21 citations · 34 across the 5 of their papers we have counts for
9 papers
Multi-dimensional consistency of principal binets
Niklas C. Affolter, Jan Techter
Principal binets are a discretization of curvature line parametrized surfaces defined on the vertices and faces of the square lattice . They generalize the previously establi…
A canonical discrete analogue of the classical circular cross sections of ellipsoids and their isometric deformation
Boris Huang, Wolfgang K. Schief, Jan Techter
Based on a novel discretization procedure which has recently been proposed and applied in the construction of a canonical discrete analogue of confocal coordinate systems, an expli…
Principal binets
Niklas Christoph Affolter, Jan Techter
Conjugate line parametrizations of surfaces were first discretized almost a century ago as quad meshes with planar faces. With the recent development of discrete differential geome…
Non-Euclidean Laguerre geometry and incircular nets
Alexander I. Bobenko, Carl O. R. Lutz, Helmut Pottmann +1
Classical (Euclidean) Laguerre geometry studies oriented hyperplanes, oriented hyperspheres, and their oriented contact in Euclidean space. We describe how this can be generalized…
On mutually diagonal nets on (confocal) quadrics and 3-dimensional webs
Arseniy V. Akopyan, Alexander I. Bobenko, Wolfgang K. Schief +1
Canonical parametrisations of classical confocal coordinate systems are introduced and exploited to construct non-planar analogues of incircular (IC) nets on individual quadrics an…
Checkerboard incircular nets. Laguerre geometry and parametrisation
Alexander I. Bobenko, Wolfgang K. Schief, Jan Techter
We present a procedure which allows one to integrate explicitly the class of checkerboard IC-nets which has recently been introduced as a generalisation of incircular (IC) nets. Th…