Gear production demands high-precision metrology, for which a holistic evaluation approach of the geometric data is proposed to overcome current restrictions. The holistic approximation with integrated partitioning and iterative root point calculation can cope even with modified flanks and is validated for gear parameter estimation with systematic deviations <0.2 µm. Apart from low signal-to-noise-ratio cases, where the approximation suffers from the multidimensionality of the optimization, the accuracy of standard evaluation procedures is achieved. Furthermore, holistic approximation is able to perform the required mathematical separation of the integral geometric elements of a tooth flank automatically when determining unknown gear parameters.

齿轮生产需要高精度计量，为此提出了一种几何数据的整体评估方法来克服当前的限制。具有集成分区和迭代根点计算的整体近似甚至可以处理修改后的侧面，并在系统偏差 <0.2 µm 的齿轮参数估计中得到验证。除了低信噪比情况（其中近似值受优化的多维性影响）之外，还实现了标准评估程序的准确性。此外，在确定未知齿轮参数时，整体近似能够自动执行齿面整体几何元素所需的数学分离。