43 citations · 140 across the 22 of their papers we have counts for
28 papers
Approximation and interactive design with exact 3D elastic curves
David Brander, Jens Gravesen, Marc Isern
An elastic space curve is a critical point of the bending energy subject to appropriate constraints. An analytic representation, equivalent to the spherical pendulum equation, lead…
Tileable Surfaces
David Brander, Jens Gravesen
We study -regular surfaces in that admit tilings by a finite number of rigid motion congruence classes of tiles. We construct examples with various topologies and presen…
Gauss maps of Möbius surfaces in the -dimensional sphere
David Brander, Shimpei Kobayashi, Peng Wang
In this note we discuss Gauss maps for Möbius surfaces in the -sphere, and their applications in the study of Willmore surfaces. One such ``Gauss map'', naturally associated to…
Maximal surfaces in the Lorentzian Heisenberg group
David Brander, Shimpei Kobayashi
The 3-dimensional Heisenberg group can be equipped with three different types of left-invariant Lorentzian metric, according to whether the center of the Lie algebra is spacelike,…
Wave maps and constant curvature surfaces: singularities and bifurcations
David Brander, Farid Tari
Wave maps (or Lorentzian-harmonic maps) from a -dimensional Lorentz space into the -sphere are associated to constant negative Gaussian curvature surfaces in Euclidean 3-sp…
Bézier curves that are close to elastica
David Brander, J. Andreas Bærentzen, Ann-Sofie Fisker +1
We study the problem of identifying those cubic Bézier curves that are close in the L2 norm to planar elastic curves. The problem arises in design situations where the manufacturin…