Abstract: A X-ray imaging system has a moveable grid which rejects X-rays that were scattered by a body being imaged. During an X-ray exposure the grid is reciprocated to blur the shadow of the grid in the image. Upon commencement of an X-ray exposure, the grid is moved at decreasing rate in a first direction toward an end point of travel. When the grid is near the end point, the movement rate increases and continues at this faster rate before and after the grid reverses direction at the end point. A given distance after the direction reversal, the rate decreases to a slow constant rate.