Anomalous thresholds and edge singularities in electrical impedance tomography

Journal of Mathematical Physics

Volumn 37, Issue 9, 1996, Pages 4388-4417

  Ciulli, S ^a   Ispas, S ^a   Pidcock, M K ^b  

^a CNRS   (France)

^b OXFORD BROOKES UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030492533     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531637     Document Type: Article

References (14)

1. See for example the collection of papers in Physiol. Meas. 16, supplement 3A (1995).
2. K. S. Paulson, W. R. Breckon and M. K. Pidcock, "Electrode modelling in electrical impedance tomography," SIAM J. Appl. Math. 52, 1012-1022 (1992).
3. E. Sommersalo, M. Cheney, and D. Isaacson, "Existence and uniqueness for electrode models for electric current computed tomography," SIAM J. Appl. Math. 52, 1023-1041 (1992).
4. M. K. Pidcock, S. Ciulli and S. Ispas, "Singularities of mixed boundary value problems in electrical impedance tomography," Physiol. Meas. 16, 213-218 (1995).
5. K. Cheng, D. Isaacson, J. C. Newell, and D. G. Gisser, "Electrode models for electric current computed tomography," IEEE Trans. Biomed. Eng. 36, 918-924 (1989).
6. S. Ciulli, S. Ispas, and M. K. Pidcock, "Numerical modelling of a mixed Neumann-Robin boundary value problem," submitted for publication.
7. R. J. Eden, P. V. Landshoff, D. I. Olive, and J. C. Polkinghorne, The Analytic S-matrix (Cambridge University, Cambridge, 1966).
8. See for instance M. Ciulli, S. Ciulli and T. D. Spearman, "Bounds, for the continuation of perturbative results in the spectral region," J. Math. Phys. 25, 3194-3203 (1984).
9. F. D. Gakhov, Boundary Value Problems (Pergamon, London, 1966).
10. S. Ciulli, S. Ispas, and M. K. Pidcock, "Riemann sheet structure of eigenfunctions for a boundary value problem related to electrical impedance tomography" in preparation.
11. W. Rudin, Real and Complex Analysis (McGraw-Hill, New York, 1970).
12. J. W. Dettmann, Applied Complex Variables (MacMillan, New York, 1965).
13. E. C. Titchmarsh, The Theory of Functions, 2nd ed. (Oxford University, London, 1939).
14. G. Auberson, private communication.