Optimal Transportation for Practical Geometric Problems
Justin Solomon, MIT

Optimal transportation (OT) has gained considerable popularity as a tool for relating signals defined over geometric domains.  Despite recent progress developing generic machinery for understanding and optimizing OT problems, considerable effort is still required to transition OT from a theoretical challenge to a practical tool in the computer graphics, geometry processing, and machine learning toolboxes.  To this end, I will describe several efforts to develop efficient, resilient OT-based algorithms tailored to these application areas, including extensions to surface matching, semi-supervised learning, and image processing.