Ultrasound-modulated optical tomography
Abstract
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.
Subject
Inverse ProblemCitation
Nam, Haewon (2002). Ultrasound-modulated optical tomography. Doctoral dissertation, Texas
A&M University. Texas A&M University. Available electronically from https : / /hdl .handle .net /1969 .1 /448.