Geometric algorithm for point projection and inversion onto Bezier surfaces
文献类型：期刊论文
| 作者 | Jinting Xu; Weijun Liu; Jianhuang Wu; Hongyou Bian; Lun Li |
| 刊名 | FRONTIERS OF COMPUTER SCIENCE IN CHINA
 |
| 出版日期 | 2009 |
| 卷号 | 3期号:4页码:472-476 |
| 英文摘要 | This paper presents an accurate and efficient method for the computation of both point projection and inversion onto Bezier surfaces. First, these two problems are formulated in terms of solution of a polynomial equation with u and v variables expressed in the Bernstein basis. Then, based on subdivision of the Bezier surface and the recursive quadtree decomposition, a novel solution method is proposed. The computation of point projection is shown to be equivalent to the geometrically intuitive intersection of a surface with the u-v plane. Finally, by comparing the distances between the testpoint and the candidate points, the closest point is found. Examples illustrate the feasibility of this method. |
| 收录类别 | SCI |
| 原文出处 | http://link.springer.com/article/10.1007/s11704-009-0034-2 |
| 语种 | 英语 |
| 源URL | [http://ir.siat.ac.cn:8080/handle/172644/2360]  |
| 专题 | 深圳先进技术研究院_集成所 |
| 作者单位 | FRONTIERS OF COMPUTER SCIENCE IN CHINA |
| 推荐引用方式 GB/T 7714 | Jinting Xu,Weijun Liu,Jianhuang Wu,et al. Geometric algorithm for point projection and inversion onto Bezier surfaces[J]. FRONTIERS OF COMPUTER SCIENCE IN CHINA,2009,3(4):472-476. |
| APA | Jinting Xu,Weijun Liu,Jianhuang Wu,Hongyou Bian,&Lun Li.(2009).Geometric algorithm for point projection and inversion onto Bezier surfaces.FRONTIERS OF COMPUTER SCIENCE IN CHINA,3(4),472-476. |
| MLA | Jinting Xu,et al."Geometric algorithm for point projection and inversion onto Bezier surfaces".FRONTIERS OF COMPUTER SCIENCE IN CHINA 3.4(2009):472-476. |
入库方式： OAI收割
来源：深圳先进技术研究院
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