DFG Research Center Matheon
mathematics for key technologies

Project F1: Discrete Surface Parametrizations
Institute of Mathematics
Geometry Group
Technische Universität Berlin

Boris Springborn

email: boris.springborn@tu-berlin.de
→ postal address

Teaching

Winter 2007/8 Geometry I
Summer 2007 Geometry II (Tutorial)
Winter 2006/7 Geometry I (Tutorial)
Summer 2006 Differential Geometry of Curves and Surfaces

Publications and Preprints

[14] B. Springborn, P. Schröder, U. Pinkall. Conformal Equivalence of Triangle Meshes. ACM Transactions on Graphics 27:3 [Proceedings of ACM SIGGRAPH 2008] (online).
[13] M. Fisher, B. Springborn, P. Schröder, A. I. Bobenko. An algorithm for the construction of intrinsic delaunay triangulations with applications to digital geometry processing. Computing 81 (2007), 199-213 (online).
[12] U. Pinkall, B. Springborn, S. Weißmann. A new doubly discrete analogue of smoke ring flow and the real time simulation of fluid flow. J. Phys. A: Math. Theor. 40 (2007), 12563-12576 (online). arXiv:0708.0979 [nlin.SI].
[11] B. Springborn. A variational principle for weighted Delaunay triangulations and hyperideal polyhedra. J. Differential Geom. 78 (2008) 333-367 (online). [download PDF]
[10] L. Kharevych, B. Springborn, P. Schröder. Discrete conformal maps via circle patterns. ACM Transactions on Graphics 25:2 (2006) 412-138 (online).
[9] A. I. Bobenko, B. A. Springborn. A discrete Laplace-Beltrami operator for simplicial surfaces. Discrete Comput. Geom. 38:4 (2007) 740-756 (online). arXiv:math.DG/0503219
[8] B. A. Springborn. A unique representation of polyhedral types. Centering via Möbius transformations. Math. Z. 249:3 (2005), 513-517 (online). arXiv:math.MG/0401005
[7] A. I. Bobenko, T. Hoffmann, B. A. Springborn. Minimal surfaces from circle patterns: Geometry from combinatorics. Ann. of Math. 164:1 (2006), 231-264 (online). Preprint arXiv:math.DG/0305184.
[6] A. I. Bobenko, B. A. Springborn. Variational principles for circle patterns and Koebe's theorem. Trans. Amer. Math. Soc. 356 (2004), 659-689 (online). [PDF].
[5] B. A. Springborn. Variational principles for circle patterns. PhD thesis, Technische Universität Berlin, 27 Nov 2003. Supervisor: A. I. Bobenko. Published online and as preprint arXiv:math.GT/0312363. Errata page [PDF].
[4] A. I. Bobenko, T. V. Pavlyukevich, B. A. Springborn. Hyperbolic constant mean curvature one surfaces: Spinor representation and trinoids in hypergeometric functions. Math. Z. 245 (2003), 63--91 (online).
[3] B. A. Springborn. Constructing circle patterns using a new functional. In H.-Chr. Hege and K. Polthier (eds.), Visualization and Mathematics III, Springer-Verlag, 2003. [ps.gz].
[2] B. A. Springborn. Bonnet pairs in the 3-sphere. In M. Guest, R. Miyaoka, and Y. Ohnita (eds.), Differential Geometry and Integrable Systems, Contemporary Mathematics series, volume 308, American Mathematical Society, 2002.
[1] B. A. Springborn. The toy top, an integrable system of rigid body dynamics. J. Nonlinear Math. Phys. 7 (2000), 386--410.
Boris Springborn
Last modified: Wednesday, 08-Jul-2009 14:08:13 CEST .