{"title":"基于B样条函数的曲面拟合改进算法","authors":"Zhan Wang, Jun Yu, Bida Su, Xiaodan Xie","doi":"10.1109/ICIC.2011.35","DOIUrl":null,"url":null,"abstract":"The B spline function is widely applied for the data processing, such as computer graphics, artificial intelligence and other enginging. In this paper, by using the B spline basic function, an explicit form of 3-order C-B spline basic function is presented based on integral recurrence formula of the C-B spline basic. And an improved algorithm is given for surface fitting combined with least squares theory. The numerical examples indicated that in the case of consistently accuracy, the improved C-B spline fitting algorithm can save as 70% computing time as the B spline fit algorithm at least.","PeriodicalId":6397,"journal":{"name":"2011 Fourth International Conference on Information and Computing","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2011-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"An Improved Algorithm for Surface Fitting Based on B Spline Function\",\"authors\":\"Zhan Wang, Jun Yu, Bida Su, Xiaodan Xie\",\"doi\":\"10.1109/ICIC.2011.35\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The B spline function is widely applied for the data processing, such as computer graphics, artificial intelligence and other enginging. In this paper, by using the B spline basic function, an explicit form of 3-order C-B spline basic function is presented based on integral recurrence formula of the C-B spline basic. And an improved algorithm is given for surface fitting combined with least squares theory. The numerical examples indicated that in the case of consistently accuracy, the improved C-B spline fitting algorithm can save as 70% computing time as the B spline fit algorithm at least.\",\"PeriodicalId\":6397,\"journal\":{\"name\":\"2011 Fourth International Conference on Information and Computing\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-04-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 Fourth International Conference on Information and Computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICIC.2011.35\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 Fourth International Conference on Information and Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIC.2011.35","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An Improved Algorithm for Surface Fitting Based on B Spline Function
The B spline function is widely applied for the data processing, such as computer graphics, artificial intelligence and other enginging. In this paper, by using the B spline basic function, an explicit form of 3-order C-B spline basic function is presented based on integral recurrence formula of the C-B spline basic. And an improved algorithm is given for surface fitting combined with least squares theory. The numerical examples indicated that in the case of consistently accuracy, the improved C-B spline fitting algorithm can save as 70% computing time as the B spline fit algorithm at least.