Approximation by planar elastic curves
Numerical Analysis
2016-08-05 v2
Abstract
We give an algorithm for approximating a given plane curve segment by a planar elastic curve. The method depends on an analytic representation of the space of elastic curve segments, together with a geometric method for obtaining a good initial guess for the approximating curve. A gradient-driven optimization is then used to find the approximating elastic curve.
Cite
@article{arxiv.1509.00703,
title = {Approximation by planar elastic curves},
author = {David Brander and Jens Gravesen and Toke Bjerge Nørbjerg},
journal= {arXiv preprint arXiv:1509.00703},
year = {2016}
}
Comments
18 pages, 10 figures. Version2: new section 5 added (conclusions and discussions)