Perfect simulation for length-interacting polygonal Markov fields in the plane
M.N.M. van Lieshout and T. Schreiber
Scandinavian Journal of Statistics Volume 34, pp. 615-625, 2007.

Abstract

The purpose of this paper is 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.

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