{"title":"带符号距离函数的层次样条逼近","authors":"Xinghua Song, B. Jüttler, A. Poteaux","doi":"10.1109/SMI.2010.18","DOIUrl":null,"url":null,"abstract":"We present a method to approximate the signed distance function of a smooth curve or surface by using polynomial splines over hierarchical T-meshes (PHT splines). In particular, we focus on closed parametric curves in the plane and implicitly defined surfaces in space.","PeriodicalId":404708,"journal":{"name":"2010 Shape Modeling International Conference","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"16","resultStr":"{\"title\":\"Hierarchical Spline Approximation of the Signed Distance Function\",\"authors\":\"Xinghua Song, B. Jüttler, A. Poteaux\",\"doi\":\"10.1109/SMI.2010.18\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a method to approximate the signed distance function of a smooth curve or surface by using polynomial splines over hierarchical T-meshes (PHT splines). In particular, we focus on closed parametric curves in the plane and implicitly defined surfaces in space.\",\"PeriodicalId\":404708,\"journal\":{\"name\":\"2010 Shape Modeling International Conference\",\"volume\":\"11 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-06-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"16\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 Shape Modeling International Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SMI.2010.18\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 Shape Modeling International Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SMI.2010.18","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Hierarchical Spline Approximation of the Signed Distance Function
We present a method to approximate the signed distance function of a smooth curve or surface by using polynomial splines over hierarchical T-meshes (PHT splines). In particular, we focus on closed parametric curves in the plane and implicitly defined surfaces in space.