基于自由度分析的三维模型几何约束求解

3D Geometric Constraint Solving Based on DOF Analysis

针对三维几何约束模型的求解问题,在充分研究了二维几何约束模型自由度分析技术的基础上,采用几何推理的方法,给出了一种三维模型几何约束求解的自由度分析算法,该算法可归纳为活动分析和场所分析两个过程。算法为三维几何约束模型提供了一种求解方案,解决了过约束和欠约束状态时的约束求解问题,并展示了一个实例。

In order to solve the problem of 3D geometric constraint model, a DOF analysis algorithm for solving 3D geometric constraint model using geometrical reasoning is provided after studying the DOF analysis technique for 2D geometric constraint model. The running of the algorithm can be divided into two procedures： action analysis and locus analysis. This algorithm can solve 3D geometric constraint model, especially for over-constraint or under-constraint models. An example is described.