Evaluation of sphericity error from form data using computational geometric techniques
Evaluation of sphericity error from form data using computational geometric techniques
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DOI：
10.1016/s0890-6955(01)00124-9
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发表时间：
2002-02-01
影响因子：
14
通讯作者：
Shunmugam, MS
中科院分区：
文献类型：
--
作者：
Samuel, GL;Shunmugam, MS
用于球度误差评估的测量数据可以从检测设备（如形状测量仪器/装置）中获得。由于这些测量中固有的未对准和尺寸抑制，获得的球度数据将失真。因此，球度误差是参考评估特征（称为limacoid）进行评估的。基于计算几何学的适当方法已经被开发来建立最小外切、最大内切和最小区Limacoids。目前的方法开始与建设的3-D船体。一个3-D凸外船体建立使用计算几何概念目前可用。本文采用启发式方法建立三维内船体。基于三维等角线的新概念，构造了三维最远等角图或最近等角图，用于建立评价唇状体。在目前的工作中提出的算法实现和验证与模拟数据和文献中的数据。(C)2002爱思唯尔科技有限公司版权所有。
The measurement data for evaluation of sphericity error can be obtained from inspection devices such as form measuring instruments/set-ups. Due to misalignment and size-suppression inherent in these measurements, sphericity data obtained will be distorted. Hence, the sphericity error is evaluated with reference to an assessment feature, referred to as a limacoid. Appropriate methods based on the computational geometry have been developed to establish Minimum Circumscribed, Maximum Inscribed and Minimum Zone Limacoids. The present methods start with the construction of 3-D hulls. A 3-D convex outer hull is established using computational geometric concepts presently available. A heuristic method is followed in this paper to establish a 3-D inner hull. Based on a new concept of 3-D equi-angular line, 3-D farthest or nearest equi-angular diagrams are constructed for establishing the assessment limacoids. Algorithms proposed in the present work are implemented and validated with the simulated data and the data available in the literature. (C) 2002 Elsevier Science Ltd. All rights reserved.