Partial shape-preserving splines

CORC > 自动化研究所 > 中国科学院自动化研究所 > 中国科学院分子影像重点实验室

	Partial shape-preserving splines
	Li, Qingde 1; Tian, Jie2
刊名	COMPUTER-AIDED DESIGN
	2011-04-01
卷号	43 期号:4 页码:394-409
关键词	CAGD Spline basis functions NURBS Shape parameters Tension control Polygon smoothing
英文摘要	A complex geometric shape is often a composition of a set of simple ones, which may differ from each other in terms of their mathematical representations and the ways in which they are constructed. One of the necessary requirements in combining these simple shapes is that their original shapes can be preserved as much as possible. In this paper, a set of partial shape-preserving (PSP) spline basis functions is introduced to smoothly combine a collection of shape primitives with flexible blending range control. These spline basis functions can be considered as a kind of generalization of traditional B-spline basis functions, where the shape primitives used are control points or control polygons. The PSP-spline basis functions have all the advantages of the conventional B-spline technique in the sense that they are nonnegative, piecewise polynomial and of property of partition of unity. However, PSP-spline is a more powerful freeform geometric shape design technique in the sense that it is also a kind of shape-preserving spline. In addition, the PSP-spline technique implicitly integrates the weights of shape control primitives into its basis functions, which allows users to design a required geometric shape based on weighted control primitives. Though its basis functions are simply piecewise polynomial functions, it has the same shape design strengths as the rational piecewise polynomial based spline techniques such as NURBS. In particular, when control shape primitives are specified as a set of control points, PSP-spline behaves like a polygon smoother, with which a shape can be designed to approximate the specified control polygon or control mesh smoothly with any required precision. Consequently, a richer set of geometric shapes can be built using a relatively smaller set of control points. (C) 2011 Elsevier Ltd. All rights reserved.
WOS标题词	Science & Technology ; Technology
类目[WOS]	Computer Science, Software Engineering
研究领域[WOS]	Computer Science
收录类别	SCI
语种	英语
WOS记录号	WOS:000289017900006
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/3966]
专题	自动化研究所_中国科学院分子影像重点实验室
作者单位	1.Univ Hull, Dept Comp Sci, Kingston Upon Hull HU6 7RX, N Humberside, England 2.Chinese Acad Sci, Inst Automat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, Qingde,Tian, Jie. Partial shape-preserving splines[J]. COMPUTER-AIDED DESIGN,2011,43(4):394-409.
APA	Li, Qingde,&Tian, Jie.(2011).Partial shape-preserving splines.COMPUTER-AIDED DESIGN,43(4),394-409.
MLA	Li, Qingde,et al."Partial shape-preserving splines".COMPUTER-AIDED DESIGN 43.4(2011):394-409.