UK, 1989).
23. A. Baños, Jr., Dipole Radiation in the Presence of a Conducting Half-Space (Pergamon, Oxford, UK, 1966).
24. A. Schatzberg, A. J. Devaney, and A. J. Witten, “Estimating target location from scattered field data,” Signal Process. 40, 227–237 (1994).
25. A. J. Devaney and G. A. Tsihrintzis, “Maximum likelihood estimation of object location in diffraction tomography, part II: strongly scattering objects,” IEEE Trans. Signal Process. 39, 1466–1470 (1991).
26. G. A. Tsihrintzis and A. J. Devaney, “Maximum likelihood estimation of object location in diffraction tomography,” IEEE Trans. Signal Process. 39, 672–682 (1991).
27. The Photon Migration Imaging (PMI) software was developed by D. A. Boas, M. A. O’Leary, X. Li, B. Chance, A. G. Yodh, M. A. Ostermeyer, and S. L. Jacques. It is available on the Web or from David Boas, whose e-mail address is dboas@nmr.mgh.harvard.edu.
28. V. G. Peters, D. R. Wyman, M. S. Patterson, and G. L. Frank, “Optical properties of normal and diseased human breast tissues in the visible and near infrared,” Phys. Med. Biol. 35, 1317–1334 (1990).
29. H. Liu, C. L. Matson, K. Lau, and R. R. Mapakshi, “Experimental validation of a backpropagation algorithm for three-dimensional breast tumor localization,” submitted to IEEE Sel. Top. Quantum Electron.
30. H. Stark, “Sampling theorems in polar coordinates,” J. Opt. Soc. Am. 69, 1519–1525 (1979).
31. H. Stark and M. Wengrovitz, “Comments and corrections on the use of polar sampling theorems in CT,” IEEE Trans. Acoust., Speech, Signal Process. ASSP-31, 1329–1331 (1983).
32. C. L. Matson, E. P. Magee, and D. E. Holland, “Reflective tomography using a short-pulselength laser: system analysis for artificial satellite imaging,” Opt. Eng. 34, 2811–2820 (1995).
33. A. J. Devaney, “The limited-view problem in diffraction tomography,” Inverse Probl. 5, 501–521 (1989).