The inverse photolithography problem is a key step in the production of integrated circuits. I propose a regularization and computation strategy for this optimization problem, whose key feature is a regularization procedure for a suitable thresholding operation. The validity of the method is shown by a convergence analysis and by numerical experiments. This is a joint work with Fadil Santosa (University of Minnesota) and Zhu Wang (University of South Carolina).
Day 1: We introduce the Monge-Kantorovich (MK) problem and then give a brief overview of the calculus of variations, and how this may be used to treat Monge-Kantorovich, that is, the Optimal Transport problem.