The Forward and Inverse Problems in Time Resolved Infra -Red Imaging

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 10311, Issue , 1993, Pages 35-64

  Arridge, Simon R ^a  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; ELECTRIC IMPEDANCE TOMOGRAPHY; ELECTROMAGNETIC WAVE ABSORPTION; ERROR STATISTICS; INFRARED IMAGING; LIGHT ABSORPTION; MEDICAL IMAGING; MEDICAL PROBLEMS; OPTICAL TOMOGRAPHY;

ABSORPTION AND SCATTERINGS; CORRELATED STATISTICS; ELECTRICAL IMPE DANCE TOMOGRAPHY (EIT); INVERSE METHODS; OPTIMISATIONS; PHOTON INTENSITIES; REGULARISATION; TIME DEPENDENT;

INVERSE PROBLEMS;

EID: 84955665266     PISSN: 0277786X     EISSN: 1996756X     Source Type: Conference Proceeding    
DOI: 10.1117/12.2283750     Document Type: Conference Paper

References (57)

1. S.R. Arridge, M. Cope, P. van der Zee, P.J. Hillson and D.T. Delpy, "Visualisation of the oxygenation state of brain and muscle in newborn infants by near infra-red transillumination", In: Information Processing in Medical Imaging, Ed: S.L. Bacharach, pp. 155-176, (Martinus Nijhoff, Holland, 1985).
2. S.R. Arridge, P. van der Zee, D.T. Delpy and M. Cope, "Aspects of clinical infra red absorption imaging, " In: Medical Images : Formation, Handling, and Evaluation (Eds: A. Todd Pokropek and M. A. Viergever), NATO ASI series F 98, pp. 407-418 (Springer-Verlag, Heidelberg, 1992).
3. S.R. Arridge, P. van der Zee, M. Cope, D.T. Delpy., "Reconstruction methods for infrared absorption imaging", Proc. SPIE, 1431, pp. 204-215 (1991).
4. S.R. Arridge, M. Schweiger, D.T. Delpy, "Iterative reconstruction of near infra-red absorption images", Proc. SPIE 1767, 372-383, (1992).
5. G. Jarry, S. Ghesquiere, J.M. Maarek, S. Debray, Bui-Mong-Hung and D. Laurent, "Imaging mammalian tissues and organs using laser collimated transillumination, " J. Biomed. Eng., 6, pp. 70-74 (1984).
6. P.C. Jackson, P.H. Stevens, J.H. Smith, D. Kean, H. Key, P.N.T.Wells, "The development of a system for transillumination computed tomography, " Br. J. Rad., 60, pp. 375-380 (1987).
7. M. Tamura, Y. Nomura and O. Hazeki, "Laser tissue spectroscopy - near infrared CT, " The Review of Laser Engineering (Japan), 15(8), pp. 74-82 (1987).
8. J.R. Singer, F.A. Griinbaum, P.D.Kohn, J.P.Zubelli, "Image reconstruction of the interior of bodies that diffuse radiation", Science, 248, 990-993 (1990).
9. F.A. Griinbaum, P.D. Kohn, G.A. Latham, J.R. Singer, J.P. Zubelli, "Diffuse tomography", Proc. SPIE, 1431, pp. 232-238, (1991).
10. I. Oda, Y. I to, H. Eda, T. Tamura, M. Takada, R. Abumi, K. Nagai, K. Nakagawa, M. Tamura, "Non invasive haemoglobin oxygenation monitor and computed tomography by NIR spectrophotometry", Proc. SPIE, 1431, pp. 284-293 (1991).
11. R. Berg, S. Andersson-Engels, O. Jarlman, S.Svanberg, "Time-resolved transillumination for medical diagnostics", Proc. SPIE, 1431, 110-119 (1991).
12. J. Haselgrove, J.Leigh, C.Yee, N-G Wang, M. Maris, B. Chance, "Monte Carlo and diffusion calculations of photon migration in non-infinite highly scattering media", Proc. SPIE, 1431, 30-41 (1991).
13. D.H.Griffel, Linear Algebra and its applications, vol 2, Ellis Horwood, (1989).
14. H.H.Barrett, Fundamentals of the Radon Transform, Mathematics and Computer Science in Medical Imaging (eds: M.A.Viergever and A.Todd-Pokropek), NATO ASI F 39, pp 105-126, (1988).
15. D.C. Barber, B.H. Brown, "Image reconstruction in Electrical Impedance Tomography", Proc. SPIE, 1768, 60-68, (1992).
16. D.C. Barber, B.H. Brown, "Reconstruction of impedance images using filtered back-projection", In: Electrical Impedance Tomography, Proceedings of a Conference in Copenhagen, July 1990, Sheffield, 44-51, (1991).
