Regular algebraic curve segments (I) - Definitions and characteristics
文献类型：期刊论文
| 作者 | Xu, GL; Bajaj, CL; Xue, WM |
| 刊名 | COMPUTER AIDED GEOMETRIC DESIGN
 |
| 出版日期 | 2000-07-01 |
| 卷号 | 17期号:6页码:485-501 |
| 关键词 | algebraic curve discriminating family D-regular BB-form |
| ISSN号 | 0167-8396 |
| 英文摘要 | In this paper (part one of a trilogy), we introduce the concept of a discriminating family of regular algebraic curves (real, nonsingular and connected). Several discriminating families are obtained which yield different characterizations of the Bernstein-Bezier (BB) bivariate polynomials over the plane triangle and the quadrilateral domain such that their zero contours are smooth and connected. These regular curve segments in BB basis can be smoothly joined together to form algebraic curve splines or A-splines. Algorithms for the efficient graphics display of these new A-spline families are also provided. (C) 2000 Elsevier Science B.V. All rights reserved. |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000087428800002 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14921]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Bajaj, CL |
| 作者单位 | 1.Univ Texas, Dept Comp Sci, Austin, TX 78712 USA 2.Chinese Acad Sci, ICMSEC, State Key Lab Sci & Engn Comp, Beijing, Peoples R China 3.Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, GL,Bajaj, CL,Xue, WM. Regular algebraic curve segments (I) - Definitions and characteristics[J]. COMPUTER AIDED GEOMETRIC DESIGN,2000,17(6):485-501. |
| APA | Xu, GL,Bajaj, CL,&Xue, WM.(2000).Regular algebraic curve segments (I) - Definitions and characteristics.COMPUTER AIDED GEOMETRIC DESIGN,17(6),485-501. |
| MLA | Xu, GL,et al."Regular algebraic curve segments (I) - Definitions and characteristics".COMPUTER AIDED GEOMETRIC DESIGN 17.6(2000):485-501. |
入库方式： OAI收割
来源：数学与系统科学研究院
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