Geometric algorithm for point projection and inversion onto Bezier surfaces

CORC > 沈阳自动化研究所 > 中国科学院沈阳自动化研究所 > 装备制造技术研究室

	Geometric algorithm for point projection and inversion onto Bezier surfaces
	Xu JT(徐金亭); Liu WJ(刘伟军); Wu JH(吴剑煌); Bian HY(卞宏友); Li L(李论)
刊名	Frontiers of Computer Science in China
	2009
卷号	3 期号:4 页码:472-476
ISSN号	1673-7350
产权排序	1
中文摘要	This paper presents an accurate and efficient method for the computation of both point projection and inversion onto Bézier 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 Bézier 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 asurface with the u-ν plane. Finally, by comparing the distances between the test point and the candidate points, the closest point is found. Examples illustrate the feasibility of this method.
WOS标题词	Science & Technology ; Technology
类目[WOS]	Computer Science, Information Systems ; Computer Science, Software Engineering ; Computer Science, Theory & Methods
研究领域[WOS]	Computer Science
收录类别	SCI ; EI ; CSCD
语种	英语
WOS记录号	WOS:000207971200005
公开日期	2012-05-29
内容类型	期刊论文
源URL	[http://ir.sia.cn/handle/173321/7550]
专题	沈阳自动化研究所_装备制造技术研究室
推荐引用方式 GB/T 7714	Xu JT,Liu WJ,Wu JH,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	Xu JT,Liu WJ,Wu JH,Bian HY,&Li L.(2009).Geometric algorithm for point projection and inversion onto Bezier surfaces.Frontiers of Computer Science in China,3(4),472-476.
MLA	Xu JT,et al."Geometric algorithm for point projection and inversion onto Bezier surfaces".Frontiers of Computer Science in China 3.4(2009):472-476.