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根据当前几何造型的发展趋势，制造业对非闭曲面设计的迫切需求，以及为发展集成几何造型系统的造型手段，本文对一般组合曲面的造型理论作了探讨，提出了组合曲面邻域半空间新概念，建立了空间点对组合曲面的分类体系。为组合曲面造型手段的符号化奠定了理论基础。在此基础上，作者研究了基于组合曲面的集合运算、欧拉操作，并提出了对组合曲面操作的一个新的符号算子──ＴＧ操作。
According to the development trend of the current geometric modeling, the urgent need of the manufacturing industry for the design of the non-closed curved surface, and the modeling method for developing the integrated geometric modeling system, this paper discusses the modeling theory of the general composite curved surface, New concepts, the establishment of a space point on the combination of surface classification system. It has laid a theoretical foundation for the symbolization of the combined surface modeling. Based on this, the author studied the set operation based on the combination surface and the Euler operation, and proposed a new symbol operator for the combination surface operation - TG operation.