Optics InfoBase > Virtual Journal for Biomedical Optics > Volume 7 > Issue 11 > Page 1885
Three-dimensional Neumann-series approach to model light transport in nonuniform mediaAbhinav K. Jha, Matthew A. Kupinski, Harrison H. Barrett, Eric Clarkson, and John H. Hartman »View Author Affiliations
Abhinav K. Jha,^{1,}^{*}
Matthew A. Kupinski,^{1,}^{2}
Harrison H. Barrett,^{1,}^{2}
Eric Clarkson,^{1,}^{2}
and John H. Hartman^{3}
^{1}College of Optical Sciences, University of Arizona, Tucson, Arizona 85721, USA ^{2}Department of Radiology, University of Arizona, Tucson, Arizona 85724, USA ^{3}Department of Computer Science, University of Arizona, Tucson, Arizona 85721, USA ^{*}Corresponding author: akjha@email.arizona.edu |
JOSA A, Vol. 29, Issue 9, pp. 1885-1899 (2012)
http://dx.doi.org/10.1364/JOSAA.29.001885
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Abstract
We present the implementation, validation, and performance of a three-dimensional (3D) Neumann-series approach to model photon propagation in nonuniform media using the radiative transport equation (RTE). The RTE is implemented for nonuniform scattering media in a spherical harmonic basis for a diffuse-optical-imaging setup. The method is parallelizable and implemented on a computing system consisting of NVIDIA Tesla C2050 graphics processing units (GPUs). The GPU implementation provides a speedup of up to two orders of magnitude over non-GPU implementation, which leads to good computational efficiency for the Neumann-series method. The results using the method are compared with the results obtained using the Monte Carlo simulations for various small-geometry phantoms, and good agreement is observed. We observe that the Neumann-series approach gives accurate results in many cases where the diffusion approximation is not accurate.
© 2012 Optical Society of America
OCIS Codes
(000.3860) General : Mathematical methods in physics
(110.2990) Imaging systems : Image formation theory
(170.3660) Medical optics and biotechnology : Light propagation in tissues
(110.6955) Imaging systems : Tomographic imaging
ToC Category:
Imaging Systems
History
Original Manuscript: March 29, 2012
Revised Manuscript: June 29, 2012
Manuscript Accepted: July 2, 2012
Published: August 17, 2012
Virtual Issues
Vol. 7, Iss. 11 Virtual Journal for Biomedical Optics
Citation
Abhinav K. Jha, Matthew A. Kupinski, Harrison H. Barrett, Eric Clarkson, and John H. Hartman, "Three-dimensional Neumann-series approach to model light transport in nonuniform media," J. Opt. Soc. Am. A 29, 1885-1899 (2012)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=josaa-29-9-1885
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Boas, D. A.
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- B. F. Hutton, I. Buvat, and F. J. Beekman, “Review and current status of SPECT scatter correction,” Phys. Med. Biol. 56, R85–R112 (2011). [CrossRef]
- S. Srinivasan, B. W. Pogue, C. Carpenter, P. K. Yalavarthy, and K. Paulsen, “A boundary element approach for image-guided near-infrared absorption and scatter estimation,” Med. Phys. 34, 4545–4557 (2007). [CrossRef]
- R. Wells, A. Celler, and R. Harrop, “Analytical calculation of photon distributions in spect projections,” IEEE Trans. Nucl. Sci. 45, 3202–3214 (1998). [CrossRef]
- A. Yodh and B. Chance, “Spectroscopy and imaging with diffusing light,” Phys. Today 48, 34–40 (1995). [CrossRef]
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- M. Chu, K. Vishwanath, A. D. Klose, and H. Dehghani, “Light transport in biological tissue using three-dimensional frequency-domain simplified spherical harmonics equations,” Phys. Med. Biol. 54, 2493–2509 (2009). [CrossRef]
- A. K. Jha, M. A. Kupinski, T. Masumura, E. Clarkson, A. A. Maslov, and H. H. Barrett, “Simulating photon-transport in uniform media using the radiative transfer equation: A study using the Neumann-series approach,” J. Opt. Soc. Am. A 29, 1741–1757 (2012).
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- A. K. Jha, M. A. Kupinski, D. Kang, and E. Clarkson, “Solutions to the radiative transport equation for non-uniform media,” in Biomedical Optics (Optical Society of America, 2010), p. BSuD55.
- H. H. Barrett, B. Gallas, E. Clarkson, and A. Clough, Computational Radiology and Imaging: Therapy and Diagnostics (Springer, 1999).
Culver, J. P.
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