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首页> 外文会议>World Multiconference on Systemics, Cybernetics and Informatics and 5th International Conference on Information Systems Analysis and Synthesis Vol.7: Industrial Systems, Jul 31-Aug 4, 1999, Orlando, Florida >Surface Classification for Boolean Operations on Solids
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Surface Classification for Boolean Operations on Solids

机译：实体布尔运算的曲面分类

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摘要

Classification of surfaces intersection, in the context of solids algebra is discussed in this paper. In any boolean operation on solids, intersection curves between faces delimiting each solid axe computed and used to subdivide faces and to define the new solid boundaries. The classification approach defined here uses a new paradigm: the fuzzy geometry. A fuzzy face is computed for each solids' face and used to determine its intersection status. The fuzzy faces intersection algorithm is able to find intersecting couples of faces and provides a detailed classification that specifies the number (simple or multiple) and the kind (open or closed) of each intersection. After a brief description of the fuzzy geometry, of its entities and its algorithms, the classification algorithm is presented, results obtained by the application of this algorithm onto some practical examples are shown and commented.
机译：本文讨论了在固体代数背景下的曲面相交分类。在对实体的任何布尔运算中，定界每个实体轴的面之间的相交曲线已计算并用于细分面和定义新的实体边界。此处定义的分类方法使用了新的范例：模糊几何。为每个实体的面计算一个模糊面，并用于确定其相交状态。模糊人脸交集算法能够找到相交的人脸，并提供详细的分类，指定每个交集的数量（简单或多个）和种类（开放或封闭）。在对模糊几何结构，其实体和算法进行了简要描述之后，提出了分类算法，并通过在一些实际示例上应用该算法获得了结果。

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