Inversion of the Born Series in Optical Tomography

Applied and Computational Mathematics Seminar
Monday, March 14, 2011 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 005
John Schotland – University of Michigan, Ann Arbor
Haomin Zhou
The inverse problem of optical tomography consists of recovering thespatially-varying absorption of a highly-scattering medium from boundarymeasurements. In this talk we will discuss direct reconstruction methods forthis problem that are based on inversion of the Born series. In previouswork we have utilized such series expansions as tools to develop fast imagereconstruction algorithms. Here we characterize their convergence, stabilityand approximation error. Analogous results for the Calderon problem ofreconstructing the conductivity in electrical impedance tomography will alsobe presented.