Smooth orientation interpolation using parametric quintic-polynomial-based quaternion spline curve

Author:

Tan Jieqing,Xing Yan,Fan Wen,Hong Peilin

Funder

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference19 articles.

1. On quaternions;Hamilton;Proc. R. Ir. Acad.,1847

2. Animating rotation with quaternion curves;Shoemake;ACM SIGGRAPH Comput. Graph.,1985

3. A general construction scheme for unit quaternion curves with simple high order derivatives;Kim,1995

4. M.J. Kim, M.S. Kim, S.Y. Shin, A C2-continuous B-spline quaternion curve interpolating a given sequence of solid orientations, in: Proceeding of IEEE Computer Animation, 1995, pp. 72–81.

5. ν-quaternion splines for the smooth interpolation of orientations;Nielson;IEEE Trans. Vis. Comput. Graphics,2004

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