Topological and Geometric Consistency in Boundary Representations of Solid Models of Mechanical Components
Topological and Geometric Consistency in Boundary Representations of Solid Models of Mechanical Components
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DOI：
10.1115/1.2919266
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发表时间：
1993-12
影响因子：
3.3
通讯作者：
A. Jablokow;J. Uicker;D. Turcic
中科院分区：
文献类型：
--
作者：
A. Jablokow;J. Uicker;D. Turcic
描述了一种检验机械零件边界表示(B-REP)实体模型拓扑图和几何图的一致性(即一致性)的方法。这种验证非常适合作为算法实现，并已在多面体边界表示实体建模系统中实现(Jablokow，1989)。此技术和算法在设计文档的机械零部件设计、与分析和制造应用程序的集成以及实体造型系统之间的设计数据交换中非常重要。有关边界表示的信息通常分为几何和拓扑。对于有效的实体模型，两者必须一致，这一点很重要。在这项工作中，实体模型的亏格被计算的拓扑学和几何，然后比较，以验证实体模型的一致性。对象的亏格可以洞察该对象的几何复杂性。这相当于验证了该模型的Gauss-Bonnet定理，并在文中进行了讨论。
This paper describes a method of verifying the consistency (i.e., agreement) between the topology and geometry of boundary representation (B-rep) solid models of mechanical components. This verification is well-suited for implementation as an algorithm and has been implemented as such in a polyhedral boundary representation solid modeling system (Jablokow, 1989). This technique and algorithm is important in the design of mechanical components for design documentation, integration with analysis and manufacturing applications, and design data exchange between solid modeling systems. Information regarding boundary representations has typically divided into the geometry and topology. It is important that the two are consistent for a valid solid model. In this work the genus of a solid model of an object is calculated topologically and geometrically and then compared to verify the consistency of the solid model. The genus of an object gives insight as to the geometric complexity of the object. This is equivalent to verifying the Gauss-Bonnet Theorem for the model, and is discussed in the paper.