Motion blur often limits the quality of photographs and can be caused by either the shaking of the camera or the movement of objects in the scene. Modern cameras use image stabilization methods to address camera motion; however, these techniques do not help with moving objects. Eliminating blur is challenging because the blur kernel is unknown, varies over the image as a function of object velocity, and destroys high frequencies. The Inventors observed that these challenges can all be addressed if motion is restricted to a 1D (e.g. horizontal) set of velocities. Using standardized camera hardware, they make an image's point-spread function (PSF) invariant to motion and therefore easy to invert.