组合造型的数学模型和实现方法

THE MATHEMATICAL MODEL AND APPLICATION OF GROUP SOLIDING

本文介绍一种三维仿真系统的数学模型及其实现方法。在模型中采用旋转母线法和双轨迹法生成三维基本形体，然后运用系统的组合作图功能，由基本形体生成复杂的物体。本文给出组合作图的概念，提出了多级树处理方法以及相应的数据结构。此外还讨论了三维仿真模型的纹样处理、光学模型以及消隐算法等。

A mathematical model and its application of a 3D modeling are put forwardin this paper. In the model a 3D basic object is made by rotating a maternal curve orby moving bi-trace. A complicated object is formed from the basic object using groupsoliding.A conception of object group, its processing method of multilevel trees anddata-structure are given out. The surface pattern,the illumination model and shadingmethod are also discussed in this paper.