优化法求解几何约束的问题

Solution of Optimization with Geometric Constraint

几何约束的求解对于变量设计系统是最为关键的问题 ,提出用优化求解的方法来求解循环约束 ,一定程度上克服了Newton -Raphson算法的不稳定性 。

It is the key problem for variable design system to satisfy the geometric constraint. The current method can't solve problem with over-constrain and under-constrain, and be indispensable for building a practical system. The traditional method such as Newton-Raphson process is fast, but insatiable. The paper puts forward a optimization way that is stable and sensitive to initial value. It can easily solve over-constrained and under-constrained problem, and combine with the other constraint problem in CAD system.