Input data comprising a video signal is processed using a combination of a known image processing method to deblur, or sharpen, the image and convolution with Pixon kernels for smoothing. The smoothing process utilizes a plurality of different size Pixon kernels which operate in parallel so that the input data are convolved with each different Pixon kernel simultaneously. The smoothed image is convolved with the point response function (PRF) to form data models that are compared against the input data, then the broadest Pixon kernel that fits the input data within a predetermined criterion are selected to form a Pixon map. The data are smoothed and assembled according to the Pixon map, then are deconvolved and output to a video display or other appropriate device, providing a clearer image with less noise.