9. The claim of claim 8 , wherein: the first probability is P 00 P 11 wherein P 00 is a probability that the first node and the second node are both 0 and P 11 is a probability that the first node and the second node are both 1; the second probability is P 01 P 10 wherein P 01 is a probability that the first node and the second node are 0 and 1, respectively, P 10 is a probability that the first node and the second node are 1 and 0, respectively; and comparing the first probability to the second probability is performed in accordance with P 00 P 11 ≧P 01 P 10 .
8. The system of claim 6 , wherein the energy function is: E ⁡ ( x 1 , … ⁢ , x n ) = ⁢ ∑ i ⁢ ⁢ - λ 1 +  I i - x i  + ⁢ ∑ i < j ⁢ ⁢ ( α ( j - i ) 11 ⁢ x i ⁢ x j + α ( j - i ) 10 ⁢ x i ⁡ ( 1 - x j ) + ⁢ α ( j - i ) 01 ⁡ ( 1 - x i ) ⁢ x j + α ( j - i ) 00 ⁡ ( 1 - x i ) ⁢ ( 1 - x j ) ( 12 ) wherein λ is a free parameter imposing the strength of the intensity values of the given image; I is an input image; α is a learned co-occurrence; x is an intensity value of an output image.