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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
Issue Date
2012
Journal Title
Journal of the Korean Physical Society
ISSN
0374-4884JCR Link
Citation
vol. 61, no. 3, pp. 476 - 483
Indexed
SCI; SCIE; SCOPUS; KCI WOS scopus
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.
DOI
10.3938/jkps.61.476
Appears in Collections:
연구기관 > 수리과학연구소 > Journal papers
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