Suppose images f(x,y) and g(x,y) have histograms hf and hg. Suppose you form image k(x,y) as the sum of these two images: k(x,y) = f(x,y) + g(x,y). (a) Under what conditions (on images f and g) can you determine the histogram hy of image k in terms of the histograms hj and h2? (That is, under what conditions can you determine hķ if you are only given hf and hg? Hint: this turns out to be fairly restrictive.) (b) Explain how you would derive hỵ in this case.

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