Sphericity Evaluation Using Maximum Inscribed Sphere Method
Sphericity Evaluation Using Maximum Inscribed Sphere Method
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DOI：
10.1016/j.proeng.2011.11.2728
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
Meng Fanwua;Xu Chunguang;L. Haiming;Hao Juan
中科院分区：
文献类型：
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作者：
Meng Fanwua;Xu Chunguang;L. Haiming;Hao Juan
最大内切球法是评定球度误差的一种重要方法，适用于材料条件最大为凹面的球体。证明了一个数据点集的管理信息系统只由四个点决定。提出了一种基于管理信息系统的球度评定算法。选取具有极值坐标的6个点作为初始子集，由其中的4个点构成管理信息系统。集合中距离中心最远的另一个点每次替换前四个点中的一个。根据最小准则，当所有数据点都在球面外时，最终球面就是数据点集合的管理信息系统。验证结果表明，该策略提供了一种在较少的迭代圈内识别控制数据点的有效方法，并为解决球度问题提供了一种有效的方法。
The maximum inscribed sphere (MIS) method is an important method to evaluate sphericity error suitable for the sphere with the maximum material condition of a concave. It is proven that the MIS of a data point set is decided only by four points in the paper. An algorithm of sphericity evaluation based on the MIS is proposed. Six points with extreme coordinates are selected as an initial subset and the MIS is constructed by four of them. Another point which is the farthest from the center among the set replaces one of the former four points each time. According with the minimum criterion, the final sphere is just the MIS of the data point set when all data points is outside the sphere. The validated results show that the proposed strategy offers an effective way to identify the control data points at few iterative turns and gives an efficient approach to solve the sphericity problems.