12 citations · 12 across the 4 of their papers we have counts for
5 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…
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…
Monge surfaces and planar geodesic foliations
David Brander, Jens Gravesen
A Monge surface is a surface obtained by sweeping a generating plane curve along a trajectory that is orthogonal to the moving plane containing the curve. Locally, they are charact…
Approximation by planar elastic curves
David Brander, Jens Gravesen, Toke Bjerge Nørbjerg
We give an algorithm for approximating a given plane curve segment by a planar elastic curve. The method depends on an analytic representation of the space of elastic curve segment…