Applied Math Seminar: Computational Methods for Solving Inverse Problems in Imaging
Speaker: Malena Espanol (Arizona State University)
Abstract: Discrete linear and nonlinear inverse problems arise from many different imaging systems. These problems are ill-posed, which means, in most cases, that the solution is very sensitive to the data. Because the data usually contain errors produced by the different imaging system parts (e.g., cameras, sensors, etc.), robust and reliable regularization methods need to be developed for computing meaningful solutions. In some imaging systems, massive amounts of data are produced which makes the storage of data and the computational cost of the inversion process intractable. On the other hand, the set-up or use of some imaging systems provide very limited-data, which makes the inversion problem still very hard but with very different challenges. In this lecture, we will look at different imaging systems, formulate the corresponding mathematical models, develop regularization methods, and show some numerical results.
The Zoom link for the talk will be sent out by Wednesday.
Thursday, October 29, 2020 at 4:00pm to 5:00pm