Markov Point Processes and Their Applications

Markov Point Processes and Their Applications
Author :
Publisher : World Scientific
Total Pages : 184
Release :
ISBN-10 : 9781783262502
ISBN-13 : 1783262508
Rating : 4/5 (508 Downloads)

Book Synopsis Markov Point Processes and Their Applications by : M N M van Lieshout

Download or read book Markov Point Processes and Their Applications written by M N M van Lieshout and published by World Scientific. This book was released on 2000-07-12 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: These days, an increasing amount of information can be obtained in graphical forms, such as weather maps, soil samples, locations of nests in a breeding colony, microscopical slices, satellite images, radar or medical scans and X-ray techniques. “High level” image analysis is concerned with the global interpretation of images, attempting to reduce it to a compact description of the salient features of the scene. This book takes a stochastic approach. It studies Markov object processes, showing that they form a flexible class of models for a range of problems involving the interpretation of spatial data. Applications can be found in statistical physics (under the name of “Gibbs processes”), environmental mapping of diseases, forestry, identification of ore structure in materials science, signal analysis, object recognition, robot vision, and interpretation of images from medical scans or confocal microscopy. Contents:Point Processes:Definitions and NotationSimple Point ProcessesFinite Point ProcessesMarkov Point Processes:Ripley–Kelly Markov Point ProcessesThe Hammersley–Clifford TheoremMarkov Marked Point ProcessesStatistics Inference:The Metropolis–Hastings AlgorithmConditional SimulationSpatial Birth-and-Death ProcessesApplications:Modelling Spatial PatternsPairwise Interaction ProcessesArea-Interaction Processesand other papers Readership: Undergraduate and postgraduate students; a reference book for researchers in probability & statistics, or engineers interested in spatial data and image analysis. Keywords:Conditional Intensity;Gibbs Process;Interaction Modelling;Markov Point Process;Spatial Statistics;Spatial Inference;Stochastic Geometry;Marked Point Process;Markov Chain Monte CarloReviews:“The book is remarkable by the amount of the material covered and excellent readability … It is highly recommended as the first comprehensive text that covers various concepts related to Markov point processes and typically scattered in the journal literature.”Mathematical Reviews


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