[donpdonp]

After some skimming of the paper and googling of terms, I'm going to take a whack at an ELI5 (note I have no special domain knowledge here): Some fields such as GIS or CAD are given a polygon and need to represent the interior area as a 'mesh' or set of triangles in order to perform certain operations on that interior. The current approach to building a mesh gives an approximation of that area where the method in the paper gives a mathematically exact representation, which is a 'big deal' where accuracy counts. Corrections welcome.

Fry: Hey, professor. What are you teaching this semester?

Prof. Farnsworth: Same thing I teach every semester: The Mathematics of Quantum Neutrino Fields. I made up the title so that no student would dare take it.