基于角度插值的三角网格变形算法

该文给出了一种仅通过插值角度来实现任意网格变形的方法。首先给出了描述任意三角网格各顶点相对位置的内在角度集,其中给出的角度变量相对于欧氏变换是不变的,并且由角度变量可唯一地确定三角网格的形状和大小。通过插值角度变量,给出中间网格变形序列。该文算法计算速度快,可以达到实时的要求,而且插值网格的形状与首末网格的位置和朝向无关。实验结果表明,按该文算法产生的变形序列过渡平滑,稳定性强。

Morphing between Triangular Meshes Based on their Angular Variables

This paper presents a solution to the interpolation of transforming one triangular mesh into another triangular mesh based on their angular definitions.Rather than considering a triangular mesh as a set of independent points,the solution treats a triangular mesh as a set of angular variables,which describes the basic geometric nature of the triangular mesh.The correspondent angular variables of the initial and the final meshes are interpolated to determine the intermediate mesh.This approach is easy and fast enough in fully interactive time.The algorithm is robust and produces satisfactory results.