Fourier-laplace structure of the inverse scattering problem for the radiative transport equation

Inverse Problems and Imaging

Volumn 1, Issue 1, 2007, Pages 181-188

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

^a UNIVERSITY OF PENNSYLVANIA   (United States)

^b UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

Inverse scattering; Radiative transport

Indexed keywords

EID: 84894400330     PISSN: 19308337     EISSN: 19308345     Source Type: Journal    
DOI: 10.3934/ipi.2007.1.181     Document Type: Article

References (9)

1. S. Arridge, Optical tomography in medical imaging, Inv. Prob. 15(1999), R41.
2. J.C. Schotland, Continuous wave diffusion imaging, J. Opt. Soc. Am. A 14 (1997), 275.
3. V.A. Markel and J.C. Schotland, The inverse problem in optical diffusion tomography II role of boundary conditions, J. Opt. Soc. Am A., 19(2002), 558-566.
4. G.Y. Panasyuk, J.C. Schotland and V.A. Markel, Radiative transport equation in rotated reference frames, J. Phys. A 39(2006), 115.
5. R. Schulz, J. Ripoll and V. Ntziachristos, Noncontact optical tomography of turbid media, Opt. Lett. 28(2003), 1701.
6. G. Turner, G. Zacharakis, A. Soubret, J. Ripoll, and V. Ntziachristos, Complete-angle projection diffuse optical tomography by use of early photons, Opt. Lett. 30(2005), 409.
7. P. Stefanov, Inverse problems in transport theory, MSRI Publications 47(2003), 111.
8. A. Ishimaru, “Wave Propagation and Scattering in Random Media,” Wiley-IEEE Press, New York 1999.
9. V.A. Markel and J.C. Schotland, Symmetries, inversion formulas and image reconstruction for optical tomography, Phys. Rev. E 70(2004), 056616.