CSE 891 Sect 004 Discrete Differential Geometry

Fall, 2012

Time: T-Th 12:40-2:00pm
Location: 1300 Engineering Building

Yiying Tong, instructor, ytong@msu.edu

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.  

Course resources

Links to DDG websites:

Lecture sets

Will appear as the course goes.

Notice: Some lecture sets are very large because they contain a large number of images. 

Due dates (to come):

  • Normally at 11:59pm (email me if you have questions)

Assignments (Submission through email)

  • Centroidal Voronoi Tessellation

  • Paper presentation

  • Final projects