This is the home page for CSE 891: Discrete Differential Geometry.
This course is geared towards helping participants understand concepts and methods from differential geometry, in particular for 2- and 3-manifolds, in a discrete rather than discretized setup. Discrete differential geometry aims to preserve selected structure when going from a continuous abstraction to a finite representation for computational purposes. For example, for a piecewise linear approximation ("mesh") of a surface one may define Gaussian curvature in such a way that important theorems are preserved in the discrete setting. Observations like this and many others have been made independently in a variety of areas ranging from electromagnetics, fluid simulation, biomolecular surfaces, architectural CAGD, to discrete minimal surface theory.
The course syllabus is available in PDF format.
Links to DDG websites:
Notice: Some lecture sets are very large because they contain a large number of images.
Due dates (to come):
Centroidal Voronoi Tessellation
Paper presentation
Final projects