This paper studies the effect on the interaction structure arising from merging labels in certain classes of random field models.

The purpose of this paper was to construct perfect samplers for length-interacting Arak-Clifford-Surgailis polygonal Markov fields in the plane with nodes of order 2 ("V"-shaped nodes). This is achieved by providing for the polygonal fields a hard core marked point process representation with...

We investigate the connections between shot noise weighted and bivariate Gibbs point processes.