Fairing of Discrete Planar Curves by Integrable Discrete Analogue of Euler's Elasticae
Exactly Solvable and Integrable Systems
2024-09-05 v1
Abstract
We construct a method to fair a given discrete planar curve by using the integrable discrete analogue of Euler's elastica, which is a discrete version of the approximation algorithm presented by D. Brander, et al. We first give a brief review of the integrable discrete analogue of Euler's elastica proposed by A. I. Bobenko and Yu. B. Suris, then we present a detailed account of the fairing algorithm, and we apply this method to an architectural problem of characterizing the keylines of Japanese handmade pantiles.
Keywords
Cite
@article{arxiv.2111.00804,
title = {Fairing of Discrete Planar Curves by Integrable Discrete Analogue of Euler's Elasticae},
author = {Sebastian Elias Graiff Zurita and Kenji Kajiwara and Toshitomo Suzuki},
journal= {arXiv preprint arXiv:2111.00804},
year = {2024}
}
Comments
31 pages, 27 figures