On approximation of planar curves by circular arcs with length preservation
Differential Geometry
2017-08-29 v2
Abstract
The method for approximation of planar curve by circular arcs with length preservation, proposed by I.Kh. Sabitov and A.V. Slovesnov, is analyzed. We extend the applicability of the method, and consider some corollaries, not related to the approximation problem. Inequalities for the length of a convex spiral arc with prescribed two-point or Hermite data are derived. We propose a scheme of computer modelling to explore properties of planar curves. As an example, closeness of ovals is tested, leading to some conjectures about closeness conditions.
Keywords
Cite
@article{arxiv.1604.07303,
title = {On approximation of planar curves by circular arcs with length preservation},
author = {Alexey Kurnosenko},
journal= {arXiv preprint arXiv:1604.07303},
year = {2017}
}
Comments
17 pages, 10 figures