变量化设计中的多解性问题  

THE MULTI SOLUTION PROBLEM IN VARIATIONAL DESIGN

作　　者：袁波[1] 胡事民[1] 孙家广[1] 

机构地区：[1]清华大学计算机科学与技术系,北京100084

出　　处：《计算机研究与发展》2000年第1期86-94,共9页Journal of Computer Research and Development

基　　金：国家自然科学基金!(项目编号96772019)

摘　　要：在变量化设计过程中往往存在多解性，从所有可能的解中找出符合设计意图的有效解是变量化设计中的一个重要问题．导致变量化设计存在多解性的主要原因是：①几何约束系统处于欠约束状态；②约束方程（组）的数学性质引起的多解性．文中讨论了在几何约束系统的分解过程和约束方程（组）的求解过程中的多解性情况。The multi solution problem commonly exists in a variational design system. It is a very important problem for finding the intended design from all of the possible solutions. The main causes of muti solution are: ① the geometric constrained system is underconstrained; ② the numerical properties of constraint equations. The muti solution problem in the decomposition of geometric constrained system and in the solution process of constraint equations is discussed in the present paper. Using the geometric information contained in the design object, how to find the valid solution that meets the design intent is also discussed.

关 键 词：几何约束系统 变量化设计 CAD 多解性 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]