Markov Random Field
A Markov random field (MRF)
•
generalization of Markov chains to two or more dimensions.
First-order MRF:
•
probability that pixel
X
takes a certain value given the values
of neighbors
A
,
B
,
C
, and
D
:
D
C
X
A
B
X
*
*
*
*
*
*
*
*
X
*
*
*
*
*
*
*
*
*
*
*
*
•
Higher order MRF’s have larger neighborhoods