Question: Consider the three 4 4 binary image data shown in Figure 12.9 that correspond to the Gibbs random field realizations denoted by X =

Consider the three 4 × 4 binary image data shown in Figure 12.9 that correspond to the Gibbs random field realizations denoted by X = x1, X = x2, and X = x3, respectively. Let the clique potential be defined as follows:

Vc(x) =

β if both elements in the horizontal pair clique are identical

−β otherwise Obtain the following ratios:

a. P[x2]/P[x1]

b. P[x3]/P[x1]

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