闭路拓扑原理和欧拉公式是检验实体模型边界表示的拓扑与几何一致性的重要工具。

For inspecting topological and geometrical unanimity of a solid model, principle of closed path topology and Euler′s formula are important tools.

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雕塑实体模型通过裁剪曲面片和半边数据结构来表达几何和拓扑信息。

The topology and geometry of solid is represented by trimmed curve surface and half-edge data structure.

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根据结构实体几何法（CSG）建模思想，采用层次化、结构化的建模方法，构建了机床本体（包括刀具）模型；

On the basis of the idea of CSG modeling method, the hierarchical structural modeling method was adopted to construct machine(including tool)model.

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