关联图形与曲线参数化的拓扑学原理  

The topological principle of parametric design in relating graph and curve

作　　者：金建国[1] 

机构地区：[1]浙江工业大学理学院,浙江杭州310032

出　　处：《浙江工业大学学报》2012年第5期528-531,共4页Journal of Zhejiang University of Technology

基　　金：浙江省自然科学基金资助项目(Y1100837)

摘　　要：基于关联图形和曲线参数化的拓扑学原理,虽然至今已有很多文献讨论参数化设计,但都是关于在工程应用技术方法上的,还没有文献讨论过参数化的拓扑学原理,因此这是在该方面的一个新尝试.目前,参数化技术已从原来基于低层次线素点、线、圆、圆弧向更高层次的关联图形与曲线参数化发展,这里主要对关联图形的集合表达形式、基于粘连映射和闭集公理的自组织联动,以及到曲线推广的拓扑学原理进行了研究.最后,对曲线参数化的难点进行了讨论.The paper presents the topological principles of parametric design relating graphs and curves. There are many papers discussed parametric design now, but there is no paper focusing on the engineering techniques and the topological principle. So this work is a novel method in these areas. Nowadays, parametric technology is developed from the original low-level elements, such as point, line, circle and arc, to the higher level elements such as relating graph and curve. So the principles of set expression, self-organization based on adhesion mapping and closed set axiom for relating-graph and curves are studied. Finally, the difficulty of curve parametric design is discussed.

关 键 词：参数化设计 关联图形 曲线 

分 类 号：TP302[自动化与计算机技术—计算机系统结构] TH122[自动化与计算机技术—计算机科学与技术]