Error bounds for Loop subdivision surfaces

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	Error bounds for Loop subdivision surfaces
	Zhou, Guorong ; Zeng, Xiao-Ming ; Ceng XM(曾晓明)
刊名	http://dx.doi.org/10.1080/00207160.2013.807917
	2014
英文摘要	National Natural Science Foundation of China [61170324, 61100105]; In this paper, we obtain the error bounds on the distance between a Loop subdivision surface and its control mesh. Both local and global bounds are derived by means of computing and analysing the control meshes with two rounds of refinement directly. The bounds can be expressed with the maximum edge length of all triangles in the initial control mesh. Our results can be used as posterior estimates and also can be used to predict the subdivision depth for any given tolerance.
语种	英语
出版者	TAYLOR & FRANCIS LTD
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91381]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Zhou, Guorong,Zeng, Xiao-Ming,Ceng XM. Error bounds for Loop subdivision surfaces[J]. http://dx.doi.org/10.1080/00207160.2013.807917,2014.
APA	Zhou, Guorong,Zeng, Xiao-Ming,&曾晓明.(2014).Error bounds for Loop subdivision surfaces.http://dx.doi.org/10.1080/00207160.2013.807917.
MLA	Zhou, Guorong,et al."Error bounds for Loop subdivision surfaces".http://dx.doi.org/10.1080/00207160.2013.807917 (2014).