Interpolation by Loop's subdivision functions

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	Interpolation by Loop's subdivision functions
	Xu, GL
	2005-05-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	23 期号:3 页码:247-260
摘要	For the problem of constructing smooth functions over arbitrary surfaces from discrete data, we propose to use Loop's subdivision functions as the interpolants. Results on the existence, uniqueness and error bound of the interpolants are established. All efficient progressive computation algorithm for the interpolants is also presented.
关键词	interpolation Loop's subdivision function
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000228808100003
出版者	VSP 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/1746
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, GL
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xu, GL. Interpolation by Loop's subdivision functions[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2005,23(3):247-260.
APA	Xu, GL.(2005).Interpolation by Loop's subdivision functions.JOURNAL OF COMPUTATIONAL MATHEMATICS,23(3),247-260.
MLA	Xu, GL."Interpolation by Loop's subdivision functions".JOURNAL OF COMPUTATIONAL MATHEMATICS 23.3(2005):247-260.