Diffuse tomography modulo Grassmann and Laplace

DOI10.1063/1.531557zbMath0863.92010OpenAlexW1976184570MaRDI QIDQ5284789

Sarah K. Patch

Publication date: 22 January 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://purl.umn.edu/2763

zbMATH Keywords

medical imagingrecursive schemematrix identitiesforward problemrange conditionsGrassmann-Plücker identitiesLaplace expansions of determinantsdiffuse tomographic systemmodified transition probabilitiesRedheffer-product

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Other physical applications of random processes (60K40) Matrix equations and identities (15A24) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Stochastic matrices (15B51)

Cites Work

• On the Relation of Transmission-Line Theory to Scattering and Transfer
• Diffuse tomography: the isotropic case
• Diffuse tomography: computational aspects of the isotropic case
• Consistency conditions in diffuse tomography
• Recursive recovery of a family of Markov transition probabilities from boundary value data
• Remarks on the Basis of Network Theory

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