Abstract for November 15, 2005

Taufiquar Khan (Clemson University): Inverse Problem in Refractive Index Optical Tomography

In this talk, we will give an overview of the basics of diffusion optical tomography and how to formulate the inverse problem. We will then discuss a typical computational framework to solve the forward and the inverse problem. In particular, we will discuss iteratively regularized Gauss-Newton method for the nonlinear inversion method. We will then try to relate how various aspects of this nonlinear ill-posed problem may be analyzed in the context of various ideas floating around at IMA.

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