Is this a quadrisected mesh?

G. Taubin
{"title":"Is this a quadrisected mesh?","authors":"G. Taubin","doi":"10.1145/376957.376987","DOIUrl":null,"url":null,"abstract":"In this paper we introduce a fast and efficient linear time and space algorithm to detect and reconstruct uniform Loop subdivision structure, or triangle quadrisection, in irregular triangular meshes. Instead of a naive sequential traversal algorithm, and motivated by the concept of covering surface in Algebraic Topology, we introduce a new algorithm based on global connectivity properties of the covering mesh. We consider two main applications for this algorithm. The first one is to enable interactive modelling systems that support Loop subdivision surfaces, to use popular interchange file formats which do not preserve the subdivision structure, such as VRML, without loss at information. The second application is to improve the compression efficiency of existing lossless connectivity compression schemes, by optimally compressing meshes with Loop subdivision connectivity. Extensions to other popular uniform subdivision schemes such as Catmull-Clark and Doo-Sabin, are relatively straightforward but will be studied elsewhere.","PeriodicalId":286112,"journal":{"name":"International Conference on Smart Media and Applications","volume":"36 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Conference on Smart Media and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/376957.376987","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 7

Abstract

In this paper we introduce a fast and efficient linear time and space algorithm to detect and reconstruct uniform Loop subdivision structure, or triangle quadrisection, in irregular triangular meshes. Instead of a naive sequential traversal algorithm, and motivated by the concept of covering surface in Algebraic Topology, we introduce a new algorithm based on global connectivity properties of the covering mesh. We consider two main applications for this algorithm. The first one is to enable interactive modelling systems that support Loop subdivision surfaces, to use popular interchange file formats which do not preserve the subdivision structure, such as VRML, without loss at information. The second application is to improve the compression efficiency of existing lossless connectivity compression schemes, by optimally compressing meshes with Loop subdivision connectivity. Extensions to other popular uniform subdivision schemes such as Catmull-Clark and Doo-Sabin, are relatively straightforward but will be studied elsewhere.
这是一个四边形网格吗?
本文介绍了一种快速有效的线性时间和空间算法,用于不规则三角形网格中均匀环路细分结构或三角形四边形的检测和重建。基于代数拓扑中覆盖曲面的概念,本文提出了一种基于覆盖网格全局连通性的新算法,取代了传统的顺序遍历算法。我们考虑了该算法的两个主要应用。第一个是启用支持循环细分表面的交互式建模系统,使用不保留细分结构的流行交换文件格式,如VRML,而不会丢失信息。第二个应用是提高现有无损连接压缩方案的压缩效率,通过环路细分连接优化压缩网格。对其他流行的统一细分方案的扩展,如卡特穆尔-克拉克和杜-萨宾,相对简单,但将在其他地方进行研究。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
×
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
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
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 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信