藕节状四面体坐标系网格及其应用

Presentation and Applications of Lotus-root-shaped Grid of Tetrahedron Coordinate Systems

为实现不同模型之间特征对应的光滑渐变,提出一种直接建立模型间对应关系的方法.根据输入模型的结构特点,首先将模型划成对应的若干部分,并对各部分依据特征进行相同的类球状四面体网格划分;然后针对每组四面体内的数据,通过计算确定源模型上的每个点在目标模型中的对应点;最终从整体上实现源模型到目标模型的直接对应.由于各部分类球状四面体网格的连接形似藕节,且对应关系的建立主要基于四面体坐标系,因而称总网格为藕节状四面体坐标系网格.多个实例结果证明,该方法能够有效地实现模型间特征对应的渐变.

To achieve smooth morphing between different models with features correspondence,a method of directly establishing correspondences is proposed.Firstly according to the structural characteristics of the input models,divide them into several corresponding parts,and then generate same spherical tetrahedron mesh for each part.Secondly through relevant calculation,find the corresponding point in the target model for each point from source model in each tetrahedron.Finally establish the direct correspondence on the whole.Since the connection of spherical tetrahedron mesh shapes like lotus root,and the calculation for correspondence is mainly based on tetrahedron coordinate system,then we call the generated grid lotus-root-shaped grid of tetrahedron coordinate systems.The experiment results show that this method can effectively realize3D morphing with features correspondences.