B. W. Pogue and M. S. Patterson, “Forward and inverse calculations for 3-D frequency-domain diffuse optical tomography,” 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, 328–339 (1995).

[CrossRef]

Y. Yao, Y. Wang, Y. Pei, W. Zhu, and R. L. Barbour, “Simultaneous reconstruction of absorption and scattering distributions in turbid media using a Born iterative method,” in Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications, R. Barbour, M. Carlin, and M. Fiddy, eds., Proc. SPIE 2570, 96–107 (1995).

[CrossRef]

Y. Yao, Y. Wang, Y. Pei, W. Zhu, J. Hu, and R. L. Barbour, “Frequency domain optical tomography in human tissue,” in Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications, R. Barbour, M. Carvlin, and M. Fiddy, eds., Proc. SPIE 2570, 254–266 (1995).

[CrossRef]

M. A. O’Leary, D. A. Boas, B. Chance, and A. G. Yodh, “Simultaneous scattering and absorption images of heterogeneous media using diffusive waves with the Rytov approximation,”B. Chance and R. R. Alfano, eds. in Optical Tomography: Photon Migration, and Spectroscopy of Tissue and Model Media: Theory, Human Studies, and Instrumentation, Proc. SPIE 2389, 320–327 (1995).

[CrossRef]

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 (1995).

D. A. Boas, M. A. O’Leary, B. Chance, and A. G. Yodh, “Scattering of diffuse photon density waves by spherical inhomogeneities within turbid media: analytic solution and applications,” Proc. Natl. Acad. Sci. USA 91, 4887–4891 (1994).

[CrossRef]

J. Fishkin and E. Gratton, “Propagation of photon-density waves in strongly scattering media containing an absorbing semi-infinite plane bounded by a straight edge,” J. Opt. Soc. Am. A 10, 127–140 (1993).

[CrossRef]
[PubMed]

B. J. Tromberg, L. O. Svaasand, T. T. Tsay, and R. C. Haskell, “Properties of photon density waves in multiple-scattering media,” Appl. Opt. 32, 607–616 (1993).

[CrossRef]
[PubMed]

S. A. Arridge, M. Schweiger, M. Hiraoka, and D. T. Delay, “Performance of an iterative reconstruction algorithm for near infrared absorption and scatter imaging,” in Photon Migration, and Imaging in Random Medium and Tissues, Proc. SPIE 1888, 360–371 (1993).

[CrossRef]

S. A. Arridge, M. Schweiger, M. Hiraoka, and D. T. Delay, “A finite element approach for modeling photon transport in tissue,” Med. Phys. 20, 299–309 (1993).

[CrossRef]
[PubMed]

M. Moghaddadam and W. C. Chew, “Nonlinear two-dimensional velocity profile inversion using time-domain data,” IEEE Trans. Geosci. Remote Sens. 30, 146–156 (1992).

[CrossRef]

N. Joachimowicz, C. Pichot, and J. P. Hugonin, “Inverse scattering: an iterative numerical method for electromagnetic imaging,” IEEE Trans. Antennas Propag. 39, 1742–1752 (1991).

[CrossRef]

S. R. Arridge, P. van der Zee, M. Cope, and D. T. Delpy, “Reconstruction methods for infra-red absorption imaging,” in Time-Resolved Spectroscopy and Imaging of Tissues, B. Chance and A. Katzir, eds., Proc. SPIE 1431, 204–215 (1991).

[CrossRef]

E. M. Sevick and B. Chance, “Photon migration in a model of the head measured using time- and frequency-domain techniques: potentials of spectroscopy and imaging,” in Time-Resolved Spectroscopy and Imaging of Tissues, B. Chance and A. Katzir, eds., Proc. SPIE 1431, 84–96 (1991).

[CrossRef]

R. L. Barbour, H. L. Graber, R. Aronson, and J. Lubowsky, “Imaging of subsurface regions of random media by remote sensing,” in Time-resolved Spectroscopy and Imaging of Tissues, B. Chance, ed., Proc. SPIE 1431, 192–203 (1991).

[CrossRef]

J. R. Singer, F. A. Grunbaum, P. Kohn, and J. P. Zubelli, “Image reconstruction of the interior of bodies that diffuse radiation,” Science 248, 990–993 (1990).

