Noise reduction is achieved, without the introduction of noticeable artifacts in the displayed image, using (1) a non-ringing, non-aliasing, localized transfer, octave-band spectrum analyzer for separating the video signal representing the image into subspectra signals, (2) separate coring means for one or more of the analyzed subspectra signals, and (3) then a synthesizer employing one or more non-ringing, non-aliasing filters for deriving an output image-representing signal from all of the subspectra signals.