TU Berlin Fakultät II
Institut für Mathematik

Geometry II (SoSe 14)



Geometry Group



Vergangene Semester


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Virtual Math Labs




Geometry II:
Discrete Differential Geometry and Visualization

(Summer 2014)

Lecture Alexander Bobenko Mon 12-14 MA 851
Tue 12-14 MA 850
Tutorial Thilo Rörig Wed 14-16 MA 848

This is a basic course of the Berlin Mathematical School may be held in English.


The first dates for oral exams are available in the last week of the term. More precisely on Wed 17 and Thu 18 July. You may register at Mr. Kalls office, MA873.
Thilo does not have office hour on Monday 30.06.
There is a mistake in exercise 5.3. An updated version is now online. You may hand it in with the next exercise sheet, which is not yet online.
There will be no tutorial on Wednesday 23.04.14.
There will be no tutorial on Thursdays.
The first tutorial is on Wednesday 16.04 at 2 pm.
The lecture starts on Monday 14.04.14. See you there.


Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact. Discrete differential geometry aims at the development and application of discrete equivalents of the geometric notions and methods of differential geometry. The latter appears then as a limit of refinements of the discretization. Polyhedral surfaces are one of the main topics of this course. Current progress in this field is to a large extent stimulated by its relevance for computer graphics.


  • A. Bobenko, B. Springborn, A discrete Laplace-Beltrami operator for simplicial surfaces, pdf
  • U. Pinkall, K. Polthier, Computing Discrete Minimal Surfaces and Their Conjugates pdf
  • A. Bobenko, U. Pinkall, B. Springborn, Discrete conformal maps and ideal hyperbolic polyhedra, arXiv

Exercise sheets

The exercise sheets can be found here.

Homework policy

To get a certificate for the tutorial, you need to satisfactorily complete 50% of the homework assignments.

Office Hours

Office hours Alexander Bobenko TBA MA 881
Thilo Rörig TBA MA 879

Thilo Rörig . 30.06.2014.