When considering a path given as a sequence of GPS points, this path is often noisy and erratic because of poor accuracy of GPS receiver. Since the points are often recorded periodically, it seems appropriate to restore the smoothness of the trajectory by window-filtering the sequence in order to align them in order. However, to smooth an actual trajectory, it is typically required to take wide window for filtering. Wide windows introduce a substantial value of trajectory shift on turns towards the center of the turn. Current article proposes a simple yet efficient method for restoring the in-turn displacement for effective use of window filtering without involving knowledge about actual motion of the GPS receiver.