A computer dismantles a two-dimensional initial image into partial images containing components that vary locally with partial image frequencies and a residual image containing a direct component which is locally invariable. For each partial image and residual image the computer determines a weighting factor and sums the weighted images into a final image. Based on a comparison of the partial image frequencies with a target frequency, the computer determines a partial image as a pilot image and its frequency as a pilot frequency. The computer determines weighting factors of the partial images so that partial images whose frequencies are below the pilot frequency are weighted less than the pilot image, and partial images whose frequencies are above the pilot frequency makes a large contribution when the noise component in the initial image is small and a small contribution when the noise component in the initial image is large.