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.

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Suppose images f(x,y) and g(x,y) have histograms h; 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 hų of image k in terms of the histograms hf and hg?
(That is, under what conditions can you determine hu if you are only given hj
and he? Hint: this turns out to be fairly restrictive.)
(b) Explain how you would derive hỵ in this case.
Transcribed Image Text:Suppose images f(x,y) and g(x,y) have histograms h; 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 hų of image k in terms of the histograms hf and hg? (That is, under what conditions can you determine hu if you are only given hj and he? Hint: this turns out to be fairly restrictive.) (b) Explain how you would derive hỵ in this case.
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