Morphological Models of Random Structures

Morphological Models of Random Structures

Jeulin, Dominique

Springer Nature Switzerland AG

06/2022

919

Mole

Inglês

9783030754549

15 a 20 dias

1430

Descrição não disponível.
1. Introduction.- Part I Tools for Random Structures.- 2 Introduction to Random Closed Sets and to Semi-continuous Random Functions.- 3 Quantitative Analysis of Random Structures.- Part II Models of Random Structures.- 4 Excursion sets of Gaussian RF.- 5 Stochastic Point Processes and Random Trees.- 6 Boolean Random Sets.- 7 Random Tessellations.- 8 The Mosaic Model.- 9 Boolean Random Functions.- 10 Random Tessellations and Boolean Random Functions.- 11 Dead Leaves Models: from Space Tessellations to Random Functions.- 12 Sequential Cox Boolean and Conditional Dead Leaves Models.- 13 Sequential Alternate Random Functions.- 14 Primary Grains and Primary Functions.- 15 Dilution Random Functions.- 16 Reaction-Diffusion and Lattice Gas Models.- 17 Texture Segmentation by Morphological Probabilistic Hierarchies.- Part III Random Structures and Change of Scale.- 18 Change of Scale in Physics of Random Media.- 19 Digital Materials.- 20 Probabilistic Models for Fracture Statistics.- 21 Crack Paths in Random Media.
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mathematical morphology;random closed sets;random functions;random media;sequential models;stochastic processes;multi-scale random media;numerical simulations;materials sciences;homogenization;fracture statistics;percolation