A United Modeling Method of Generalized Geometric Constraint System

A united modeling method of the generalized geometric constraint system is investigated based on expressing geometric constraints and geometric constraints and Euler parameter, respectively. After analyzing the decoupled property of orientation and position constraints related to spatial geometric elements, the basic bodies are summarized into a ball, box and ball-box body to express spatial geometric elements, together with assembly constraints expressed by a combination of basic constraints, which forms a particular hierarchical structure of a geometric constraint model. The geometric constraint system is coded as a directed geometric constraint graph which describes the relation between the basic geometric elements. The model method can reflect the decoupled property of orientation and position constraints clearly and is propitious to discriminate redundant constraints. This method has been implemented in a prototype system WhutVAS.