基于形态学的任意三维物体变形的算法及实现

An Algorithm of 3D Objects Morphing and Its Implementation Based on Morphology

提出三维物体变形的形态学方法，给出了此方法的理论证明，用一个统一的数学模型来描述变形内插的关系，较好地解决任意形状物体的变形。实验表明这种方法是一种有效的变形方法，克服了现有方法的缺点，实现简单，并可推广至一般的造型系统中，为计算机图形学开辟了一种新途径。

A new morphology method of 3D objects Morphing is proposed and the principle of the method is proved. The relationship of morphing interpolation is described by a uniform mathematics model and the problem of two arbitrary polyhedrons morphing is solved. Experimental results show that the new method is good for morphing and the defect of old method is overcome. It's very easy to complete and the method can be popularized to modeling system.