Consistent polygonal fields

DOI10.1007/BF01198790zbMath0725.60044MaRDI QIDQ2277659

T. Arak, Donatas Surgailis

Publication date: 1991

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

random polygonsmarginal processconstruction of polygonal Markov fields

Mathematics Subject Classification ID

Random fields (60G60) Continuous-time Markov processes on general state spaces (60J25)

Related Items (11)

Perfect Simulation for Length‐interacting Polygonal Markov Fields in the Plane ⋮ Gibbs Delaunay tessellations with geometric hardcore conditions ⋮ Arak-Clifford-Surgailis tessellations. Basic properties and variance of the total edge length ⋮ Image segmentation by polygonal Markov fields ⋮ Non-homogeneous polygonal Markov fields in the plane: graphical representations and geometry of higher order correlations ⋮ Dobrushin-Kotecký-Shlosman theorem for polygonal Markov fields in the plane ⋮ Polygonal web representation for higher order correlation functions of consistent polygonal Markov fields in the plane ⋮ Disagreement Loop and Path Creation/Annihilation Algorithms for Binary Planar Markov Fields with Applications to Image Segmentation ⋮ Random dynamics and thermodynamic limits for polygonal Markov fields in the plane ⋮ Discrete Multicolour Random Mosaics with an Application to Network Extraction ⋮ Branching random tessellations with interaction: a thermodynamic view

Cites Work

• Markov fields with polygonal realizations
• Markov property of random fields
• Unilateral Markov fields
• A curious binary lattice process
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