Automated generation of Kempe linkages for algebraic curves and surfaces
文献类型：期刊论文
| 作者 | Gao, XS; Zhu, CC; Chou, SC; Ge, JX |
| 刊名 | MECHANISM AND MACHINE THEORY
 |
| 出版日期 | 2001-09-01 |
| 卷号 | 36期号:9页码:1019-1033 |
| 关键词 | CAD linkage synthesis Peaucellier linkage Kempe linkage algebraic curves and surfaces animation complexity |
| ISSN号 | 0094-114X |
| 英文摘要 | The well-known Peaucellier linkage converts a circular motion into a linear motion. A more shocking result by Kempe [Proc. LMS (1876) 213] shows that any plane algebraic curve can be delineated by a linkage. In this paper, we improve Kempe's result to give a precise algorithm for generating the Kempe linkage. We prove that for an algebraic plane curve of degree n, the corresponding Kempe linkage uses at most O(n(4)) links. We extend Kempe's result to the 3D case: any algebraic surface can be delineated by a 3D linkage. We implement a program which can construct the Kempe linkage and animate the drawing process for a given plane curve. (C) 2001 Elsevier Science Ltd. All rights reserved. |
| WOS研究方向 | Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000171080000002 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16571]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chou, SC |
| 作者单位 | 1.Wichita State Univ, Dept Comp Sci, Wichita, KS 67260 USA 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gao, XS,Zhu, CC,Chou, SC,et al. Automated generation of Kempe linkages for algebraic curves and surfaces[J]. MECHANISM AND MACHINE THEORY,2001,36(9):1019-1033. |
| APA | Gao, XS,Zhu, CC,Chou, SC,&Ge, JX.(2001).Automated generation of Kempe linkages for algebraic curves and surfaces.MECHANISM AND MACHINE THEORY,36(9),1019-1033. |
| MLA | Gao, XS,et al."Automated generation of Kempe linkages for algebraic curves and surfaces".MECHANISM AND MACHINE THEORY 36.9(2001):1019-1033. |
入库方式： OAI收割
来源：数学与系统科学研究院
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