Refer to the thresholding algorithm in Section 10.3.2. Assume that in a given problem the...

Refer to the thresholding algorithm in Section 10.3.2. Assume that in a given problem the histogram is bimodal with modes that are Gaussian curves of the form .and Assume that m1 > m2 and that the initial T is between the max and min image intensities. Give conditions (in terms of the parameters of these curves) for the following to be true when the algorithm converges:

(a) The threshold is equal to (m1 + m2)/2.

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(b) The threshold is to the left of m2.

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(c) The threshold is in the interval (m1+ m2)/2 < T < m1.

If it is not possible for any of these conditions to exist, so state, and give a reason.