Seamless global parametrization of surfaces is a key operation in geometry processing, eg,
for high-quality quad mesh generation. A common approach is to prescribe the parametric …

We prove a result on the convergence of discrete conformal maps to the Riemann map**s
for Jordan domains. It is a counterpart of Rodin and Sullivan's theorem on convergence of …

Signal transduction and cell function are governed by the spatiotemporal organization of
membrane-associated molecules. Despite significant advances in visualizing molecular …

Let S_ g, n S g, n be a surface of genus g> 1 g> 1 with n> 0 n> 0 punctures equipped with a
complete hyperbolic cusp metric. Then it can be uniquely realized as the boundary metric of …

What information about a surface is encoded by angles, but not lengths? This question
encapsulates the basic viewpoint of conformal geometry, which studies holomorphic or …

We propose a novel meshless method to compute harmonic maps and conformal maps for
surfaces embedded in the Euclidean 3-space, using point cloud data only. Given a surface …

For triangulated surfaces, we introduce the combinatorial p-th (p> 1 p> 1) Calabi flow for
Euclidean and hyperbolic polyhedral metrics on surfaces which precisely equals the …

We study combinatorial properties of polytopes realizable in the Lobachevsky space L^ 3 L
3 as polytopes of finite volume with right dihedral angles. On the basis of EM An-dreev's …

Rigidity of the Hexagonal Delaunay Triangulated Plane | Peking Mathematical Journal Skip to
main content SpringerLink Account Menu Find a journal Publish with us Track your research …

A famous construction of Gel'fand, Kapranov and Zelevinsky associates to each finite point
configuration A⊂ R da polyhedral fan, which stratifies the space of weight vectors by the …