Discrete Multicolour Random Mosaics with an Application to Network Extraction

DOI10.1111/sjos.12026zbMath1283.62202OpenAlexW2102170428MaRDI QIDQ2868864

Marie-Colette N. M. van Lieshout

Publication date: 19 December 2013

Published in: Scandinavian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/21498

zbMATH Keywords

random fieldMarkov propertiesdynamic representationconsistent polygonal fieldlinear network extraction

Mathematics Subject Classification ID

Cites Work

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• Arak-Clifford-Surgailis tessellations. Basic properties and variance of the total edge length
• Non-homogeneous polygonal Markov fields in the plane: graphical representations and geometry of higher order correlations
• Markov fields with polygonal realizations
• Consistent polygonal fields
• Image segmentation by polygonal Markov fields
• Dobrushin-Kotecký-Shlosman theorem for polygonal Markov fields in the plane
• Locally Specified Polygonal Markov Fields for Image Segmentation
• Use of the Hough transformation to detect lines and curves in pictures
• Disagreement Loop and Path Creation/Annihilation Algorithms for Binary Planar Markov Fields with Applications to Image Segmentation
• Topological relationships in spatial tessellations
• Mutually compatible Gibbs random fields
• Perfect Simulation for Length‐interacting Polygonal Markov Fields in the Plane
• Stationary Markov random fields on a finite rectangular lattice
• Point-based polygonal models for random graphs
• Random dynamics and thermodynamic limits for polygonal Markov fields in the plane
• Spontaneous magnetization in the plane
• Polygonal web representation for higher order correlation functions of consistent polygonal Markov fields in the plane

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