Morphological models of random structures / Dominique Jeulin.
Jeulin, D. (Dominique)
2021
QA273.5
Available Online

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Title Morphological models of random structures / Dominique Jeulin.
Author Jeulin, D. (Dominique)
ISBN 3030754529 (ebook)
9783030754525 (electronic bk.)
3030754510 (print)
9783030754518 (print)
DOI https://doi.org/10.1007/978-3-030-75452-5
Publication Details Cham : Springer, 2021.
Language English
Description 1 online resource (939 pages)
Item Number 10.1007/978-3-030-75452-5 doi
Call Number QA273.5
Dewey Decimal Classification 519.2
Summary This book covers methods of Mathematical Morphology to model and simulate random sets and functions (scalar and multivariate). The introduced models concern many physical situations in heterogeneous media, where a probabilistic approach is required, like fracture statistics of materials, scaling up of permeability in porous media, electron microscopy images (including multispectral images), rough surfaces, multi-component composites, biological tissues, textures for image coding and synthesis. The common feature of these random structures is their domain of definition in n dimensions, requiring more general models than standard Stochastic Processes. The main topics of the book cover an introduction to the theory of random sets, random space tessellations, Boolean random sets and functions, space-time random sets and functions (Dead Leaves, Sequential Alternate models, Reaction-Diffusion), prediction of effective properties of random media, and probabilistic fracture theories.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Digital File Characteristics text file
PDF
Source of Description Online resource; title from PDF title page (SpringerLink, viewed June 22, 2021).
Series Interdisciplinary applied mathematics ; v. 53.
Available in Other Form Morphological Models of Random Structures.
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Record Appears in Online Resources > Ebooks
All Resources
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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