ABSTRACT This paper proposes a postprocessor which applies the appropriate rotation rules to reduce the kinematic error (KE). Our first contribution is an algorithm which minimizes the KE using the Hausdorff distance. The shortest path algorithm includes the constraints relevant to the limits of the linear and the rotation axis. The proposed procedure is compared with state-of-the-art methods. It demonstrates an advantage in terms of the kinematic error for test surfaces characterized by a sharp curvature. The second contribution is testing interpolation methods of the STL surfaces. The first step of this procedure is the evaluation of the tessellation error (TE), i.e., the difference between the actual surface and the local or global interpolation obtained from the STL file. The numerical results show that a simple local interpolation using normal vectors proposed by Nagata performs well. The method has been tested against several state-of-the-art interpolation procedures, demonstrating a significant advantage. The proposed elements are integrated into a postprocessor. The experiments have been performed on a virtual and the actual tilt-table five-axis machining center (Haas VF-2TR).

中文翻译：

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基于 Nagata 插补和旋转角度优化的 STL 曲面五轴加工后处理器

摘要 本文提出了一种应用适当的旋转规则来减少运动误差 (KE) 的后处理器。我们的第一个贡献是使用 Hausdorff 距离最小化 KE 的算法。最短路径算法包括与线性和旋转轴的限制相关的约束。将所提出的程序与最先进的方法进行比较。它展示了在以尖锐曲率为特征的测试表面的运动学误差方面的优势。第二个贡献是测试 STL 曲面的插值方法。此过程的第一步是评估镶嵌误差 (TE)，即实际表面与从 STL 文件获得的局部或全局插值之间的差异。数值结果表明，Nagata 提出的使用法向量的简单局部插值表现良好。该方法已经针对几种最先进的插值程序进行了测试，证明了显着的优势。建议的元素被集成到一个后处理器中。实验是在虚拟和实际倾斜工作台五轴加工中心 (Haas VF-2TR) 上进行的。