English

Discrete knot energies

Geometric Topology 2016-03-09 v1 Classical Analysis and ODEs Differential Geometry

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.

Keywords

Cite

@article{arxiv.1603.02464,
  title  = {Discrete knot energies},
  author = {Sebastian Scholtes},
  journal= {arXiv preprint arXiv:1603.02464},
  year   = {2016}
}

Comments

arXiv admin note: text overlap with arXiv:1311.3056

R2 v1 2026-06-22T13:06:13.166Z