Sweeping体及其稳定的布尔运算

本文着重研究Sweeping体的数学原理,合法Sweeping形体的定义法则,合法性的检验原理及离散化过程。在此基础上,本文进一步分析了影响多面体布尔运算稳定性的因素,探讨了稳定的布尔运算方法。本文所提出的基于Sweeping广义体素构造法则的造型系统是一种工具化的系统。用户所用的体素库可以由体素构造法则生成,体素是由元素及其运动方式来定义的。布尔运算器可以接受由任一体素构造法则生成的体素,进行稳定的布尔运算。

Sweeping Solids and Robust Set Operation

The mathematical principle for sweeping solids, the valid sweeping solid defining rules, the principle of validity check and the discretization procedure are discussed. The factors influencing the stability of Boolean operation are analyzed, and a robust set operating algorithm on sweeping solids is proposed, The generalized sweeping primitives and the robust set operating algorithm proposed have been used in a feature solid modelling tool system (FSMTS) developed at the author's university. A user-defined primitive base can be generated by FSMTS, in which the primitives are defined by a set of generating-line-elements and their sweeping method. Each primitive created by FSMTS can be accepted by a standard Boolean operating processor, and robust set operations can be carried out.