Isotopic Convergence Theorem
Geometric Topology
2013-04-15 v7
Abstract
When approximating a space curve, it is natural to consider whether the knot type of the original curve is preserved in the approximant. This preservation is of strong contemporary interest in computer graphics and visualization. We establish a criterion to preserve knot type under approximation that relies upon pointwise convergence and convergence in total curvature.
Keywords
Cite
@article{arxiv.1210.1863,
title = {Isotopic Convergence Theorem},
author = {J. Li and T. J. Peters},
journal= {arXiv preprint arXiv:1210.1863},
year = {2013}
}
Comments
17 pages, 6 figures