{"title":"An exact bound on regular Loop subdivision surface","authors":"Guorong Zhou, Yuhua Zhang, Mingming Shan, Youzhi Wang, Yaohan Zhang, Xiao-Ming Zeng","doi":"10.1109/CSAE.2011.5952499","DOIUrl":null,"url":null,"abstract":"We propose an algorithm of region division and computations for the basis functions of regular Loop subdivision surface. By means of this algorithm we obtain an exact bound between regular Loop subdivision surface patch and its control mesh. The bound is given by maximum Euclidean norm of the first differences of the control vertices of the surface patch.","PeriodicalId":138215,"journal":{"name":"2011 IEEE International Conference on Computer Science and Automation Engineering","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 IEEE International Conference on Computer Science and Automation Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CSAE.2011.5952499","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We propose an algorithm of region division and computations for the basis functions of regular Loop subdivision surface. By means of this algorithm we obtain an exact bound between regular Loop subdivision surface patch and its control mesh. The bound is given by maximum Euclidean norm of the first differences of the control vertices of the surface patch.
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