[CrossRef]
[PubMed]

W. C. Chew and Y. M. Wang, “Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method,” IEEE Trans. Med. Imaging 9, 218–225 (1990).

[CrossRef]
[PubMed]

J. C. Adams, “MUDPACK: multigrid portable FORTRAN software for the efficient solution of linear elliptic partial differential equation,” Appl. Math. Comput. 34, 113–146 (1989).

[CrossRef]

R. E. Alcouffe, A. Brandt, J. E. Dendy, and J. W. Painter, “The multi-grid method for the diffusion equation with strongly discontinuous coefficients,” SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. 2, 430–454 (1981).

[CrossRef]

J. C. Adams, “MUDPACK: multigrid portable FORTRAN software for the efficient solution of linear elliptic partial differential equation,” Appl. Math. Comput. 34, 113–146 (1989).

[CrossRef]

R. E. Alcouffe, A. Brandt, J. E. Dendy, and J. W. Painter, “The multi-grid method for the diffusion equation with strongly discontinuous coefficients,” SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. 2, 430–454 (1981).

[CrossRef]

R. L. Barbour, H. L. Graber, R. Aronson, and J. Lubowsky, “Imaging of subsurface regions of random media by remote sensing,” in Time-resolved Spectroscopy and Imaging of Tissues, B. Chance, ed., Proc. SPIE 1431, 192–203 (1991).

[CrossRef]

S. A. Arridge, M. Schweiger, M. Hiraoka, and D. T. Delay, “Performance of an iterative reconstruction algorithm for near infrared absorption and scatter imaging,” in Photon Migration, and Imaging in Random Medium and Tissues, Proc. SPIE 1888, 360–371 (1993).

[CrossRef]

S. A. Arridge, M. Schweiger, M. Hiraoka, and D. T. Delay, “A finite element approach for modeling photon transport in tissue,” Med. Phys. 20, 299–309 (1993).

[CrossRef]
[PubMed]

S. R. Arridge, P. van der Zee, M. Cope, and D. T. Delpy, “Reconstruction methods for infra-red absorption imaging,” in Time-Resolved Spectroscopy and Imaging of Tissues, B. Chance and A. Katzir, eds., Proc. SPIE 1431, 204–215 (1991).

[CrossRef]

Y. Q. Yao, R. L. Barbour, Y. Wang, H. L. Graber, and J. W. Chang, “Sensitivity studies for imaging a spherical object embedded in a spherically symmetric, two-layer turbid medium with photon-density waves,” Appl. Opt. 35, 735–751 (1996).

[CrossRef]
[PubMed]

Y. Yao, Y. Wang, Y. Pei, W. Zhu, J. Hu, and R. L. Barbour, “Frequency domain optical tomography in human tissue,” in Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications, R. Barbour, M. Carvlin, and M. Fiddy, eds., Proc. SPIE 2570, 254–266 (1995).

[CrossRef]

Y. Yao, Y. Wang, Y. Pei, W. Zhu, and R. L. Barbour, “Simultaneous reconstruction of absorption and scattering distributions in turbid media using a Born iterative method,” in Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications, R. Barbour, M. Carlin, and M. Fiddy, eds., Proc. SPIE 2570, 96–107 (1995).

[CrossRef]

R. L. Barbour, H. L. Graber, R. Aronson, and J. Lubowsky, “Imaging of subsurface regions of random media by remote sensing,” in Time-resolved Spectroscopy and Imaging of Tissues, B. Chance, ed., Proc. SPIE 1431, 192–203 (1991).

[CrossRef]

M. A. O’Leary, D. A. Boas, B. Chance, and A. G. Yodh, “Simultaneous scattering and absorption images of heterogeneous media using diffusive waves with the Rytov approximation,”B. Chance and R. R. Alfano, eds. in Optical Tomography: Photon Migration, and Spectroscopy of Tissue and Model Media: Theory, Human Studies, and Instrumentation, Proc. SPIE 2389, 320–327 (1995).

[CrossRef]

D. A. Boas, M. A. O’Leary, B. Chance, and A. G. Yodh, “Scattering of diffuse photon density waves by spherical inhomogeneities within turbid media: analytic solution and applications,” Proc. Natl. Acad. Sci. USA 91, 4887–4891 (1994).

