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Mathematical modeling of acousto-optical tomography and its level set simulations

Title
Mathematical modeling of acousto-optical tomography and its level set simulations
Authors
Nam H.Dobson D.C.
Ewha Authors
남혜원
SCOPUS Author ID
남혜원scopus
Issue Date
2012
Journal Title
Journal of the Korean Physical Society
ISSN
0374-4884JCR Link
Citation
Journal of the Korean Physical Society vol. 61, no. 3, pp. 476 - 483
Indexed
SCI; SCIE; SCOPUS; KCI WOS scopus
Document Type
Article
Abstract
Acousto-optical tomography is modeled by using a linear integral equation and an inverse problem involving a diffusion equation in n spatial dimensions, n = 2, 3. Based on measured data, the optical absorption coefficient μ is reconstructed inside a given domain. We make a two-step mathematical model. First, we solve a linear integral equation. Assuming the energy fluence rate has been recovered from the previous equation, we then reconstruct the absorption coefficient μ by solving an inverse problem. Numerical experiments are presented for the case n = 2. We used the level set method for the numerical experiments. At the end, the advantages and the disadvantages of those two methods are mentioned. © 2012 The Korean Physical Society.
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DOI
10.3938/jkps.61.476
Appears in Collections:
연구기관 > 수리과학연구소 > Journal papers
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