Geometry processing with discrete exterior calculus

• Date: 6. 3. 2025
• Time: 14:00 - 15:30
• Address:
  Sokolovská 83, Praha
• Room: K1
• Speaker: Lenka Ptáčková

We present a novel discretization of exterior calculus on surface meshes formed by general polygons, possibly non-convex and non-planar. Within this framework we define new discrete versions of several differential operators, e.g., Laplace--de Rham operator or Lie derivative, examine their numerical convergence, and illustrate their application for tasks such as Helmholtz--Hodge decomposition of vector fields, mean curvature flow of surface meshes, or Lie advection of vector fields.