[CrossRef]

R. E. Alcouffe, A. Brandt, J. E. Dendy, and J. W. Painter, “The multi-grid method for the diffusion equation with strongly discontinuous coefficients,” SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. 2, 430–454 (1981).

[CrossRef]

M. A. O’Leary, D. A. Boas, B. Chance, and A. G. Yodh, “Simultaneous scattering and absorption images of heterogeneous media using diffusive waves with the Rytov approximation,”B. Chance and R. R. Alfano, eds. in Optical Tomography: Photon Migration, and Spectroscopy of Tissue and Model Media: Theory, Human Studies, and Instrumentation, Proc. SPIE 2389, 320–327 (1995).

[CrossRef]

D. A. Boas, M. A. O’Leary, B. Chance, and A. G. Yodh, “Scattering of diffuse photon density waves by spherical inhomogeneities within turbid media: analytic solution and applications,” Proc. Natl. Acad. Sci. USA 91, 4887–4891 (1994).

[CrossRef]

E. M. Sevick and B. Chance, “Photon migration in a model of the head measured using time- and frequency-domain techniques: potentials of spectroscopy and imaging,” in Time-Resolved Spectroscopy and Imaging of Tissues, B. Chance and A. Katzir, eds., Proc. SPIE 1431, 84–96 (1991).

[CrossRef]

M. Moghaddadam and W. C. Chew, “Nonlinear two-dimensional velocity profile inversion using time-domain data,” IEEE Trans. Geosci. Remote Sens. 30, 146–156 (1992).

[CrossRef]

W. C. Chew and Y. M. Wang, “Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method,” IEEE Trans. Med. Imaging 9, 218–225 (1990).

[CrossRef]
[PubMed]

S. R. Arridge, P. van der Zee, M. Cope, and D. T. Delpy, “Reconstruction methods for infra-red absorption imaging,” in Time-Resolved Spectroscopy and Imaging of Tissues, B. Chance and A. Katzir, eds., Proc. SPIE 1431, 204–215 (1991).

[CrossRef]

S. A. Arridge, M. Schweiger, M. Hiraoka, and D. T. Delay, “A finite element approach for modeling photon transport in tissue,” Med. Phys. 20, 299–309 (1993).

[CrossRef]
[PubMed]

S. A. Arridge, M. Schweiger, M. Hiraoka, and D. T. Delay, “Performance of an iterative reconstruction algorithm for near infrared absorption and scatter imaging,” in Photon Migration, and Imaging in Random Medium and Tissues, Proc. SPIE 1888, 360–371 (1993).

[CrossRef]

S. R. Arridge, P. van der Zee, M. Cope, and D. T. Delpy, “Reconstruction methods for infra-red absorption imaging,” in Time-Resolved Spectroscopy and Imaging of Tissues, B. Chance and A. Katzir, eds., Proc. SPIE 1431, 204–215 (1991).

[CrossRef]

R. E. Alcouffe, A. Brandt, J. E. Dendy, and J. W. Painter, “The multi-grid method for the diffusion equation with strongly discontinuous coefficients,” SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. 2, 430–454 (1981).

[CrossRef]

Y. Q. Yao, R. L. Barbour, Y. Wang, H. L. Graber, and J. W. Chang, “Sensitivity studies for imaging a spherical object embedded in a spherically symmetric, two-layer turbid medium with photon-density waves,” Appl. Opt. 35, 735–751 (1996).

[CrossRef]
[PubMed]

R. L. Barbour, H. L. Graber, R. Aronson, and J. Lubowsky, “Imaging of subsurface regions of random media by remote sensing,” in Time-resolved Spectroscopy and Imaging of Tissues, B. Chance, ed., Proc. SPIE 1431, 192–203 (1991).

[CrossRef]

J. R. Singer, F. A. Grunbaum, P. Kohn, and J. P. Zubelli, “Image reconstruction of the interior of bodies that diffuse radiation,” Science 248, 990–993 (1990).

[CrossRef]
[PubMed]

S. A. Arridge, M. Schweiger, M. Hiraoka, and D. T. Delay, “Performance of an iterative reconstruction algorithm for near infrared absorption and scatter imaging,” in Photon Migration, and Imaging in Random Medium and Tissues, Proc. SPIE 1888, 360–371 (1993).

