通用几何约束求解引擎关键技术研究

依据二、三维几何约束系统内在相同的约束满足机理 ,借鉴多体系统分析的欧拉参数表达方法 ,提出了简洁、统一的约束分量表达方法 ;采用有向图表达并管理几何约束系统 ,将成功于二维变量几何的稀疏代数结构分解引入三维几何约束的分解规划 ,为实现二、三维几何约束系统的统一建模 ,奠定了理论算法基础

An approach of a general geometry constraint engine:constraint broadcasting automation

Referred to the Euler parameters in multibody system, firstly it is presented that the general constraint relation can be represented laconically as a group of constraint components.Secondly based on a directed graph representation of geometry constraints. system, the decomposition technology of sparse algebraic structure, succeeded in 2D variational geometry , is introduced into decomposition planing of 3D geometry constraints. All these establish the algorithms of unified and a general geometry constraint engine.