Perfect simulation for length-interacting polygonal Markov fields in the plane
نویسندگان
چکیده
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.
منابع مشابه
Random dynamics and thermodynamic limits for polygonal Markov fields in the plane
We construct random dynamics on collections of non-intersecting planar contours, leaving invariant the distributions of lengthand area-interacting polygonal Markov fields with V-shaped nodes. The first of these dynamics is based on the dynamic construction of consistent polygonal fields, as presented in the original articles by Arak (1982) and Arak & Surgailis (1989, 1991), and it provides an e...
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