目前業界對於加工精度的要求日益提高，除了探討加工及量測的性質以提高加工精度之外，最重要及最根本的就是機台幾何誤差的影響。以三軸加工機來說，就有21項靜態幾何誤差。而這些誤差當中基礎且重要的誤差就是定位誤差，基本上所有做精密加工的數值控制加工機，一定會有定位誤差補償的功能，定位誤差如果不能進行準確的補償，則會影響到加工精度及線上量測數值。
本論文主要探討俯仰角度誤差所造成的阿貝誤差對於Y軸空間誤差的影響。利用雷射量測儀量測機台的俯仰角度誤差及空間中不同位置處的定位誤差值的方式, 以驗證俯仰角度所造成的阿貝誤差是影響定位誤差於不同空間而有所差異的主要因素，並利用阿貝誤差及定位誤差來建立Y軸向空間誤差。最後比較有考量阿貝誤差及未考量阿貝誤差的補償值的加工結果，以三次元量測儀量測物件理想值與實際值的差異以檢驗加工機補償後的加工精度，考量阿貝誤差的加工平均誤差為1.7 µm，未考量阿貝誤差的加工平均誤差為3.6 µm，考量阿貝誤差的結果的確有改善機臺加工精度約1.9 µm。

At present, the industry's requirements for machining accuracy are increasing. In addition to studying the nature of machining and measurement to improve the accuracy, the most important and fundamental issue is the influence of the machine’s geometric errors. For a three-axis machine, there are 21 geometric errors. Among these errors, the most critical one is the positioning error. All computer numerical control machine tools have the function of error compensation. If the positioning error cannot be accurately compensated, it will affect the machining accuracy and on-machine measurement results.
The objective of the paper is to use the laser Interferometer to evaluate the effect of the Abbe error, which was caused by the pitch angle error, on spatial errors along the y-axis. The y-axis spatial error was established by using the Abbe error and positioning error. Finally, the machining results of considering the Abbe error in the compensation and those without considering the Abbe error in the compensation were compared. The difference between the ideal dimensions and the actual dimensions of the machined object was measured by a coordinate measuring machine to understand the machining accuracy. The average machining error with the consideration of the Abbe error was 1.7 μm, and that without the consideration of the Abbe error was 3.6 μm. The results show that the improvement was 1.9 μm.

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