体素及其拼合运算的理论探讨

当前,计算机图形显示技术中的重要课题之一是三维几何造型技术的研究,它不仅是构造真三维图形软件的基础,而且也是CAD/CAM技术中的关键技术.作为三维几何造型的基础是体素及其对体素的各种拚合运算.本文以作者在微型机上研制开发的二次曲面体造型系统ASMS和平面多面体造型系统PDLS为实验基础,探讨了三维几何造型技术中体素及其拚合运算的基本理论.从三维形体及其它的正则性到体素及其拚合运算都给出了较为确切的定义,并对由某些定义推出的若干结论进行了详细的证明.在本文的最后给出了根据这些基本理论研制的ASMS系统和PDLS系统运行的部分结果.

Investigation of the Operation about the Primitive Solid

Three dimensionaI(3D) space solid modelling is one of the most important problems in the computer graphlcs.It is not only the basis of true 3D graphic software, but also the key of the CAD/CAM techniques. But the basis of the 3D solid modelling is the operation about the primitive solid.In this paper, some theories about them are presented according to the quadric solid modelling system (ASMS) and the plane solid modelling system (PDLS) which are all developed by the author. And some definitions are given,from which some conclusions are proved.The final part of this paper shows some of the pictures produced by running ASMS and PDLS.