中文摘要：

为了直观、精确地控制模型的形变,提出一种基于自定义四面体坐标系的三维变形计算方法.首先从几何上给出四面体坐标系的定义,阐述并证明了其关于几何变换的一些性质,使得拓扑变形易于实现,并可应用在三维变形技术中;然后描述了基于四面体坐标系的2种三维变形算法：嵌入式变形与基于特征的精确变形算法.通过多个变形实例结果证明,该方法能够有效地实现物体的变形以及物体间的渐变.

英文摘要：

In order to control the deformation of model directly and accurately, a method based on self-defined tetrahedron coordinate system is proposed for 3D deformation. Firstly, the definition of the tetrahedron coordinate system is given, and some theorems are discussed, which can be applied in 3D deformation and 3D morphing and make topological transformation easy. Secondly, the details of two 3D deformation algorithms are presented： embedded deformation and precise deformation based on features. The experimental results obtained show that the proposed method is effective for 3D deformation and 3D morphing.