Phase-shifting profilometry has limitations in that any motion during the capture process can introduce errors. In this paper, we propose a method to reduce motion-induced errors at the pixel level by leveraging the velocity profile of the linear stage and the pinhole model of the camera and the projector when the digital fringe projection system is in motion on a linear stage. Our approach utilizes only three fringe patterns, applying geometric constraints of the digital fringe projection system. It consists of camera pixel correction and phase shift error correction. Experimental results demonstrate that the proposed method effectively reduces motion-induced errors, resulting in improved quality.