A gray-scale image, f(x, y),is corrupted by nonoverlapping noise spikes that can be modeled as small, cylindrical artifacts of radii Rmin ≤ r ≤ Rmax and amplitude Amin ≤ a ≤ Amax.
(a) Develop a morphological filtering approach for cleaning up the image.
(b) Repeat (a), but now assume that there is overlapping of, at most, four noise spikes.
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