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	Interpolating solid orientations with a C2 -Continuous B-spline quaternion curve
	Ge, Wenbing ; Huang, Zhangjin ; Wang, Guoping
	2007
英文摘要	An algorithm is presented to construct a C2-continuous B-spline quaternion curve which interpolates a given sequence of unit quaternions on the rotation group 50(3). We present a method to extend a B-spline interpolation curve to 50(3). The problem is essentially to find the quaternion control points of the quaternion B-spline interpolation curve. Although the associated constraint equation is non-linear, we can get the accurate quaternion control points according to two additional rules for quaternion computations in S3. In addition, we provide a point insertion method to construct interpolation curves that have local modification property. The effectiveness of the algorithm is verified by applying it to some examples. ? Springer-Verlag Berlin Heidelberg 2007.; EI; 0
语种	英语
内容类型	其他
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/328445]
专题	信息科学技术学院
推荐引用方式 GB/T 7714	Ge, Wenbing,Huang, Zhangjin,Wang, Guoping. Interpolating solid orientations with a C2 -Continuous B-spline quaternion curve. 2007-01-01.

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