An emerging field of discrete differential geometry aims at the development of discrete
equivalents of notions and methods of classical differential geometry. The latter appears as …

Simulating fluids based on vortex filaments is highly attractive for the creation of special
effects because it gives artists full control over the simulation using familiar tools like curve …

Curvatures of Smooth and Discrete Surfaces Page 1 Discrete Differential Geometry, AI
Bobenko, P. Schröder, JM Sullivan and GM Ziegler, eds. Oberwolfach Seminars, Vol. 38 …

We study a simple model of bicycle motion: a segment of fixed length in multi-dimensional
Euclidean space, moving so that the velocity of the rear end is always aligned with the …

We express Darboux transformations of discrete polarised curves as parallel sections of
discrete connections in the quaternionic formalism. This immediately leads to the …

We propose a discrete surface theory in R3 that unites the most prevalent versions of
discrete special parametrizations. Our theory encapsulates a large class of discrete surfaces …

Vortical flow animation has attracted considerable attention within the realm of computer
graphics. Given that boundaries are the source of vorticity, we introduce a novel approach …

In this paper, we consider the discrete deformation of the discrete space curves with
constant torsion described by the discrete mKdV or the discrete sine-Gordon equations, and …

We construct explicit solutions to the discrete motion of discrete plane curves that has been
introduced by one of the authors recently. Explicit formulas in terms of the τ function are …

We define and study a variant of the center of mass of a polygon and, more generally, of a
simplicial polytope which we call the Circumcenter of Mass (CCM). The CCM is an affine …