Efficient solution of boundary-value problems for image reconstruction via sampling

Journal of Electronic Imaging

Volumn 9, Issue 3, 2000, Pages 251-259

  Colin, Fox ^a   Nicholls, Geoff ^a   Palm, Mathias ^a  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040784365     PISSN: 10179909     EISSN: 1560229X     Source Type: Journal    
DOI: 10.1117/1.482753     Document Type: Article

References (12)

1. D. F. Jackson and K. Kouris, "The role and potential of new imaging methods," chapter in Imaging with Non-Ionizing Radiations, pp. 1-49, Surrey University Press (1983).
2. D. C. Barber, "A review of image reconstruction techniques for electrical impedance tomography," Med. Phys. 16, 162-169 (1989).
3. M. Cheney, D. Isaacson, and J. C. Newell, "Electrical impedance tomography," SIAM Rev. 41, 85-101 (1999).
4. J. F. Greenleaf, "Computerized tomography with ultrasound," Proc. IEEE 71, 330-337 (1983).
5. C. Fox and G. K. Nicholls, "Physically-based likelihood for ultrasound imaging," in Bayesian Inference for Inverse Problems, A. Mohammad-Djafari, Ed., Proc. SPIE 3459, 92-99 (1998).
6. I. Stakgold, Green's Functions and Boundary Value Problems, 2nd ed., Wiley, New York (1998).
7. C. Fox and G. K. Nicholls, "Sampling conductivity images via MCMC," in The Art and Science of Bayesian Image Analysis, K. Mardia, R. Ackroyd, and C. Gill, Eds., Leeds Annual Statistics Research Workshop, pp. 91-100, University of Leeds (1997).
8. G. K. Nicholls and C. Fox, "Prior modelling and posterior sampling in impedance imaging," in Ref. 5, pp. 116-127.
9. O. Axelsson and V. A. Barker, Finite Element Solution of Boundary Value Problems, Academic, Orlando, FL (1984).
10. G. Strang, Introduction to Linear Algebra, Wellesley-Cambridge Press, Wellesley, MA (1993).
11. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, 2nd ed. Cambridge University Press, Cambridge, England (1992).
12. C. Fox, PhD thesis, University of Cambridge (1989).