Geometric algorithm for point projection and inversion onto Bezier surfaces

	Geometric algorithm for point projection and inversion onto Bezier surfaces
	Jinting Xu; Weijun Liu; Jianhuang Wu; Hongyou Bian; Lun Li
刊名	FRONTIERS OF COMPUTER SCIENCE IN CHINA
	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
内容类型	期刊论文
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.