Abstract: A method for processing a digitized image is described. The method includes the step of first generating a digitized image using an image-measuring system and representing the image as a vector g. A point spread function (PSF), represented as the function k(x,y,z), is also determined, with the PSF containing sub-pixels having a closer spacing than points in the g. Both the vector g and the function k(x,y,z) are then processed by: (a) selecting a vector c; (b) calculating the value of ##EQU1## using the vectors g and c, and the function k(x,y,z); and, (c) iteratively repeating steps (a) and (b) to determine a value for c that minimizes .PSI.(c). The image is then reconstructed by substituting in ##EQU2## the value for c that minimizes .PSI.(c) so that the processed image contains sub-pixels having a closer spacing than the points of the vector g.

Abstract: An image restoration device restores images which are viewed through an optical member and stored in a data processor. Processing means associated with the data processor iteratively determine, for each point in a viewed image, a factor which minimizes noise and distortion at that point. The factor is iteratively determined through a division operation of a transform of a first function of a response function of the optical member and a transform of a second function of the response function. Preferably, the transform is a Fourier transform and the response function is the point spread function of the optical member. The processing means displays the restored image on a suitable display unit (e.g. a CRT).