Polygonal approximation and energy of smooth knots

Abstract

We establish a fundamental connection between smooth and polygonal knot energies, showing that the Minimum Distance Energy for polygons inscribed in a smooth knot converges to the Möbius Energy of the smooth knot as the polygons converge to the smooth knot. However, the polygons must converge in a “nice” way, and the energies must be correctly regularized… (More)

Topics

5 Figures and Tables

Cite this paper

@inproceedings{Rawdon2003PolygonalAA, title={Polygonal approximation and energy of smooth knots}, author={Eric J. Rawdon and Jonathan K. Simon}, year={2003} }