Interpolating solid orientations with a C-2-continuous B-spline quaternion curve | |
Ge, Wenbing ; Huang, Zhangjin ; Wang, Guoping | |
2007 | |
关键词 | C-2-continuous interpolation quaternion B-spline curve computer animation |
英文摘要 | An algorithm is presented to construct a C-2-continuous B-spline quaternion curve which interpolates a given sequence of unit quatertrions on the rotation group SO(3). We present a method to extend a B-spline interpolation curve to SO(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 S-3. 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.; Computer Science, Artificial Intelligence; Computer Science, Information Systems; Computer Science, Theory & Methods; Imaging Science & Photographic Technology; CPCI-S(ISTP); 1 |
语种 | 英语 |
内容类型 | 其他 |
源URL | [http://ir.pku.edu.cn/handle/20.500.11897/293369] |
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 C-2-continuous B-spline quaternion curve. 2007-01-01. |
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