[CrossRef]

S. A. Arridge, M. Schweiger, M. Hiraoka, and D. T. Delay, “A finite element approach for modeling photon transport in tissue,” Med. Phys. 20, 299–309 (1993).

[CrossRef]
[PubMed]

Y. Yao, Y. Wang, Y. Pei, W. Zhu, J. Hu, and R. L. Barbour, “Frequency domain optical tomography in human tissue,” in Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications, R. Barbour, M. Carvlin, and M. Fiddy, eds., Proc. SPIE 2570, 254–266 (1995).

[CrossRef]

N. Joachimowicz, C. Pichot, and J. P. Hugonin, “Inverse scattering: an iterative numerical method for electromagnetic imaging,” IEEE Trans. Antennas Propag. 39, 1742–1752 (1991).

[CrossRef]

N. Joachimowicz, C. Pichot, and J. P. Hugonin, “Inverse scattering: an iterative numerical method for electromagnetic imaging,” IEEE Trans. Antennas Propag. 39, 1742–1752 (1991).

[CrossRef]

J. R. Singer, F. A. Grunbaum, P. Kohn, and J. P. Zubelli, “Image reconstruction of the interior of bodies that diffuse radiation,” Science 248, 990–993 (1990).

[CrossRef]
[PubMed]

R. L. Barbour, H. L. Graber, R. Aronson, and J. Lubowsky, “Imaging of subsurface regions of random media by remote sensing,” in Time-resolved Spectroscopy and Imaging of Tissues, B. Chance, ed., Proc. SPIE 1431, 192–203 (1991).

[CrossRef]

M. Moghaddadam and W. C. Chew, “Nonlinear two-dimensional velocity profile inversion using time-domain data,” IEEE Trans. Geosci. Remote Sens. 30, 146–156 (1992).

[CrossRef]

M. A. O’Leary, D. A. Boas, B. Chance, and A. G. Yodh, “Simultaneous scattering and absorption images of heterogeneous media using diffusive waves with the Rytov approximation,”B. Chance and R. R. Alfano, eds. in Optical Tomography: Photon Migration, and Spectroscopy of Tissue and Model Media: Theory, Human Studies, and Instrumentation, Proc. SPIE 2389, 320–327 (1995).

[CrossRef]

D. A. Boas, M. A. O’Leary, B. Chance, and A. G. Yodh, “Scattering of diffuse photon density waves by spherical inhomogeneities within turbid media: analytic solution and applications,” Proc. Natl. Acad. Sci. USA 91, 4887–4891 (1994).

[CrossRef]

R. E. Alcouffe, A. Brandt, J. E. Dendy, and J. W. Painter, “The multi-grid method for the diffusion equation with strongly discontinuous coefficients,” SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. 2, 430–454 (1981).

[CrossRef]

B. W. Pogue and M. S. Patterson, “Forward and inverse calculations for 3-D frequency-domain diffuse optical tomography,” 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, 328–339 (1995).

[CrossRef]

Y. Yao, Y. Wang, Y. Pei, W. Zhu, J. Hu, and R. L. Barbour, “Frequency domain optical tomography in human tissue,” in Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications, R. Barbour, M. Carvlin, and M. Fiddy, eds., Proc. SPIE 2570, 254–266 (1995).

[CrossRef]

Y. Yao, Y. Wang, Y. Pei, W. Zhu, and R. L. Barbour, “Simultaneous reconstruction of absorption and scattering distributions in turbid media using a Born iterative method,” in Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications, R. Barbour, M. Carlin, and M. Fiddy, eds., Proc. SPIE 2570, 96–107 (1995).

[CrossRef]

N. Joachimowicz, C. Pichot, and J. P. Hugonin, “Inverse scattering: an iterative numerical method for electromagnetic imaging,” IEEE Trans. Antennas Propag. 39, 1742–1752 (1991).

[CrossRef]

B. W. Pogue and M. S. Patterson, “Forward and inverse calculations for 3-D frequency-domain diffuse optical tomography,” 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, 328–339 (1995).

[CrossRef]

S. A. Arridge, M. Schweiger, M. Hiraoka, and D. T. Delay, “Performance of an iterative reconstruction algorithm for near infrared absorption and scatter imaging,” in Photon Migration, and Imaging in Random Medium and Tissues, Proc. SPIE 1888, 360–371 (1993).

