1 citations · 1 across the 2 of their papers we have counts for
5 papers
Approximation by Quad Meshes in Laguerre Geometry
A. Ramos-Cisneros, M. Skopenkov, H. Pottmann
We study analogs of planar-quadrilateral meshes in Laguerre sphere geometry and the approximation of smooth surfaces by them. These new Laguerre meshes can be viewed as watertight…
Quasi-symmetric nets: A constructive approach to the equimodular elliptic type of Kokotsakis polyhedra
A. Nurmatov, M. Skopenkov, F. Rist +2
A Kokotsakis polyhedron is a polyhedral mesh in three-dimensional Euclidean space formed by a central n-gonal face (the base), n quadrilateral faces each sharing one edge with the…
Incidences, tilings, and fields
P. Pylyavskyy, M. Skopenkov
The master theorem, introduced by Richter-Gebert and generalized by Fomin and the first author, provides a method for proving incidence theorems of projective geometry using triang…
Patchwork: A compact representation for 3D polygonal shapes
Ruichen Zheng, Biao Zhang, Michael Birsak +2
We introduce Patchwork, a new general-purpose shape representation capable of modeling 2D and 3D geometry with a small number of parameters. Patchwork is grounded in a rigorous mat…
Families of surfaces with constant ratio of principal curvatures and Plateau's problem
Mikhail Skopenkov, Khusrav Yorov
This work is on surfaces with a constant ratio of principal curvatures. These CRPC surfaces generalize minimal surfaces but are much more challenging to construct. We propose a con…