基于连通性转换的三维多面体快速变形

Fast Metamorphosis of 3D Polyhedral Models Based on Connectivity Transformations

研究了连通性转换方法,并将其应用于多面体快速变形。采用优先权控制函数控制模型特征,且可以实现点和边的同步处理。通过预先安排连通性转换提高了变形速度,通过解一个稀疏线性方程组缩短变形片的嵌入时间。之后,矫正特征点以及边界处理得到平滑变形序列。用该方法和传统变形方法分别演示了三维多面体模型的变形实例,并对实验结果和相关数据进行了分析比较。实验结果表明,该变形方法可快速实现平滑变形。

The connectivity transformation is studied, and is applied to the fast metamorphosis of polyhedral. In order to control the model features in the process of metamorphosis, the priority control function is used to handle both vertex and edge at the same time. The scheduling connectivity transformations operation advances the speed of morphing. A sparse linear system decreases the time of embedding patches. In addition, it takes advantages of shape smooth by using rectifying feature points and boundary handling in the morphing sequence. This fast method and the former morphing measure are respectively demonstrated with the metamorphosis of 3D polyhedral models, and the results analysis is given. The experiment results show that this method can implement fast and smooth metamorphosis.