SIAM Southeastern Atlantic Section Conference

September 18-19, 2021

Mini-symposium (MS)

MS10: Theory Meets Practice for Inverse Problems in Imaging Applications

Organizers: Anuj Abhishek, University of North Carolina at Charlotte

                     Taufiquar Khan, University of North Carolina at Charlotte

Abstract: Inverse Problems are problems wherein the intrinsic properties of an object are to be determined from some indirect measurements of such properties. The field of inverse problems has driven much of technological development over the past few decades. Applications include a number of imaging modalities such as medical imaging, geophysical imaging and non-invasive industrial imaging techniques. In the past decade or so there have been significant developments both in the mathematical theory and applications of inverse problems. The purpose of this mini-symposium would be to bring together people working on different aspects of the field, to encourage interaction between mathematicians and scientists and engineers working directly with the applications.


Saturday, September 18, 10:00 AM – 12:00 PM: Part I of II

Room: Libry 4033

10:00 – 10:30 Souvik Roy, University of Texas at Arlinton, A new nonlinear sparse optimization framework for two-photon photoacoustic computed tomography

10:30 – 11:00 Shyla Kupis, Clemson University, TBA

11:00 – 11:30 Sanwar Ahmad, Colorado State University, On accelerating iterative gradient type methods for solving Electrical Impedance Tomography problem

11:30 – 12:00 Sakshi Arya, Pennsylvania State University, Adaptive estimation of function from exponential radon transform data


Saturday, September 18, 3:30 PM – 5:30 PM: Part II of II

Room: Libry 4033

3:30 – 4:00 Yiran Wang, Emory University,  Streak artefacts in X-ray tomography

4:00 – 4:30 Mirjeta Pasha, Arizona State University, From static to dynamic inverse problems: new edge-preserving methods for image reconstruction

4:30 – 5:00 Anuj Abhishek, UNC Charlotte, An optimal Bayesian estimator for a stochastic problem of diffuse optical tomography