离散平面曲线到可积离散欧拉弹性模拟的整流化

IF 0.3 Q4 MATHEMATICS, APPLIED International Journal of Mathematics for Industry Pub Date : 2021-11-01 DOI:10.1142/s2661335222500071
Sebastián Elías Graiff Zurita, K. Kajiwara, Toshitomo Suzuki
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引用次数: 1

摘要

我们构造了一种方法,通过使用欧拉弹性的可积离散模拟来公平给定的离散平面曲线,这是D. Brander等人提出的近似算法的离散版本。我们首先简要回顾了a . I. Bobenko和Yu提出的欧拉弹性的可积离散模拟。B. Suris,然后我们详细介绍了整流光算法,并将该方法应用于描述日本手工内裤的关键线条的建筑问题。
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Fairing of Discrete Planar Curves to Integrable Discrete Analogue of Euler's Elasticae
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.
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来源期刊
CiteScore
0.90
自引率
0.00%
发文量
4
审稿时长
24 weeks
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