{"title":"在R/sup /中刚性三角形的光滑有理运动","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":"{\"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}","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}
Smooth rational motion of a rigid triangle in R/sup 3/
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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