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A nonlinear inverse problem inspired by three‐dimensional diffuse tomography: Explicit formulas
Author(s) -
Grünbaum F. Alberto,
Matusevich Laura Felicia
Publication year - 2002
Publication title -
international journal of imaging systems and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.359
H-Index - 47
eISSN - 1098-1098
pISSN - 0899-9457
DOI - 10.1002/ima.10031
Subject(s) - inversion (geology) , nonlinear system , inverse problem , computer science , inverse , algorithm , tomography , mathematics , calculus (dental) , mathematical analysis , geometry , physics , optics , geology , medicine , paleontology , dentistry , quantum mechanics , structural basin
We use time of flight information to obtain explicit inversion formulas for a simple model of optical tomography. This can be considered as an instance of a more general nonlinear inversion problem for multi‐terminal networks. In this case the network is nonplanar with lots of cycles but the underlying physical model yields a highly structured situation. © 2003 Wiley Periodicals, Inc. Int J Imaging Syst Technol 12, 198–203, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/ima.10031
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