Ultrasound-modulated optical tomography is modeled
by 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 of 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, the absorption coefficient
μ is then reconstructed by solving an inverse
problem. Numerical experiments are presented for
the case n=2. Two methods are used for the
numerical experiments, gradient descent and
levelset. At the end, advantages and disadvantages
of those two methods are mentioned.
| Identifer | oai:union.ndltd.org:tamu.edu/oai:repository.tamu.edu:1969.1/448 |
| Date | 30 September 2004 |
| Creators | Nam, Haewon |
| Contributors | Dobson, David C. |
| Publisher | Texas A&M University |
| Source Sets | Texas A and M University |
| Language | en_US |
| Detected Language | English |
| Type | Book, Thesis, Electronic Dissertation, text |
| Format | 633426 bytes, 295854 bytes, electronic, application/pdf, text/plain, born digital |
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