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Morphological Models Of Random Structures


Morphological Models Of Random Structures
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Morphological Models Of Random Structures


Morphological Models Of Random Structures
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Author : Dominique Jeulin
language : en
Publisher: Springer Nature
Release Date : 2021-06-01

Morphological Models Of Random Structures written by Dominique Jeulin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-01 with Mathematics categories.


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.



Morphological Models Of Random Structures


Morphological Models Of Random Structures
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Author : Dominique Jeulin
language : en
Publisher:
Release Date : 2021

Morphological Models Of Random Structures written by Dominique Jeulin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.


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.



A Guide To Modeling Coastal Morphology


A Guide To Modeling Coastal Morphology
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Author : Dano Roelvink
language : en
Publisher: World Scientific
Release Date : 2012

A Guide To Modeling Coastal Morphology written by Dano Roelvink and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Science categories.


Process-based morphodynamic modelling is one of the relatively new tools at the disposal of coastal scientists, engineers and managers. On paper, it offers the possibility to analyse morphological processes and to investigate the effects of various measures one might consider to alleviate some problems. For these to be applied in practice, a model should be relatively straightforward to set up. It should be accurate enough to represent the details of interest, it should run long enough and robustly to see the real effects happen, and the physical processes represented in such a way that the sediment generally goes in the right direction at the right rate. Next, practitioners must be able to judge if the patterns and outcomes of the model are realistic and finally, translate these colour pictures and vector plots to integrated parameters that are relevant to the client or end user. In a nutshell, this book provides an in-depth review of ways to model coastal processes, including many hands-on exercises.



Proceedings Of The Eighth International Symposium On Continuum Models And Discrete Systems


Proceedings Of The Eighth International Symposium On Continuum Models And Discrete Systems
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Author : International Symposium on Continuum Models of Discrete Systems 1995, Varna, Bulgaria
language : en
Publisher: World Scientific
Release Date : 1996

Proceedings Of The Eighth International Symposium On Continuum Models And Discrete Systems written by International Symposium on Continuum Models of Discrete Systems 1995, Varna, Bulgaria and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Continuum mechanics categories.


The purpose of this symposium is to bring together scientists working on continuum theories of discrete mechanical and thermodynamical systems in the realm of mathematics, theoretical and applied mechanics, physics, material science and engineering. It aims to join together the divergent languages, questions and methods developed in the respective disciplines and to stimulate broad interdisciplinary exchange of ideas and results. The main topics, discussed in the lectures, concern thermodynamics, transport theory, statistical mechanics; continuum mechanics of complex fluids and deformable solids with microstructure; continuum theory of living structures; defect dynamics, synergetics, solitons, coherent structures; dislocations and plasticity; fundamentals of fracture mechanics.



Mathematical Morphology And Its Applications To Image Processing


Mathematical Morphology And Its Applications To Image Processing
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Author : Jean Serra
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Mathematical Morphology And Its Applications To Image Processing written by Jean Serra and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.


Mathematical morphology (MM) is a theory for the analysis of spatial structures. It is called morphology since it aims at analysing the shape and form of objects, and it is mathematical in the sense that the analysis is based on set theory, topology, lattice algebra, random functions, etc. MM is not only a theory, but also a powerful image analysis technique. The purpose of the present book is to provide the image analysis community with a snapshot of current theoretical and applied developments of MM. The book consists of forty-five contributions classified by subject. It demonstrates a wide range of topics suited to the morphological approach.



Continuum Models And Discrete Systems Proceedings Of The 9th International Symposium Cmds9


Continuum Models And Discrete Systems Proceedings Of The 9th International Symposium Cmds9
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Author : Esin Inan
language : en
Publisher: World Scientific
Release Date : 1998-12-07

Continuum Models And Discrete Systems Proceedings Of The 9th International Symposium Cmds9 written by Esin Inan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-12-07 with Science categories.


