40 citations · 46 across the 5 of their papers we have counts for
5 papers
Conformally symmetric triangular lattices and discrete -conformal maps
Ulrike Bücking
Two immersed triangulations in the plane with the same combinatorics are considered as preimage and image of a discrete immersion . We compare the cross-ratios and of co…
On rigidity and convergence of circle patterns
Ulrike Bücking
Two planar embedded circle patterns with the same combinatorics and the same intersection angles can be considered to define a discrete conformal map. We show that two locally fini…
Approximation of conformal mappings using conformally equivalent triangular lattices
Ulrike Bücking
Consider discrete conformal maps defined on the basis of two conformally equivalent triangle meshes, that is edge lengths are related by scale factors associated to the vertices. G…
Rigidity of quasicrystallic and Z^γ-circle patterns
Ulrike Bücking
The uniqueness of the orthogonal Z^γ-circle patterns as studied by Bobenko and Agafonov is shown, given the combinatorics and some boundary conditions. Furthermore we study (infini…
Approximation of conformal mappings by circle patterns
Ulrike Bücking
A circle pattern is a configuration of circles in the plane whose combinatorics is given by a planar graph G such that to each vertex of G corresponds a circle. If two vertices are…