The Taub Faculty of Computer Science Events and Talks

Directional and vector fields are central objects in geometry processing. They are commonly represented with low-order simple elements on watertight surfaces in FEM and in computer graphics, for simplicity and sparsity. Moreover, they are classically defined only on conventional symmetries. I will discuss some recent works of extending these classical representations with alternative bases, where then important tasks in downstream applications like meshing, computations of flows, making Penrose patterns on surfaces, or properly marketing mangoes can be done robustly and more efficiently.