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math.DG2026
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…
math.DG2025
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…
math.DG2017
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…