Length of parallel curves
Differential Geometry
2007-11-13 v1
Abstract
We prove that the length difference between a closed periodic curve and its parallel curve at a sufficiently small distance is proportional to the rotation index. As an application, the rotation index of a curve could be estimated by means of Cauchy-Crofton formula.
Keywords
Cite
@article{arxiv.0711.1670,
title = {Length of parallel curves},
author = {Enrique Macias Virgós},
journal= {arXiv preprint arXiv:0711.1670},
year = {2007}
}
Comments
5 pages, 2 figures