This volume deals with continuum theories of discrete mechanical and thermodynamical systems in the fields of mathematics, theoretical and applied mechanics, physics, materials science and engineering.



Stochastic Geometry Spatial Statistics And Random Fields


Stochastic Geometry Spatial Statistics And Random Fields
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Author : Volker Schmidt
language : en
Publisher: Springer
Release Date : 2014-10-24

Stochastic Geometry Spatial Statistics And Random Fields written by Volker Schmidt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-24 with Mathematics categories.


This volume is an attempt to provide a graduate level introduction to various aspects of stochastic geometry, spatial statistics and random fields, with special emphasis placed on fundamental classes of models and algorithms as well as on their applications, e.g. in materials science, biology and genetics. This book has a strong focus on simulations and includes extensive codes in Matlab and R which are widely used in the mathematical community. It can be seen as a continuation of the recent volume 2068 of Lecture Notes in Mathematics, where other issues of stochastic geometry, spatial statistics and random fields were considered with a focus on asymptotic methods.



Continuum Models And Discrete Systems


Continuum Models And Discrete Systems
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Author : François Willot
language : en
Publisher: Springer Nature
Release Date : 2024-09-23

Continuum Models And Discrete Systems written by François Willot and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-23 with Mathematics categories.


The present book contains the proceedings of the 14th International Symposium on Continuum Models and Discrete Systems (CMDS14) held in Paris in June 2023. It contains 21 contributions that cover a broad range of topics in the wide field of mechanics and physics of heterogeneous media for discrete and continuous systems, from image analysis to models of random structures and to homogenization. The sessions in the CMDS conference series cover, in particular, the modeling of complex heterogeneous systems and metamaterials, structures and composites with extreme properties, deformable solids with microstructures, generalized continua, fracture and defect dynamics, fatigue, design of structured and architectured materials, micro and nanostructures, thermodynamics, transport theory and multiphysics coupling and methods ranging from homogenization theories to optimal design and machine-learning frameworks. Papers in the present volume are organized according to the following six main topics: probabilistic models, homogenization, solid mechanics, architectured materials, optics and metamaterials, machine learning methods.



Probamat 21st Century Probabilities And Materials


Probamat 21st Century Probabilities And Materials
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Author : G.N. Frantziskonis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Probamat 21st Century Probabilities And Materials written by G.N. Frantziskonis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


There are numerous technological materials - such as metals, polymers, ceramics, concrete, and many others - that vary in properties and serviceability. However, the almost universal common theme to most real materials is that their properties depend on the scale at which the analysis or observation takes place and at each scale "probabilities" play an important role. Here the word "probabilities" is used in a wider than the classical sense. In order to increase the efficiency and serviceability of these materials, researchers from NATO, CP and other countries were brought together to exchange knowledge and develop avenues for progress and applications in the st 21 century. The workshop began by reviewing progress in the subject area over the past few years and by identifying key questions that remain open. One point was how to observe/measure material properties at different scales and whether a probabilistic approach, at each scale, was always applicable and advantageous. The wide range of materials, from wood to advanced metals and from concrete to complex advanced composites, and the diversity of applications, e.g. fatigue, fracture, deformation, etc., were recognized as "obstacles" in identifying a "universal" approach.



A Computational Multi Scale Approach For Brittle Materials


A Computational Multi Scale Approach For Brittle Materials
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Author : Ernesti, Felix
language : en
Publisher: KIT Scientific Publishing
Release Date : 2023-04-17

A Computational Multi Scale Approach For Brittle Materials written by Ernesti, Felix and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-17 with Technology & Engineering categories.


Materials of industrial interest often show a complex microstructure which directly influences their macroscopic material behavior. For simulations on the component scale, multi-scale methods may exploit this microstructural information. This work is devoted to a multi-scale approach for brittle materials. Based on a homogenization result for free discontinuity problems, we present FFT-based methods to compute the effective crack energy of heterogeneous materials with complex microstructures.