Perfect Simulation for Length-interacting Polygonal Markov Fields in the Plane

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 individual points carrying polygonal loops as their marks, so that the coupling from the past and clan of ancestors routines can be adopted. Copyright 2007 Board of the Foundation of the Scandinavian Journal of Statistics..