Non-uniform B-spline curves with multiple shape parameters

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	Non-uniform B-spline curves with multiple shape parameters
	Cao, Juan ; Wang, Guo-zhao ; Cao J(曹娟)
刊名	http://dx.doi.org/10.1631/jzus.C1000381
	2011-10
关键词	BEZIER CURVES C-CURVES SURFACES EXTENSION KNOT
英文摘要	National Natural Science Foundation of China [60970079, 60933008, 61100105, 61100107]; Natural Science Foundation of Fujian Province of China [2011J05007]; National Defense Basic Scientific Research Program of China [B1420110155]; We introduce a kind of shape-adjustable spline curves defined over a non-uniform knot sequence. These curves not only have the many valued properties of the usual non-uniform B-spline curves, but also are shape adjustable under fixed control polygons. Our method is based on the degree elevation of B-spline curves, where maximum degrees of freedom are added to a curve parameterized in terms of a non-uniform B-spline. We also discuss the geometric effect of the adjustment of shape parameters and propose practical shape modification algorithms, which are indispensable from the user's perspective.
语种	英语
出版者	J ZHEJIANG U-SCI C
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91051]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Cao, Juan,Wang, Guo-zhao,Cao J. Non-uniform B-spline curves with multiple shape parameters[J]. http://dx.doi.org/10.1631/jzus.C1000381,2011.
APA	Cao, Juan,Wang, Guo-zhao,&曹娟.(2011).Non-uniform B-spline curves with multiple shape parameters.http://dx.doi.org/10.1631/jzus.C1000381.
MLA	Cao, Juan,et al."Non-uniform B-spline curves with multiple shape parameters".http://dx.doi.org/10.1631/jzus.C1000381 (2011).