Multi-colour random fields with polygonal realisations
Methodology
2012-11-27 v2
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.
Cite
@article{arxiv.1204.2664,
title = {Multi-colour random fields with polygonal realisations},
author = {M. N. M. van Lieshout},
journal= {arXiv preprint arXiv:1204.2664},
year = {2012}
}