Ultrasound-modulated optical tomography
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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.
Nam, Haewon (2002). Ultrasound-modulated optical tomography. Doctoral dissertation, Texas A&M University. Texas A&M University. Available electronically from