In phase-shifting profilometry (PSP), any motion during the acquisition of fringe patterns can introduce errors because it assumes both the object and measurement system are stationary. Therefore, we propose a method to pixel-wise reduce the errors when the measurement system is in motion due to a motorized linear stage. The proposed method introduces motion-induced error reduction algorithm, which leverages the motor's encoder and pinhole model of the camera and projector. 3D shape measurement is possible with only three fringe patterns by applying geometric constraints of the digital fringe projection system. We address the mismatch problem due to the motion-induced camera pixel disparities and reduce phase-shift errors. These processes are easy to implement and require low computational cost. Experimental results demonstrate that the presented method effectively reduces the errors even in non-uniform motion.

翻译：在相移轮廓测量（PSP）中，由于该方法假设物体和测量系统均保持静止，因此在采集条纹图案过程中任何运动都会引入误差。为此，我们提出一种像素级减小由电动线性平台引起的测量系统运动误差的方法。该方法引入运动诱导误差减小算法，该算法利用电机编码器以及相机和投影仪的针孔模型。通过应用数字条纹投影系统的几何约束，仅需三幅条纹图案即可实现三维形貌测量。我们解决了由运动引起的相机像素失配问题，并减小了相移误差。这些处理过程易于实现且计算成本低。实验结果表明，即使在非匀速运动情况下，所提出的方法也能有效减小误差。