【Key words】 Assembly dimension chain； Geometrical Product Specification； Feature； Mate Tree； Loop Circuit； Variational Geometric Constraints； Database； 3D CAD；
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Concept of variational geometric constraints network (VGCN) is presented, and application of the network to computer aided tolerancing is studied.
提出变动几何约束网络概念，并将此网络应用于计算机辅助公差设计领域。
The chapter establishes mathematic basis of the theories of variational geometric constraints network, which is presented in the following chapter.
本章为下一章的变动几何约束网络理论的建立奠定了坚实的数学基础。
Leading evaluation method into design process, the generation strategies of well-constrained VGCN is discussed, and the theories of variational geometric constraints network are established.
并将该评价方法引入设计过程，研究完全约束的变动几何约束网络的生成策略，从而建立了变动几何约束网络理论。
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