1. A method of operating an image processing system, in which a photographic image is digitized by a digitizing image transducer, said digitizing image transducer producing digital imagery data representative of a digital image composed of an array of image picture elements, said image processing system producing, from said digital imagery data, an output image from which noise artifacts that have been introduced into said digital image in the course of the digitization of said photographic image are reduced, so as not to be discernible to the human eye, comprising the steps of: a. selecting a target pixel position from said array of pixels of which said digital image is comprised; b. prescribing a neighborhood of pixels about said target pixel position; c. for the neighborhood prescribed in step b, generating a signal representative of a goodness of fit (X.sup.2) and an estimated value of the image pixel at said target pixel position in accordance with a least squares best fit plane for said prescribed neighborhood; d. iterating steps b and c for respectively different types and respectively different positions of said prescribed neighborhood; e. generating an output image pixel for said target pixel position in accordance with a summation of all estimated values of the image pixel at said target pixel position with weights based upon said goodness of fit (X.sup.2); f. iterating steps a through e for all pixels of said array of pixels, so as to produce output image signals associated with an output pixel array yielding a reduced noise digital image; and g. applying the output image signals produced in step f to an image reproduction device, which produces an output image in which said noise artifacts have been reduced so as not to be discernible to the human eye.