基于形态变换及凸剖分的物体变形方法

A New Method of Objects Morphing Based on Morphology Transform and Convex Decomposing

提出了三维物体变形的形态变换方法，给出了方法的理论证明；用一个统一的数学模型来描述变形内插的关系，通过对凹物体的凸分解，并建立凸子集的映射，较好解决了任意非同拓扑结构物体的变形．实验表明这种方法是一种有效的变形方法，实现简单，变形效果好．

A new kind of morphology method of 3D objects morphing is proposed. The principle for the method is also proved. The relationship of morphing interpolation is described by a uniform math- ematics model. The problem of two arbitrary polyhedrons morphing is solved by decomposing the ob- ject into several individual convex subsets and constructing the mapping between two convex subsets. The experimental results show that the new method is good for morphing because it can eliminate the defect of the old method and simplify the computation.