Seminar Event Detail

Applied Interdisciplinary Mathematics (AIM)

Date:  Friday, April 03, 2015
Location:  1084 East Hall (3:00 PM to 4:00 PM)

Title:  Array imaging using sparse optimization in discrete and continuous settings

Abstract:   Recently there have been works where the ideas from compressive sensing are applied to the sparse imaging problem where the sources or scatterers are assumed to be sparse. In this talk we present some of these sparse optimization methods and how they are applied to the array imaging problem. We discuss the relation between the sparsity of the unknown localized sources and unique recoverability of the image in the discrete setting. Then our goal is to apply these ideas to the imaging problem in the continuous setting, where we discuss discretization error, the conditions of unique recoverability, and also the reconstruction when the uniqueness and exact reconstruction condition doesn't hold. We also present some numerical simulations. This talk is based on a current work with Liliana Borcea.


Speaker:  Ilker Kocyigit
Institution:  University of Michigan

Event Organizer:   AIM Seminar Organizers


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