{"title":"Smooth rational motion of a rigid triangle in R/sup 3/","authors":"Farzana S. Chaudhry, S. A. Cameron","doi":"10.1109/IV.1999.781550","DOIUrl":null,"url":null,"abstract":"Using rational motions it is possible to apply many fundamental Bezier spline (or B-spline) techniques to the designs of motion. The paper develops and tests a simple automatic algorithm for representing C/sup 1/ smooth motion of a rigid triangle /spl Delta/ in R/sup 3/, by means of piecewise parametric rational curves of degree 2m/2m for some m, when measurements of the positions of the vertices of the triangle /spl Delta/ at a sequence of times t/sub i/, i=0, 1, ..., n, in R/sup 3/ are given. The method presented in the paper can be applied to various problems in computer animation as well as in robotics.","PeriodicalId":340240,"journal":{"name":"1999 IEEE International Conference on Information Visualization (Cat. No. PR00210)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"1999 IEEE International Conference on Information Visualization (Cat. No. PR00210)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IV.1999.781550","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
Using rational motions it is possible to apply many fundamental Bezier spline (or B-spline) techniques to the designs of motion. The paper develops and tests a simple automatic algorithm for representing C/sup 1/ smooth motion of a rigid triangle /spl Delta/ in R/sup 3/, by means of piecewise parametric rational curves of degree 2m/2m for some m, when measurements of the positions of the vertices of the triangle /spl Delta/ at a sequence of times t/sub i/, i=0, 1, ..., n, in R/sup 3/ are given. The method presented in the paper can be applied to various problems in computer animation as well as in robotics.
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