[CrossRef]

S. A. Arridge, M. Schweiger, M. Hiraoka, and D. T. Delay, “A finite element approach for modeling photon transport in tissue,” Med. Phys. 20, 299–309 (1993).

[CrossRef]
[PubMed]

E. M. Sevick and B. Chance, “Photon migration in a model of the head measured using time- and frequency-domain techniques: potentials of spectroscopy and imaging,” in Time-Resolved Spectroscopy and Imaging of Tissues, B. Chance and A. Katzir, eds., Proc. SPIE 1431, 84–96 (1991).

[CrossRef]

J. R. Singer, F. A. Grunbaum, P. Kohn, and J. P. Zubelli, “Image reconstruction of the interior of bodies that diffuse radiation,” Science 248, 990–993 (1990).

[CrossRef]
[PubMed]

S. R. Arridge, P. van der Zee, M. Cope, and D. T. Delpy, “Reconstruction methods for infra-red absorption imaging,” in Time-Resolved Spectroscopy and Imaging of Tissues, B. Chance and A. Katzir, eds., Proc. SPIE 1431, 204–215 (1991).

[CrossRef]

Y. Q. Yao, R. L. Barbour, Y. Wang, H. L. Graber, and J. W. Chang, “Sensitivity studies for imaging a spherical object embedded in a spherically symmetric, two-layer turbid medium with photon-density waves,” Appl. Opt. 35, 735–751 (1996).

[CrossRef]
[PubMed]

Y. Yao, Y. Wang, Y. Pei, W. Zhu, J. Hu, and R. L. Barbour, “Frequency domain optical tomography in human tissue,” in Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications, R. Barbour, M. Carvlin, and M. Fiddy, eds., Proc. SPIE 2570, 254–266 (1995).

[CrossRef]

Y. Yao, Y. Wang, Y. Pei, W. Zhu, and R. L. Barbour, “Simultaneous reconstruction of absorption and scattering distributions in turbid media using a Born iterative method,” in Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications, R. Barbour, M. Carlin, and M. Fiddy, eds., Proc. SPIE 2570, 96–107 (1995).

[CrossRef]

W. C. Chew and Y. M. Wang, “Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method,” IEEE Trans. Med. Imaging 9, 218–225 (1990).

[CrossRef]
[PubMed]

Y. Yao, Y. Wang, Y. Pei, W. Zhu, and R. L. Barbour, “Simultaneous reconstruction of absorption and scattering distributions in turbid media using a Born iterative method,” in Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications, R. Barbour, M. Carlin, and M. Fiddy, eds., Proc. SPIE 2570, 96–107 (1995).

[CrossRef]

Y. Yao, Y. Wang, Y. Pei, W. Zhu, J. Hu, and R. L. Barbour, “Frequency domain optical tomography in human tissue,” in Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications, R. Barbour, M. Carvlin, and M. Fiddy, eds., Proc. SPIE 2570, 254–266 (1995).

[CrossRef]

M. A. O’Leary, D. A. Boas, B. Chance, and A. G. Yodh, “Simultaneous scattering and absorption images of heterogeneous media using diffusive waves with the Rytov approximation,”B. Chance and R. R. Alfano, eds. in Optical Tomography: Photon Migration, and Spectroscopy of Tissue and Model Media: Theory, Human Studies, and Instrumentation, Proc. SPIE 2389, 320–327 (1995).

[CrossRef]

D. A. Boas, M. A. O’Leary, B. Chance, and A. G. Yodh, “Scattering of diffuse photon density waves by spherical inhomogeneities within turbid media: analytic solution and applications,” Proc. Natl. Acad. Sci. USA 91, 4887–4891 (1994).

[CrossRef]

Y. Yao, Y. Wang, Y. Pei, W. Zhu, J. Hu, and R. L. Barbour, “Frequency domain optical tomography in human tissue,” in Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications, R. Barbour, M. Carvlin, and M. Fiddy, eds., Proc. SPIE 2570, 254–266 (1995).

[CrossRef]

Y. Yao, Y. Wang, Y. Pei, W. Zhu, and R. L. Barbour, “Simultaneous reconstruction of absorption and scattering distributions in turbid media using a Born iterative method,” in Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications, R. Barbour, M. Carlin, and M. Fiddy, eds., Proc. SPIE 2570, 96–107 (1995).

