Evaluation of form data using computational geometric techniques—Part I: Circularity error
Evaluation of form data using computational geometric techniques—Part I: Circularity error
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DOI：
10.1016/j.ijmachtools.2006.08.010
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发表时间：
2007-06
影响因子：
14
通讯作者：
N. Venkaiah;M. Shunmugam
中科院分区：
文献类型：
--
作者：
N. Venkaiah;M. Shunmugam
本工作涉及使用形状检测仪，即圆度/圆柱度测量仪获得的测量轮廓的形状误差的评估。在第一部分中，详细介绍了圆度评估。由于组件设置中的偏心和测量中固有的半径抑制，圆度误差必须参考limacon进行评估。提出了一种基于计算几何的最小外切、最大内接和最小区域轮廓的生成算法。介绍了一种直接绘制等角图的新型控制船体和一种新的更新方法。已与基准数据集和相应的结果在文献中进行了验证。作为基于几何的算法，它易于遵循，并且每个迭代都可以可视化和几何解释。与单纯形搜索方法相比，该算法被发现是计算效率的准确性和所需的时间。所提出的方法可以很容易地实现在计算机辅助圆度测量仪器。第二部分讨论了圆柱度误差评定工作的扩展。
The present work deals with evaluation of form error from the measured profiles obtained using a form tester, namely roundness/cylindricity measuring instrument. In Part I, details of circularity evaluation are presented. Due to eccentricity in component setting and radius-suppression inherent in the measurement, circularity error has to be evaluated with reference to a limacon. A computational geometry-based algorithm is proposed for establishing minimum circumscribed, maximum inscribed and minimum zone limacons. A new type of control hull for directly constructing equi-angular diagrams and a new procedure for updating are introduced. Validation has been done with bench-mark data set and corresponding results available in the literature. Being geometry-based algorithm, it is simple to follow and each iteration can be visualized and interpreted geometrically. On comparison with simplex search method, the proposed algorithm is found to be computationally efficient in terms of accuracy and time taken. The proposed methods can be easily implemented in computer-aided roundness measuring instruments. Extension of this work for evaluation of cylindricity error has been dealt in Part II.