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Discrete Multicolour Random Mosaics with an Application to Network Extraction
Author(s) -
Lieshout M.N.M.
Publication year - 2013
Publication title -
scandinavian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.359
H-Index - 65
eISSN - 1467-9469
pISSN - 0303-6898
DOI - 10.1111/sjos.12026
Subject(s) - mathematics , random field , representation (politics) , lattice (music) , class (philosophy) , focus (optics) , random walk , algorithm , artificial intelligence , computer science , statistics , physics , optics , politics , political science , acoustics , law
Abstract We introduce a class of random fields that can be understood as discrete versions of multicolour polygonal fields built on regular linear tessellations. We focus first on a subclass of consistent polygonal fields, for which we show Markovianity and solvability by means of a dynamic representation. This representation is used to design new sampling techniques for Gibbsian modifications of such fields, a class which covers lattice‐based random fields. A flux‐based modification is applied to the extraction of the field tracks network from a Synthetic Aperture Radar image of a rural area.