Reconstruction in optical tomography using the PN approximations

Measurement Science and Technology

Volumn 18, Issue 1, 2007, Pages 79-86

  Wright, S ^a   Schweiger, M ^a   Arridge, S R ^a  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

Diffuse optical tomography; Inverse problem; PN approximation; Radiative transfer

Indexed keywords

HARMONIC ANALYSIS; INVERSE PROBLEMS; LEAST SQUARES APPROXIMATIONS; MATRIX ALGEBRA; OPTICAL TOMOGRAPHY; RADIATIVE TRANSFER;

DIFFUSE OPTICAL TOMOGRAPHY; PN APPROXIMATION;

IMAGE RECONSTRUCTION;

HARMONIC ANALYSIS; IMAGE RECONSTRUCTION; INVERSE PROBLEMS; LEAST SQUARES APPROXIMATIONS; MATRIX ALGEBRA; OPTICAL TOMOGRAPHY; RADIATIVE TRANSFER;

EID: 33947673953     PISSN: 09570233     EISSN: 13616501     Source Type: Journal    
DOI: 10.1088/0957-0233/18/1/010     Document Type: Conference Paper

References (37)

1. Abdoulaev G S and Hielscher A H 2003 Three-dimensional optical tomography with the equation of radiative transfer J. Electron. Imaging 12 594-601
2. Ackroyd R T 1997 Finite Element Methods for Particle Transport: Applications to Reactor and Radiation Physics (Taunton: Research Studies Press)
3. Arridge S R 1999 Optical tomography in medical imaging Inverse Problems 15 R41-93
4. Arridge S R, Dehghani H, Schweiger M and Okada E 2000 The finite element model for the propagation of light in scattering media: a direct method for domains with non-scattering regions Med. Phys. 27 252-64
5. Arridge S R and Hebden J C 1997 Optical imaging in medicine: II. Modelling and reconstruction Phys. Med. Biol. 42 841-53
6. Aydin E D 1999 A higher-order transport model for photon propagation and its applications to optical tomography PhD Thesis University of London
7. Aydin E D, de Oliveira C R E and Goddard A J H 2002 A comparison between transport and diffusion calculations using a finite element-spherical harmonics radiation transport method Med. Phys. 2 2013-23
8. Aydin E D, de Oliveira C R E and Goddard A J H 2004 A finite element-spherical harmonic radiation transport model for photon migration in turbid media J. Quant. Spectrosc. Radiat. Transfer 84 247-60
9. Bal G and Maday Y 2002 Coupling of transport and diffusion models in linear transport theory Math. Modelling Numer. Anal. 36 69-86
10. Bal G and Ren K 2003 Generalised diffusion model in optical tomography with clear layers J. Opt. Soc. Am. A 20 2355-64
11. Boas D A, Brooks D H, Miller E L, DiMarzio C A, Kilmer M, Gaudette R J and Zhang Q 2001 Imaging the body with diffuse optical tomography IEEE Signal Process. Mag. 18 57-75
12. Case M C and Zweifel P F 1967 Linear Transport Theory (New York: Addison-Wesley)
13. Chandrasekhar S 1950 Radiative Transfer (London: Oxford University Press)
14. Davison B 1957 Neutron Transport Theory (London: Oxford University Press)
15. de Oliveira C R E 1986 An arbitrary geometry finite element method for multigroup neutron transport with anisotropic scattering Prog. Nucl. Energy 18 227-36
16. de Oliveira C R E and Tahir K B 1997 Higher-order transport approximations for optical tomography Proc. BiOS Europe'97, San Remo vol 3194 (Bellingam, WA: SPIE Optical Engineering Press) pp 212-8
17. Dorn O 1998 A transport-backtransport method for optical tomography Inverse Problems 14 1107-30
18. Duderstadt J J and Martin W R 1979 Transport Theory (New York: Wiley)
19. Firbank M, Arridge S R, Schweiger M and Delpy D T 1996 An investigation of light transport through scattering bodies with non-scattering regions Phys. Med. Biol. 41 767-83
20. Stamnes K and Thomas G E 1999 Radiative Transfer in the Atmosphere and Ocean (Cambridge: Cambridge University Press)
21. Gibson A, Hebden J C and Arridge S R 2005 Recent advances in diffuse optical tomography Phys. Med. Biol. 50 R1-R43
22. Hebden J C, Arridge S R and Delpy D T 1997 Optical imaging in medicine: I. Experimental techniques Phys. Med. Biol. 42 825-40
23. Heino J, Arridge S R, Sikora J and Somersalo E 2003 Anisotropic effects in highly scattering media Phys. Rev. E 68 Article number 31908
24. Hielscher A H, Alcouffe R E and Barbour R L 1998 Comparison of finite-difference transport and diffusion calculations for photon migration in homogeneous and hetergeneous tissue Phys. Med. Biol. 43 1285-302
25. Ishimaru A 1978 Wave Propagation and Scattering in Random Media vol 1 (New York: Academic)
26. Jiang H 1999 Optical image reconstruction based on the third-order diffusion equations Opt. Express 4 241-6
27. Klose A D, Netz U, Beuthan J and Hielscher A H 2002 Optical tomography using the time-independent equation of radiative transfer-part 1: forward model J. Quant. Spectrosc. Radiat. Transfer 72 691-713
28. Lebedev V I and Skorokhodov A L 2002 Quadrature formulas of orders 41, 47 and 53 for the sphere Russ. Acad. Sci. Dokl. Math. 45 587-92
29. Ren K, Abdoulaev G S, Bal G and Hielscher A 2004 Algorithm for solving the equation of radiative transfer in the frequency domain Opt. Lett. 29 578-80
30. Ren K, Bal G and Hielscher A 2006 Frequency domain optical tomography based on the equation of radiative transfer SIAM J. Sci. Comput. at press
31. Schweiger M, Arridge S R and Nissilä I 2005 Gauss-Newton method for image reconstruction in diffuse optical tomography Phys. Med. Biol. 50 2365-86
32. Tahir K B, de Oliveira C R E, Katsimichas S and Dainty J C 1996 A comparison between finite element transport and Monte Carlo solutions for photon propagation Proc. Applied Optics and Optoelectronics pp 58-63
33. Tarvainen T, Vauhkonen M, Kolehmainen V, Arridge S R and Kaipio J P 2005 Coupled radiative transfer equation and diffusion approximation model for photon migration in turbid medium with low-scattering and non-scattering regions Phys. Med. Biol. 50 4913-30
34. Tarvainen T, Vauhkonen M, Kolehmainen V and Kaipio J P 2005 A hybrid radiative transfer-diffusion model for optical tomography Appl. Opt. 44 876-86
35. Weinberg A M and Wigner E P 1958 The Physical Theory of Neutron Chain Reactors (Chicage, IL: University of Chicago Press)
36. Wright S, Schweiger M and Arridge S R 2005 Solutions to the transport equation using variable order angular basis Photon Migration and Diffuse-Light Imaging II ed K Licha and R Cubeddu Proc. SPIE 5859 (585914):1-8
37. Yodh A and Chance B 1995 Spectroscopy and imaging with diffusing light Phys. Today 48 38-40