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
{"title":"离散平面曲线到可积离散欧拉弹性模拟的整流化","authors":"Sebastián Elías Graiff Zurita, K. Kajiwara, Toshitomo Suzuki","doi":"10.1142/s2661335222500071","DOIUrl":null,"url":null,"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.","PeriodicalId":34218,"journal":{"name":"International Journal of Mathematics for Industry","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Fairing of Discrete Planar Curves to Integrable Discrete Analogue of Euler's Elasticae\",\"authors\":\"Sebastián Elías Graiff Zurita, K. Kajiwara, Toshitomo Suzuki\",\"doi\":\"10.1142/s2661335222500071\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":34218,\"journal\":{\"name\":\"International Journal of Mathematics for Industry\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2021-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Mathematics for Industry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1142/s2661335222500071\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mathematics for Industry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s2661335222500071","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
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。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
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.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
CiteScore
0.90
自引率
0.00%
发文量
4
审稿时长
24 weeks
期刊最新文献
Optimization of Machining for the Maximal Productivity Rate of the Drilling Operations Strong Incidence Domination in Some Operations of Fuzzy Incidence Graphs and Application in Security Allocation Hybrid Technique for Multi-Dimensional Fractional Diffusion Problems Involving Caputo-Fabrizio Derivative On Fractional Pennes Bioheat Equation using Legendre Collocation Method Local Fractional Laplace Transform Iterative Method for Solving Korteweg-De Vries Equation with the Local Fractional Derivative
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1