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Geometry II:
Discrete Differential Geometry
(Summer 2011)


This is a course of the
Berlin Mathematical School
held in English.
News
 [20.07.]
 Next possible date for oral exams is 23.08.2011. Please contact
Fr. Janik for details.
 [20.06.]
 No Lecture and tutorial this week (June 20  June 23)
 [09.06.]
 Exercise sheet 8 will be available on Friday 10.06.  Sorry. Enjoy your thursday :)
 [06.06.]
 Error in Ex. 7.3: The Delaunay triangulation maximizes the minimal angle.
 [30.05.]
 No tutorial on Thu 02.06. because of public holiday.
 [27.05.]
 References concerning cotanLaplace operator and intrinsic Delaunay triangulations below.
 [10.05.]
 Error in Exercise 4 sheet 3. The crossratio is not preserved, but only its absolute value.
 [02.05.]
 Error in Hint to exercise 3 on sheet 2. See corrected version online
 [14.04.]
 No lecture on Tuesday 19.04. Tutorials start on Wednesday 20.04.
 [04.04.]
 The first lecture will be on Tuesday 12.4, the first Tutorial on Wednesday 20.04.
Contents
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.
References

A. Bobenko, B. Springborn, A discrete LaplaceBeltrami 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
