Multi-colour random fields with polygonal realisations

2012/04/12 by M. N. M. van Lieshout, van Lieshout, M. N. M.
Mathematics · #60D05 #60G60 #FOS: Computer and information sciences #Methodology (stat.ME) #msc:60D05 #msc:60G60 #stat.ME

paper · pdf · doi:10.48550/arxiv.1204.2664

arxiv created 2012/11/26 · arxiv updated 2012/11/27

Abstract

We introduce a class of random fields that can be understood as discrete versions of multi-colour polygonal fields built on regular linear tessellations. We focus fir st on consistent polygonal fields, for which we show Markovianity and solvability by means of a dynamic representation. This representation forms the basis for new sampling techniques for Gibbsian modifications of such fields, a class which cove rs lattice based random fields. A flux based modification is applied to the extracti on of the field tracks network from a SAR image of a rural area.

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