The Biharmonic Equation in Geometry Processing

Abstract: 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.

mathematical physicsanalysis of PDEsclassical analysis and ODEsdifferential geometryfunctional analysismetric geometrynumerical analysisoptimization and control

Audience: researchers in the topic

Online Seminar "Geometric Analysis"

Series comments: We discuss recent trends related to geometric analysis in a broad sense. The general idea is to solve geometric problems by means of advanced tools in analysis. We will include a wide range of topics such as geometric flows, curvature functionals, discrete differential geometry, and numerical simulation.

Registration and links to videos available at blatt.sbg.ac.at/onlineseminar.php