The forward and inverse models in time-resolved optical tomography imaging and their finite-element method solutions

Image and Vision Computing

Volumn 16, Issue 9-10, 1998, Pages 703-712

  Gao, F ^a   Niu, H ^a   Zhao, H ^a   Zhang, H ^a  

^a XI AN INSTITUTE OF OPTICS AND PRECISION MECHANICS   (China)

Author keywords

Finite element method; Image reconstruction; Inverse problem; Optical tomography

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; FINITE ELEMENT METHOD; IMAGE RECONSTRUCTION; IMAGING TECHNIQUES; INVERSE PROBLEMS; ITERATIVE METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA;

ITERATIVE STEEPEST DESCENT ALGORITHMS; JACOBIAN MATRIX; OPTICAL TOMOGRAPHY; TIKHONOV-MILLER REGULARIZATION METHOD;

COMPUTERIZED TOMOGRAPHY;

EID: 0032119712     PISSN: 02628856     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0262-8856(98)00078-x     Document Type: Article

References (20)

1. H. Natterer, The Mathematics of Computerized Tomography, Teubner and Wiley, New York, 1986.
2. L. Wang, P.P. Ho, R.R. Alfano, Ballistic imaging of biomedical samples using picosecond optical Kerr gate, Proc. SPIE 1431 (1991) 97-101.
3. J.C. Hebden, K.S. Wong, Time-resolved optical tomography, Appl. Opt. 32 (4) (1993) 125-128.
4. S.R. Arridge, M. Schweiger, D.T. Delpy, Iterative reconstruction of near infra-red absorption images, Proc. SPIE 1767 (1992) 372-383.
5. S.R. Arridge, M. Schweiger, M. Hiroaka, D.T. Delpy, Performance of an iterative reconstruction algorithm for near infrared absorption and scatter imaging, Proc. SPIE 1888 (1993) 360-371.
6. S.R. Arridge, M. Schweiger, The use of multiple data types in time-resolved optical absorption and scattering tomography (TOAST), Proc. SPIE 2035 (1993) 256-268.
7. M. Schweiger, S.R. Arridge, D.T. Delpy, Application of the finite element method for the forward and inverse models in optical tomography, J. Math. Imaging Vision 3 (1993) 263-283.
8. B.C. Wilson, G. Adam, A Monte-Carlo model for the absorption and flux distribution of light in tissue, Med. Phys. 10 (1983) 824-830.
9. P. van der Zee, D.T. Delpy, Simulation of the point-spread function for light in tissue, Adv. Exp. Med. Biol. 2151 (1987) 179-192.
10. S.T. Flock, M.S. Patterson, B.C. Wilson, D.R. Wyman, Monte-Carlo modelling of light propagation in highly scattering tissue - I: model predictions and comparison with diffusion theory, IEEE Trans. Biomed. Engng 36 (12) (1989) 1162-1168.
11. S.R. Arridge, M. Schweiger, M. Hiraoka, D.T. Delpy, A finite element approach for modelling photon transport in tissue, Med. Phys. 20 (2) (1993) 299-309.
12. S.R. Arridge, M. Cope, D.T. Delpy, The theoretical basis for the determination of optical pathlengths in tissue, Phys. Med. Biol. 17 (1992) 1531-1560.
13. V.G. Peters, D.R. Wyman, M.S. Patterson, G.L. Frank, Optical properties of normal and diseased human breast tissues in the visible and near infrared, Phys. Med. Biol. 35 (9) (1990) 1317-1334.
14. R.A.J. Groenhuis, H.A. Ferwada, J.J. Ten Bosch, Scattering and absorption of turbid materials determined from reflection measurements (part 1 and 2), Appl. Opt. 28 (1983) 2456-2467.
15. W.H. Press, B.P. Flannery, S.R. Teukolsky, W.T. Vetterling, Numerical Reciples in C - the Art of Scientific Computing, Cambridge University Press, Cambridge, 1988, pp. 111-125.
16. P. van der Zee, M. Essenpreis, D.T. Delpy, M. Cope, Accurate determination of the optical properties of biological tissue using a Monte-Carlo inversion technique, in: Proc. ICO Mg on Atmospheric Volume and Surface Scattering and Propagation, 1991, pp. 125-128.
17. K. Miller, Least-squares method for ill-posed problems with prescribed bound, SIAM. Math. Anal. 1 (1970) 52-74.
18. A.N. Tikhonov, V.Ya. Arsenin, Solution of Ill-posed Problems, V.H. Winston and Sons, Washington, DC, 1977.
19. D.W. Marquardt, An algorithm for least squares estimation of non-linear parameter, J. Soc. Indust. Appl. Math. 11 (1963) 431-441.
20. F. Gao, H. Niu, H. Zhao, A study on numerical simulation of image reconstructions in optical computer tomography, Bioimaging 5 (2) (1997) 51-57.