Quadratic approximation to plane parametric curves and its application in approximate implicitization
文献类型：期刊论文
| 作者 | Li, Ming; Gao, Xiao-Shan ; Chou, Shang-Ching
|
| 刊名 | VISUAL COMPUTER
 |
| 出版日期 | 2006-09-01 |
| 卷号 | 22期号:9-11页码:906-917 |
| 关键词 | rational approximation conics parametric curves approximate implicitization |
| ISSN号 | 0178-2789 |
| DOI | 10.1007/s00371-006-0075-6 |
| 英文摘要 | Expressing complex curves with simple parametric curve segments is widely used in computer graphics, CAD and so on. This paper applies rational quadratic B-spline curves to give a global C-1 continuous approximation to a large class of plane parametric curves including rational parametric curves. Its application in approximate implicitization is also explored. The approximated parametric curve is first divided into intrinsic triangle convex segments which can be efficiently approximated with rational quadratic Bezier curves. With this approximation, we keep the convexity and the cusp (sharp) points of the approximated curve with simple computations. High accuracy approximation is achieved with a small number of quadratic segments. Experimental results are given to demonstrate the operation and efficiency of the algorithm. |
| WOS研究方向 | Computer Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000240381000033 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3374]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Gao, Xiao-Shan |
| 作者单位 | 1.Acad Sinica, Key Lab Math Mechanizat, Beijing, Peoples R China 2.Cardiff Univ, Sch Comp Sci, Cardiff, S Glam, Wales 3.Wichita State Univ, Dept Comp Sci, Wichita, KS 67208 USA |
| 推荐引用方式 GB/T 7714 | Li, Ming,Gao, Xiao-Shan,Chou, Shang-Ching. Quadratic approximation to plane parametric curves and its application in approximate implicitization[J]. VISUAL COMPUTER,2006,22(9-11):906-917. |
| APA | Li, Ming,Gao, Xiao-Shan,&Chou, Shang-Ching.(2006).Quadratic approximation to plane parametric curves and its application in approximate implicitization.VISUAL COMPUTER,22(9-11),906-917. |
| MLA | Li, Ming,et al."Quadratic approximation to plane parametric curves and its application in approximate implicitization".VISUAL COMPUTER 22.9-11(2006):906-917. |
入库方式： OAI收割
来源：数学与系统科学研究院
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