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Inversion of the Born Series in Optical Tomography
November 03, 2010 (11:00AM PDT - 12:00PM PDT)
Abstract: The inverse scattering problem (ISP) for diffuse waves consists of recovering the spatially-varying absorption of the interior of a bounded domain from measurements taken on its boundary. The problem has been widely studied in the context of optical tomography. In this talk we will discuss the solution to the ISP that arises from inversion of the Born series. In previous work we have utilized such series expansions as tools to develop fast, direct image reconstruction algorithms. Here we characterize their convergence and stability.
MSRI: Simons Auditorium
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