Discrete knot energies

Sebastian Scholtes

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arXiv · 1603.02464

Discrete knot energies

Sebastian Scholtes

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Abstract

The present chapter gives an overview on results for discrete knot energies. These discrete energies are designed to make swift numerical computations and thus open the field to computational methods. Additionally, they provide an independent, geometrically pleasing and consistent discrete model that behaves similarly to the original model. We will focus on M\"obius energy, integral Menger curvature and thickness.

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Sebastian Scholtes. 2016-03-08. Discrete knot energies. https://arxiv.org/abs/1603.02464

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