Generating symbolic interpolants for scattered data with normal vectors

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	Generating symbolic interpolants for scattered data with normal vectors
	Li, M ; Gao, XS; Cheng, JS
	2005-11-01
发表期刊	JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY
ISSN	1000-9000
卷号	20 期号:6 页码:861-874
摘要	Algorithms to generate a triangular or a quadrilateral interpolant with G(1)-continuity are given in this paper for arbitrary scattered data with associated normal vectors over a prescribed triangular or quadrilateral decomposition. The interpolants are constructed with a general method to generate surfaces from moving Bezier curves under geometric constraints. With the algorithm, we may obtain interpolants in complete symbolic parametric forms, leading to a fast computation of the interpolant. A dynamic interpolation solid modelling software package DISM is implemented based on the algorithm which can be used to generate and manipulate solid objects in an interactive way.
关键词	solid modelling Hermite interpolation surface Bezier curve sweeping curve
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Hardware & Architecture ; Computer Science, Software Engineering
WOS记录号	WOS:000233343300015
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1423
专题	系统科学研究所
通讯作者	Li, M
作者单位	1.Cardiff Univ, Sch Comp Sci, Cardiff CF24 3AA, Wales 2.Chinese Acad Sci, AMSS, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, M,Gao, XS,Cheng, JS. Generating symbolic interpolants for scattered data with normal vectors[J]. JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY,2005,20(6):861-874.
APA	Li, M,Gao, XS,&Cheng, JS.(2005).Generating symbolic interpolants for scattered data with normal vectors.JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY,20(6),861-874.
MLA	Li, M,et al."Generating symbolic interpolants for scattered data with normal vectors".JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY 20.6(2005):861-874.