三维实体的体几何模型

在科学可视化，体图形学及有限元等许多应用问题中，都需要处理三维实体的内部、从点集拓扑体模型的思想出发，实体内部的属性及结构可看作三维实体占据的空间位置的函数，该文 体几何模型描述三维形体占据的空间位置，并给出构造体几何模型的一些简单方法，体几何模型是三参量模型，容易离散化所需计算量及存储量皆很少，体几何模型可用于三维实体的有限元剖分，实体内部的可视化与体图形学等领域中。

VOLUMETRIC GEOMETRIC MODEL OF 3D OBJECT

In many applications, such as volume graphics, scientific visualization,finite element analysis and etc., the interior of solids are necessarily described.In point topologic models,the attributes of objects and their interiors are considered as function of their positions in space. In this paper,the volume geometric model is defined to represent the space occupied by solid object,and a simple method building the volume geometric model of solids is presented, which needs less computation and storage. Volume geometric model is a tri parametric model and can be applied in interior visualization of solids, finite element analysis and volume graphics.