切割一个环面

Proceedings of 1997 International Conference on Shape Modeling and Applications Pub Date : 1997-03-03 DOI:10.1109/SMA.1997.634877

K. Fujimura

{"title":"切割一个环面","authors":"K. Fujimura","doi":"10.1109/SMA.1997.634877","DOIUrl":null,"url":null,"abstract":"Methods are presented for cutting the surface of a polygonal shape that is homeomorphic to the torus. A number of issues are discussed as to how to find loops of a desired characteristic on the surface of a polyhedrally-defined torus and how to cut the torus into two parts by using the loops discovered. A method for finding a homeomorphism for toroidal surfaces is also described, which is important for shape transformation and texture mapping in graphics.","PeriodicalId":413660,"journal":{"name":"Proceedings of 1997 International Conference on Shape Modeling and Applications","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1997-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"On cutting a torus\",\"authors\":\"K. Fujimura\",\"doi\":\"10.1109/SMA.1997.634877\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Methods are presented for cutting the surface of a polygonal shape that is homeomorphic to the torus. A number of issues are discussed as to how to find loops of a desired characteristic on the surface of a polyhedrally-defined torus and how to cut the torus into two parts by using the loops discovered. A method for finding a homeomorphism for toroidal surfaces is also described, which is important for shape transformation and texture mapping in graphics.\",\"PeriodicalId\":413660,\"journal\":{\"name\":\"Proceedings of 1997 International Conference on Shape Modeling and Applications\",\"volume\":\"10 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1997-03-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 1997 International Conference on Shape Modeling and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SMA.1997.634877\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 1997 International Conference on Shape Modeling and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SMA.1997.634877","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 6

摘要

提出了切割与环面同胚的多边形曲面的方法。讨论了如何在多面体定义的环面表面找到具有所需特征的环，以及如何利用所发现的环面将环面切割成两部分的问题。本文还描述了一种求环面同胚的方法，它对图形学中的形状变换和纹理映射具有重要意义。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On cutting a torus

Methods are presented for cutting the surface of a polygonal shape that is homeomorphic to the torus. A number of issues are discussed as to how to find loops of a desired characteristic on the surface of a polyhedrally-defined torus and how to cut the torus into two parts by using the loops discovered. A method for finding a homeomorphism for toroidal surfaces is also described, which is important for shape transformation and texture mapping in graphics.

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

Proceedings of 1997 International Conference on Shape Modeling and Applications

自引率

0.00%

发文量