[CrossRef]

J. R. Singer, F. A. Grunbaum, P. Kohn, and J. P. Zubelli, “Image reconstruction of the interior of bodies that diffuse radiation,” Science 248, 990–993 (1990).

[CrossRef]
[PubMed]

J. C. Adams, “MUDPACK: multigrid portable FORTRAN software for the efficient solution of linear elliptic partial differential equation,” Appl. Math. Comput. 34, 113–146 (1989).

[CrossRef]

B. J. Tromberg, L. O. Svaasand, T. T. Tsay, and R. C. Haskell, “Properties of photon density waves in multiple-scattering media,” Appl. Opt. 32, 607–616 (1993).

[CrossRef]
[PubMed]

Y. Q. Yao, R. L. Barbour, Y. Wang, H. L. Graber, and J. W. Chang, “Sensitivity studies for imaging a spherical object embedded in a spherically symmetric, two-layer turbid medium with photon-density waves,” Appl. Opt. 35, 735–751 (1996).

[CrossRef]
[PubMed]

N. Joachimowicz, C. Pichot, and J. P. Hugonin, “Inverse scattering: an iterative numerical method for electromagnetic imaging,” IEEE Trans. Antennas Propag. 39, 1742–1752 (1991).

[CrossRef]

M. Moghaddadam and W. C. Chew, “Nonlinear two-dimensional velocity profile inversion using time-domain data,” IEEE Trans. Geosci. Remote Sens. 30, 146–156 (1992).

[CrossRef]

W. C. Chew and Y. M. Wang, “Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method,” IEEE Trans. Med. Imaging 9, 218–225 (1990).

[CrossRef]
[PubMed]

S. A. Arridge, M. Schweiger, M. Hiraoka, and D. T. Delay, “A finite element approach for modeling photon transport in tissue,” Med. Phys. 20, 299–309 (1993).

[CrossRef]
[PubMed]

D. A. Boas, M. A. O’Leary, B. Chance, and A. G. Yodh, “Scattering of diffuse photon density waves by spherical inhomogeneities within turbid media: analytic solution and applications,” Proc. Natl. Acad. Sci. USA 91, 4887–4891 (1994).

[CrossRef]

R. L. Barbour, H. L. Graber, R. Aronson, and J. Lubowsky, “Imaging of subsurface regions of random media by remote sensing,” in Time-resolved Spectroscopy and Imaging of Tissues, B. Chance, ed., Proc. SPIE 1431, 192–203 (1991).

[CrossRef]

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 (1995).

S. A. Arridge, M. Schweiger, M. Hiraoka, and D. T. Delay, “Performance of an iterative reconstruction algorithm for near infrared absorption and scatter imaging,” in Photon Migration, and Imaging in Random Medium and Tissues, Proc. SPIE 1888, 360–371 (1993).

[CrossRef]

B. W. Pogue and M. S. Patterson, “Forward and inverse calculations for 3-D frequency-domain diffuse optical tomography,” 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, 328–339 (1995).

[CrossRef]

Y. Yao, Y. Wang, Y. Pei, W. Zhu, and R. L. Barbour, “Simultaneous reconstruction of absorption and scattering distributions in turbid media using a Born iterative method,” in Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications, R. Barbour, M. Carlin, and M. Fiddy, eds., Proc. SPIE 2570, 96–107 (1995).

[CrossRef]

Y. Yao, Y. Wang, Y. Pei, W. Zhu, J. Hu, and R. L. Barbour, “Frequency domain optical tomography in human tissue,” in Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications, R. Barbour, M. Carvlin, and M. Fiddy, eds., Proc. SPIE 2570, 254–266 (1995).

[CrossRef]

M. A. O’Leary, D. A. Boas, B. Chance, and A. G. Yodh, “Simultaneous scattering and absorption images of heterogeneous media using diffusive waves with the Rytov approximation,”B. Chance and R. R. Alfano, eds. in Optical Tomography: Photon Migration, and Spectroscopy of Tissue and Model Media: Theory, Human Studies, and Instrumentation, Proc. SPIE 2389, 320–327 (1995).

