Oded Stein - The Biharmonic Equation in Geometry Processing

The Laplacian has been an extensively used tool of geometry processing and computer graphics for a long time. In this talk we will take a look at a close relative of the Laplacian, the Bilaplacian, as well as its partial differential equation, the biharmonic equation. The Bilaplacian can be used in applications such as smoothing, interpolation, character animation, distance computation, and more. We will examine the biharmonic equation and its use in geometry processing, we will look at ways to discretize it for curved surfaces, and we will discuss different boundary conditions of the biharmonic equation.