Morphological Models of Random Structures

Author:   Dominique Jeulin
Publisher:   Springer Nature Switzerland AG
Edition:   1st ed. 2021
Volume:   53
ISBN:  

9783030754549


Pages:   919
Publication Date:   03 June 2022
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Morphological Models of Random Structures


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Author:   Dominique Jeulin
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2021
Volume:   53
Weight:   1.430kg
ISBN:  

9783030754549


ISBN 10:   3030754545
Pages:   919
Publication Date:   03 June 2022
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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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Dominique Jeulin is Director of Research and Professor at Mines-ParisTech (Ecole des Mines de Paris). Currently Scientific Adviser at Centre de Morphologie Mathématique, he was teaching  courses on models of random structures, and on physics and mechanics of random media. His main current interests cover the theoretical prediction of physical properties of random media, models and simulations of random media, 3D image analysis, probabilistic segmentation of images, applications to materials science, biology and vision.

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