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arXiv · 1204.2664

Multi-colour random fields with polygonal realisations

M. N. M. van Lieshout
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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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M. N. M. van Lieshout. 2012-11-26. Multi-colour random fields with polygonal realisations. https://arxiv.org/abs/1204.2664

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