17. M.A. Viergever, "Introduction to discrete reconstruction methods in medical imaging", In : Mathematics and Computer Science in Medical Imaging (eds: M.A.Viergever and A.Todd-Pokropek), NATO ASI F 39, 43-65, (1988).
18. R. Gordon, R. Bender, G.T.Herman, "Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and X-ray photography", J. Theor. Biol, 29, 471-481, (1970).
19. S. Kaczmarz, "Angenaherte Auflosung von Systemen linearer Gleichungen", Bull. Int. Acad. Pol. Sci. Lett. A, 355-357, (1937).
20. M.C.A. van Dijke, H.A. van der Vorst, M.A. Viergever, "On the relation between ART, block-ART, and SIRT", In: Medical Images : Formation, Handling, and Evaluation (eds: A.Todd-Pokropek and M.A.Viergever), NATO ASI F 98, 377-396, (Springer-Verlag, Heidelberg, 1992).
21. M. Zadehkoochak, B.H. Blott, T.K. Hames, R.F. George, "Spectral expansion analysis in Electrical Impedance Tomography", J. Phys D : Appl. Phys, 24, 1911-1916, (1991).
22. D.C.Youla, H.Webb, Image reconstruction by the method of convex projections : part 1 - theory, IEEE Trans. Med. Imaging, 1, 81-94, (1982).
23. P. Oskoui-Fard, H.Stark, "Tomographic image reconstruction using the theory of convex projections", IEEE Trans. Med. Imaging, 7, 45-58, (1988).
24. Y. Wang, J-H Chang, R. Aronson, R.L. Barbour, H.L. Graber, J. Lubowsky, "Imaging of scattering media by diffusion tomography : an iterative perturbation approach", Proc. SPIE, 1641, 58-71, (1992).
25. F. Natterer, Regularization techniques in medical imaging, Mathematics and Computer Science in Medical Imaging (eds: M.A.Viergever and A.Todd-Pokropek), NATO ASI F 39, 127-141, (1988).
26. G.Wahba, "Practical approximate solutions to linear operator equations when the data are noisy", SIAM J. Numerical Anal., 14, 651-667, (1977).
27. R.L. Barbour, H. Graber, R. Aronson, J. Lubowsky, "Model for the 3-d optical imaging of tissue", Proc. 10th Annual Intl. Geoscience and Remote Sensing Symposium (IGARSS)., Vol. 2, 1395-1399, (1990).
28. T J.Yorkey, J.G.Webster, W.J.Tompkins, "Comparing reconstruction techniques for Electrical Impedance Tomography", IEEE Transactions on Biomedical Engineering., 34 (11), 843-852, (1987).
29. D.C. Barber, B.H. Brown, "Recent developments in applied potential tomography", In : Information processing in medical imaging Ed: S.L.Bacharach, 446-462, (Dordrecht : Martinus Nijhof, 1986).
30. D.T. Delpy, M. Cope, P. van der Zee, S.R. Arridge, S. Wray and J. Wyatt, "Estimation of optical pathlength through tissue from direct time of flight measurement, " Phys. Med. & Biol, 33, pp. 1433-1442 (1988).
31. B. Chance, J.S. Leigh, H. Miyake, D.S. Smith, S. Nioka, R. Greenfeld, M. Finander, K. Kaufman, W. Levy, M. Young, P. Cohne, H. Yoshioka, R. Boretsky, "Comparison of time-resolved and unresolved measurements of deoxyhemoglobin in brain", Proc. Nat. Acad. Sci. USA, 85, 4971-4975, (1988).
32. B. Chance, M. Maris, J. Sorge, M.Z. Zhang, "A phase modulation system for dual wavelength difference spectroscopy of haemoglobin deoxygenation in tissue", Proc. SPIE, 1204, pp. 481-491 (1990).
33. J.R. Lakowicz, K. Berndt, "Frequency domain measurement of photon migration in tissues", Chem. Phys. Lett., 166, 3, pp. 246-252 (1990).
34. M.S. Patterson, J.D. Moulton, B.C. Wilson, B. Chance, "Applications of time resolved light scattering measurements to photodynamic therapy dosimetry", Proc SPIE, 1203, pp. 62-75 (1990).
35. S.R. Arridge, M.Cope, D.T.Delpy., "Theoretical basis for the determination of optical pathlengths in tissue : temporal and frequency analysis", Physics in Medicine and Biology, 37, 1531-1560, (1992).
