计算机图学中投影信息的生成——原理及基本数学模型

来源期刊：中南大学学报(自然科学版)1984年第2期

论文作者：杨文周

文章页码：10 - 22

关键词：计算机图学； 中心投影； 基本数学模型； 变换矩阵； 直角坐标系； 生成； 信息； 投影原理； 定位置； 物体位置

摘    要：本文阐述了计算机图学中投影算法与传统图学投影概念的相关性,提出了生成投影信息的一种新的体系,介绍了这一方法的原理、变换体制、符号系统、基本数学模型及算法。

Abstract: A more important problem in computer graphics, that is, the generation of projection information, has been discussed in this paper. The research on this shows that it is not only feasible, but also profitable to build the calculating method for the generation of projection information of three-dimensional objects on the basis of the viewpoints of traditional graphics. The transformation system and the mathematic models which are adopted in the tnethod possess some desirable features. The arrangement of ideas of the algorithm in this system wholly coincides with the conception of usual engineering drafting. Therefore, it is easy to understand and master it. The math models presented here are simple in form, and the parameters in them are complete and practical, and they are ready to meet various reguirements of graphic expression and able to guarantee the correctness of projection. The transformation system is flexible to use, and, especially, favourable for the discription of complex movement in dynamic display. In addition, the method adopted in this paper makes the projection math models have a unified common origin not only in the concept but in the calculating form which conforms to the laws of projection evolution.