3 citations · 5 across the 5 of their papers we have counts for
5 papers
Solution of the Björling problem by discrete approximation
Ulrike Bücking, Daniel Matthes
The Björling problem amounts to the construction of a minimal surface from a real-analytic curve with a given real-analytic normal vector field. We approximate that solution locall…
LDP polygons and the number 12 revisited
Ulrike Bücking, Christian Haase, Karin Schaller +1
We give a combinatorial proof of a lattice point identity involving a lattice polygon and its dual, generalizing the formula for reflexive . The identi…
Convergence of discrete period matrices and discrete holomorphic integrals for ramified coverings of the Riemann sphere
Alexander I. Bobenko, Ulrike Bücking
We consider the class of compact Riemann surfaces which are ramified coverings of the Riemann sphere . Based on a triangulation of this covering of the sphere $\m…
Constructing solutions to the Björling problem for isothermic surfaces by structure preserving discretization
Ulrike Bücking, Daniel Matthes
In this article, we study an analog of the Björling problem for isothermic surfaces (that are more general than minimal surfaces): given a real analytic curve in ${\mathbb R}^3…
Quasiconformal distortion of projective transformations and discrete conformal maps
Stefan Born, Ulrike Bücking, Boris Springborn
We consider the quasiconformal dilatation of projective transformations of the real projective plane. For non-affine transformations, the contour lines of dilatation form a hyperbo…