36. M.S. Patterson, B.C. Wilson and D.R. Wyman, "The propagation of optical radiation in tissue 1 : models of radiation transport and their application", Lasers in Medical Science, 6, pp 155-168, (1991).
37. R. Chandrasekhar, Radiation Transfer, Clarendon Press, Oxford, (1950).
38. M.C. Case and P.F. Zweifel, Linear Transport Theory, Addison-Wesley, New York, (1967).
39. B.C. Wilson and G. Adam, "A Monte-Carlo model for the absorption and flux distribution of light in tissue, Med. Phys., 10, 824-830, (1983).
40. P. Van Der Zee, and D.T. Delpy, "Simulation of the point-spread function for light in tissue", Adv. Exp. Med. & Biol, 215, 179-192, (1987).
41. S.T. Flock, M.S. Patterson, B.C. Wilson, D.R. Wyman, "Monte Carlo modelling of light propagation in highly scattering tissues - I: Model predictions and comparison with diffusion theory", IEEE Trans. Biomed. Eng., 36(12), pp. 1162-1168, (1989).
42. R.F. Bonner, R. Nossal, R. Havlin, G.H. Weiss, "Model for photon migration in turbid biological media", J. Opt. Soc, 4, 423-432, (1987).
43. H. Bremmer, "Random Volume Scattering", Radio Science Journal of Research, 680 (9), pp. 967-981, (1964).
44. H.W. Lewis, "Multiple scattering in an infinite medium", Physical Review, 78(3), pp. 526-529 (1950).
45. R.A J. Groenhuis, H.A. Ferwada, JJ. Ten Bosch, "Scattering and absorption of turbid materials determined from reflection measurements (parts 1 and 2)", Applied Optics, 28, 2456-2467, (1983).
46. G. Eason, A. Veitch, R. Nisbet, F. Turnbull, "The theory of the backscattering of light by blood", J. Phys. D, 11, 1463-1479, (1978).
47. J.-M. Kaltenbach, M. Kaschke, "Frequency and time-domain modelling of light transport in random media", In: these proceedings - Medical Optical Tomography : Functional Imaging and Monitoring (ed G. Miiller), SPIE, (in press 1993).
48. S.R.Arridge, M.Schweiger, M.Hiraoka, D.T.Delpy, "A finite element approach to modelling photon transport in tissue", Medical Physics, 20(2 Pt 1), 299-309, (1993).
49. M. Schweiger, S.R. Arridge, M. Hiraoka, D.T. Delpy, "Application of the Finite Element Method for the Forward problem in IR Absorption imaging", SPIE, 1768, 97-108, (1992).
50. E.M. Sevick, C.L. Burch, J.K. Frisoli, M.L. Johnson, K. Nowaczyk, H. Szmacinski, J.R. Lakowicz, "The physical basis of photon migration imaging using frequency-domain measurements", In: these proceedings - Medical Optical Tomography : Functional Imaging and Monitoring (ed G. Miiller), SPIE, (in press 1993).
51. S.R.Arridge, M. Schweiger, M.Hiraoka, D.T .Delpy, "Performance of an iterative reconstruction algorithm for near infrared absorption imaging", SPIE, 1888, (in press), (1993).
52. J.G. Webster (ed), Electrical Impedance Tomography, (Adam Hilger, Bristol, 1990).
53. EJ. Woo, "Finite Element method and reconstruction algorithms in Electrical Impedance Tomography", PhD thesis, University of Wisconsin-Madison (1990).
54. 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", Proc. SPIE, 1431, 84-96 (1991).
55. E.M. Sevick, B. Chance, J. Leigh, S. Nioka, M. Maris, "Quantitation of time- And frequency-resolved optical spectra for the determination of tissue oxygenation", Anal. Biochem., 195, pp. 330-351 (1991).
56. A. Wexler, B. Fry, M.R. Neuman, "Impedance-computed tomography algorithm and system", Appl. Optics, 24, 3985-3992 (1985).
57. R.V.Kohn, A.McKenney, "Numerical implementation of a variational method for electrical impedance tomography", Inverse Problems, 6, 389-414 (1990).