超曲面:一种三维有限元数据场的造型表示方法

HYPERPATCH:A MODELING APPROACH TO REPRESENTING THREE DIMENSIONAL FEM DATA FIELD

文中着重研究三维有限元数据场的整体表示．论述了建立数据场整体表示的必要性，提出了采用高维空间中Ｂ样条超曲面的造型方法来表示数据场中对象的几何形体及物理量的分布．同时，在不影响数据场总体特征的前提下，通过超曲面单元的合并，减小了数据场的规模，以达到用较简单的数学表达式表示数据场的目的．另外。

This paper studies the entire expression of three dimensional finite element method volume data field. The importance of setting up the entire expression of data field is discussed, and B spline hyperpatch in large dimensions is adopted to represent the geometry shape and data distribution. Without transforming the entire feature, the neighbor elements are merged to reduce the scale of the data field in order to represent the data field by simple expressions. Furthermore, the iso surface extraction algorithm of FEM data field based on B spline hyperpatch is also provided.