An image processing system includes a wavefront coding element that codes a wavefront forming an optical image, a detector for converting the optical image to a data stream and an image processor for processing the data stream with a reduced set filter kernel to reverse effects of wavefront coding and generate a final image. The reduced set filter kernel may include a reduced set distributive filter kernel. An image processing method includes wavefront coding a wavefront that forms an optical image, converting the optical image to a data stream, and processing the data stream with a reduced set filter kernel to reverse effects of wavefront coding and generate a final image. The processing consists of processing the image, for each pixel, with filter tap logic consisting of a shifter.