[CrossRef]

E. M. Sevick and B. Chance, “Photon migration in a model of the head measured using time- and frequency-domain techniques: potentials of spectroscopy and imaging,” in Time-Resolved Spectroscopy and Imaging of Tissues, B. Chance and A. Katzir, eds., Proc. SPIE 1431, 84–96 (1991).

[CrossRef]

S. R. Arridge, P. van der Zee, M. Cope, and D. T. Delpy, “Reconstruction methods for infra-red absorption imaging,” in Time-Resolved Spectroscopy and Imaging of Tissues, B. Chance and A. Katzir, eds., Proc. SPIE 1431, 204–215 (1991).

[CrossRef]

J. R. Singer, F. A. Grunbaum, P. Kohn, and J. P. Zubelli, “Image reconstruction of the interior of bodies that diffuse radiation,” Science 248, 990–993 (1990).

[CrossRef]
[PubMed]

R. E. Alcouffe, A. Brandt, J. E. Dendy, and J. W. Painter, “The multi-grid method for the diffusion equation with strongly discontinuous coefficients,” SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. 2, 430–454 (1981).

[CrossRef]

R. Fulton, C. E. Ciesielski, and W. H. Schubert, “Multigrid methods for elliptic problems: a review,” Mon. Weather Rev. 114, 943–959 (1986).

W. L. Briggs, A Multigrid Tutorial (Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1987).

W. Hackbusch, Multi-Grid Methods and Applications (Springer-Verlag, New York, 1985).

A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978), Vol. 1, Chap. 9, pp. 175–190.

K. M. Case and P. F. Zweifel, Linear Transport Theory (Addison-Wesley, Reading, Mass., 1967), Chap. 8, pp. 194–231.

Y. M. Wang and W. C. Chew, “An iterative solution of the two-dimensional electromagnetic inverse scattering problem,” Int. J. Imaging Syst. Technol. 1, 100–108 (1989).

S. R. Arridge, “The forward and inverse problems in time resolved infra-red imaging,” in Medical Optical Tomography: Functional Imaging and Monitoring, G. Mueller, B. Chance, R. Alfano, S. Arridge, J. Beuthan, E. Gratton, M. Kaschke, B. Masters, S. Svanberg, and P. van der Zee, eds., Institute Series of SPIE Optical Engineering (Society of Photo-Optical Instrumentation Engineers, Bellingham, Wash., 1993), pp. 35–64.

M. A. O’Leary, D. A. Boas, B. Chance, and A. G. Yodh, “Imaging of inhomogeneous turbid media using diffuse photon density waves,” in Advances in Optical Imaging and Photon Migration, R. R. Alfano, ed., Vol. 21 of 1994 OSA Proceedings Series (Optical Society of America, Washington, D.C., 1994), pp. 106–115.

R. L. Barbour, H. L. Graber, Y. Wang, J. Chang, and R. Aronson, “A perturbation approach for optical diffusion tomography using continuous-wave and time-resolved data,” in Medical Optical Tomography: Functional Imaging and Monitoring, G. Mueller, B. Chance, R. Alfano, S. Arridge, J. Beuthan, E. Gratton, M. Kaschke, B. Masters, S. Svanberg, and P. van der Zee, eds., Institute Series of SPIE Optical Engineering (Society of Photo-Optical Instrumentation Engineers, Bellingham, Wash., 1993), pp. 87–120.

Y. Q. Yao, “Forward and inverse studies for optical image reconstructions,” Ph.D. dissertation (Polytechnic University, Brooklyn, N.Y., 1996).

A. N. Tikhonov and V. Y. Arsenin, Solutions of Ill-Posed Problem (V. H. Winston, Washington, D.C., 1977).

W. W. Zhu, Y. Wang, R. L. Barbour, H. L. Graber, and J. Chang, “Regularized progressive expansion algorithm for recovery of scattering media from time-resolved data,” in Advances in Optical Imaging and Photon Migration, R. R. Alfano, ed., Vol. 21 of 1994 OSA Proceedings Series (Optical Society of America, Washington, D.C., 1994), pp. 211–216.

R. L. Barbour, H. L. Graber, R. Aronson, and J. Lubowsky, “Model for 3-D optical imaging of tissue,” in Proceedings of the IEEE 10th Annual International Geoscience and Remote Sensing Symposium (Institute of Electrical and Electronics Engineers, New York, 1990), pp. 1395–1399.

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).

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