mu-Bases for rational canal surfaces

doi:10.1016/j.cagd.2018.12.001

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	mu-Bases for rational canal surfaces
	Yao, Shanshan 1,2; Jia, Xiaohong1,2
	2019-02-01
发表期刊	COMPUTER AIDED GEOMETRIC DESIGN
ISSN	0167-8396
卷号	69 页码:11-26
摘要	We show an efficient approach to computing a mu-basis for a rational canal surface defined by two rational generating curves. By simple geometry we can directly write down three moving planes whose intersection contains the canal surface. The degrees of the three moving planes are much lower than the degree of the surface parametrization, and their outer product retrieves the exact parametrization of the surface, with only a univariate extraneous factor. A matrix factorization technique is applied to these three moving planes to derive a mu-basis for the canal surface, whose outer product is exactly the parametrization of the canal surface. An inversion formula of a given point is also provided by mu-basis representations. (C) 2018 Elsevier B.V. All rights reserved.
关键词	Canal surface mu-basis Syzygy Parametrization Inversion formula
DOI	10.1016/j.cagd.2018.12.001
语种	英语
资助项目	National Natural Science Foundation of China[61872354] ; open funding project of State Key Laboratory of Virtual Reality Technology and Systems of Beihang University[BUAA-VR17KF-06] ; Open Projects Program of National Laboratory of Pattern Recognition (NLPR)[201700020] ; Tsinghua University[2015THZ02-2] ; Tsinghua University[2015THZ01]
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000459845600002
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34169
专题	系统科学研究所
通讯作者	Jia, Xiaohong
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Yao, Shanshan,Jia, Xiaohong. mu-Bases for rational canal surfaces[J]. COMPUTER AIDED GEOMETRIC DESIGN,2019,69:11-26.
APA	Yao, Shanshan,&Jia, Xiaohong.(2019).mu-Bases for rational canal surfaces.COMPUTER AIDED GEOMETRIC DESIGN,69,11-26.
MLA	Yao, Shanshan,et al."mu-Bases for rational canal surfaces".COMPUTER AIDED GEOMETRIC DESIGN 69(2019):11-26.