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Interdisciplinary Applied Mathematics

Morphological Models of Random Structures

Authors: Jeulin, Dominique

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  • Most basic models of random structures are thoroughly investigated and illustrated, starting from their mathematical construction, their probabilistic properties, and their identification from data
  • A comprehensive group of models and their links are available to the reader, helping him to develop his own research. The presentation is completed by exercises
  • Applications of random models to the physics of random media will be helpful to researchers and engineers for their understanding and predictive use of well established and some new models of microstructures
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eBook 139,09 €
price for Spain (gross)
  • ISBN 978-3-030-75452-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
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  • Immediate eBook download after purchase
Hardcover 176,79 €
price for Spain (gross)
  • ISBN 978-3-030-75451-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.


About the authors

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.

Table of contents (21 chapters)

Table of contents (21 chapters)

Buy this book

eBook 139,09 €
price for Spain (gross)
  • ISBN 978-3-030-75452-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 176,79 €
price for Spain (gross)
  • ISBN 978-3-030-75451-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Morphological Models of Random Structures
Authors
Series Title
Interdisciplinary Applied Mathematics
Series Volume
53
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-75452-5
DOI
10.1007/978-3-030-75452-5
Hardcover ISBN
978-3-030-75451-8
Series ISSN
0939-6047
Edition Number
1
Number of Pages
XXXII, 919
Number of Illustrations
202 b/w illustrations, 89 illustrations in colour
Topics