Impedance imaging and Mrkov chain Monte Carlo methods

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 3171, Issue , 1997, Pages 175-185

  Somersalo, E ^a   Kaipio, J ^b   Vauhkonen, M ^b   Baroudi, D ^c   Jarvenpaa S ^d  

^a AALTO UNIVERSITY   (Finland)

^b UNIVERSITY OF EASTERN FINLAND   (Finland)

^c Fire Technology   (Finland)

^d UNIVERSITY OF HELSINKI   (Finland)

Author keywords

Bayesian methods; Electrical impedance tomography; Inverse problems; MCMC; Temperature tomography

Indexed keywords

BAYESIAN NETWORKS; DIAGNOSTIC RADIOGRAPHY; DIFFERENTIAL EQUATIONS; ELECTRIC IMPEDANCE; ELECTRIC IMPEDANCE MEASUREMENT; ELECTRIC IMPEDANCE TOMOGRAPHY; ESTIMATION; EXPERIMENTS; FUNCTIONS; LEARNING ALGORITHMS; MARKOV PROCESSES; MATHEMATICAL MODELS; MEDICAL IMAGING; MEDICAL PROBLEMS; MONTE CARLO METHODS; NUMBER THEORY; NUMERICAL METHODS; TOMOGRAPHY;

BAYESIAN; BAYESIAN METHODS; CURRENT/VOLTAGE MEASUREMENTS; ELECTRICAL IMPEDANCE IMAGING; ELECTRICAL IMPEDANCE TOMOGRAPHY; GAS TEMPERATURES; IMPEDANCE IMAGING; INEQUALITY CONSTRAINTS; MARKOV CHAIN MONTE CARLO ALGORITHMS; MCMC; METAL FILAMENTS; POSTERIOR DISTRIBUTIONS; PRIOR INFORMATIONS; RESISTIVITY DISTRIBUTIONS; RESISTIVITY MEASUREMENTS; SEARCH ALGORITHMS; SMOOTH FUNCTIONALS; STATIC PROBLEMS;

INVERSE PROBLEMS;

EID: 0342557495     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.279723     Document Type: Conference Paper

References (9)

1. L. Tierney, "Markov chains for exploring posterior distributions," The Annals of Statistics 4, pp. 1701-1762, 1978.
2. E. Somersalo, M. Cheney, and D. Isaacson, "Existence and uniqueness for electrode models for electric current computed tomography," SIAM J. Appl. Math 52, pp. 1023-1040, 1992.
3. S. Järvenpää, "A finite element model for the inverse conductivity problem." Phil. Lic. Thesis, University of Helsinki, 1996.
4. M. Vauhkonen, Electrical impedance tomography and prior information. PhD thesis, University of Kuopio, Kuopio, Finland, May 1997.
5. K.-S. Cheng, D. Isaacson, J. C. Newell, and D. G. Gisser, "Electrode models for electric current computed tomography," IEEE Trans. Biomed. Engrg. 3, pp. 918-914, 1989.
6. D. C. Dobson and F. Santosa, "An image enhancement technique for electrical impedance tomography," Inverse Problems 10, pp. 317-334, 1994.
7. E. Somersalo, M. Vauhkonen, J. Kaipio, and S. Järvenpää, "Statistical inversion methods applied to electrical impedance tomography problem." To be published.
8. D. Baroudi and E. Somersalo, "Gas temperature mapping using impedance tomography." To appear in Inverse Problems 1997.
9. D. Baroudi, J. Hietaniemi, and E. Somersalo, "Retrieval of gas temperature from impedance tomography measurements." To be published.