| 四元数及其在计算机动画中的应用 |
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| 引用本文： | 金小刚,彭群生.四元数及其在计算机动画中的应用[J].计算机辅助设计与图形学学报,1994,6(3):174-180. |
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| 作者姓名： | 金小刚 彭群生 |
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| 作者单位： | 浙江大学ＣＡＤ＆ＣＧ国家重点实验室 |
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| 摘 要： | 本文介绍了四元数的性质，证明了单位Ｒ_４球面上的两个四元数线性插值公式，提出了用三次Ｃ样条曲线进行四元数光滑插值的方法，指出ｐｌｅｔｉｎｃｋｓ在将四元数应用于绘制时所用的方法本质上是角度线性插值。本文所做的工作不仅可加深对四元数在单位Ｒ_４球面线性插值的理解，而且在计算机动画实践中也有一定的意义
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| 关 键 词： | 四元数 计算机动画 C样条 |
QUATERNION AND ITS APPLICATION IN COMPUTER ANIMATION |
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| Jin Xiaogang and Peng Qunsheng.QUATERNION AND ITS APPLICATION IN COMPUTER ANIMATION[J].Journal of Computer-Aided Design & Computer Graphics,1994,6(3):174-180. |
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| Authors: | Jin Xiaogang and Peng Qunsheng |
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| Abstract: | The rotations of rigid objects are described by a four coordinate system called quaternion. The properties of quaternion are introduced.Two formulae for spherical quaternion linear interpolation are offered.A smooth quaternion inbetweening technigue is proposed based on the cubic cardinal-spline curve.An intuitive understanding of the role of quaternion in rendering is given. |
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| Keywords: | quaternion computer animation cubic cardinal-spline linear interpolation |
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