Morphological Models Of Random Structures

Author : Dominique Jeulin
Publisher : Unknown
Page : 0 pages
File Size : 43,5 Mb
Release : 2021
Category : Electronic
ISBN : 3030754537

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Morphological Models of Random Structures by Dominique Jeulin Pdf

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.

Author : Dominique Jeulin
Publisher : Springer Nature
Page : 919 pages
File Size : 50,6 Mb
Release : 2021-06-01
Category : Mathematics
ISBN : 9783030754525

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Morphological Models of Random Structures by Dominique Jeulin Pdf

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.

Author : Klaus R. Mecke,Dietrich Stoyan
Publisher : Springer
Page : 442 pages
File Size : 46,8 Mb
Release : 2008-01-11
Category : Science
ISBN : 9783540457824

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Morphology of Condensed Matter by Klaus R. Mecke,Dietrich Stoyan Pdf

The morphology of spatially stuctured materials is a rapidly growing field of research at the interface of statistical physics, applied mathematics and materials science. A wide spectrum of applications encompasses the flow through porous and composite materials as well as microemulsions and foams. Written as a set of lectures and tutorial reviews leading up to the forefront of research, this book will be both a compendium for the experienced researcher as well as a high level introductory text for postgraduate students and nonspecialist researchers working in related areas.

Author : Dominique Jeulin
Publisher : World Scientific
Page : 338 pages
File Size : 46,9 Mb
Release : 1997-01-16
Category : Electronic
ISBN : 9789814546652

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Advances In Theory And Applications Of Random Sets: Proceedings Of The Symposium by Dominique Jeulin Pdf

This volume covers topics ranging from pure and applied mathematics to pedagogical issues in mathematics. There are papers in mathematical biology, differential equations, difference equations, dynamical systems, orthogonal polynomials, topology, calculus reform, algebra, and numerical analysis. Most of the papers include new, interesting results that are at the cutting edge of the respective subjects. However, there are some papers of an expository nature.

Author : Dominique Jeulin,Martin Ostoja-Starzewski
Publisher : Springer
Page : 270 pages
File Size : 53,7 Mb
Release : 2014-05-04
Category : Computers
ISBN : 9783709127803

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Mechanics of Random and Multiscale Microstructures by Dominique Jeulin,Martin Ostoja-Starzewski Pdf

This book reviews recent theoretical, computational and experimental developments in mechanics of random and multiscale solid materials. The aim is to provide tools for better understanding and prediction of the effects of stochastic (non-periodic) microstructures on materials’ mesoscopic and macroscopic properties. Particular topics involve a review of experimental techniques for the microstructure description, a survey of key methods of probability theory applied to the description and representation of microstructures by random modes, static and dynamic elasticity and non-linear problems in random media via variational principles, stochastic wave propagation, Monte Carlo simulation of random continuous and discrete media, fracture statistics models, and computational micromechanics.

Author : Michel Bilodeau,Fernand Meyer,Michel Schmitt
Publisher : Springer Science & Business Media
Page : 398 pages
File Size : 55,8 Mb
Release : 2007-12-23
Category : Mathematics
ISBN : 9780387291154

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Space, Structure and Randomness by Michel Bilodeau,Fernand Meyer,Michel Schmitt Pdf

Space, structure, and randomness: these are the three key concepts underlying Georges Matheron’s scientific work. He first encountered them at the beginning of his career when working as a mining engineer, and then they resurfaced in fields ranging from meteorology to microscopy. What could these radically different types of applications possibly have in common? First, in each one only a single realisation of the phenomenon is available for study, but its features repeat themselves in space; second, the sampling pattern is rarely regular, and finally there are problems of change of scale. This volume is divided in three sections on random sets, geostatistics and mathematical morphology. They reflect his professional interests and his search for underlying unity. Some readers may be surprised to find theoretical chapters mixed with applied ones. We have done this deliberately. GM always considered that the distinction between the theory and practice was purely academic. When GM tackled practical problems, he used his skill as a physicist to extract the salient features and to select variables which could be measured meaningfully and whose values could be estimated from the available data. Then he used his outstanding ability as a mathematician to solve the problems neatly and efficiently. It was his capacity to combine a physicist’s intuition with a mathematician’s analytical skills that allowed him to produce new and innovative solutions to difficult problems. The book should appeal to graduate students and researchers working in mathematics, probability, statistics, physics, spatial data analysis, and image analysis. In addition it will be of interest to those who enjoy discovering links between scientific disciplines that seem unrelated at first glance. In writing the book the contributors have tried to put GM’s ideas into perspective. During his working life, GM was a genuinely creative scientist. He developed innovative concepts whose usefulness goes far beyond the confines of the discipline for which they were originally designed. This is why his work remains as pertinent today as it was when it was first written.

Author : G.N. Frantziskonis
Publisher : Springer Science & Business Media
Page : 615 pages
File Size : 40,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9789401152167

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PROBAMAT-21st Century: Probabilities and Materials by G.N. Frantziskonis Pdf

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.

Author : D. Breysse
Publisher : Springer Science & Business Media
Page : 536 pages
File Size : 45,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9789401111423

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Probabilities and Materials by D. Breysse Pdf

Most industrial and natural materials exhibit a macroscopic behaviour which results from the existence of microscale inhomogeneities. The influence of such inhomogeneities is commonly modelled using probabilistic methods. Most of the approaches to the evaluation of the safety of structures according to probabilistic criteria are somewhat scattered, however, and it is time to present such material in a coherent and up-to-date form. Probabilities and Materials undertakes this task, and also defines the great tasks that must be tackled in coming years. For engineers and researchers dealing with materials, geotechnics, solid mechanics, soil mechanics, statistics and stochastic processes. The expository nature of the book means that no prior knowledge of statistics or probability is required of the reader. The book can thus serve as an excellent introduction to the nature of applied statistics and stochastic modelling.

Author : Konstantin Z Markov
Publisher : World Scientific
Page : 682 pages
File Size : 43,5 Mb
Release : 1996-01-15
Category : Electronic
ISBN : 9789814548151

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Continuum Models And Discrete Systems - Proceedings Of The Eighth International Symposium by Konstantin Z Markov Pdf

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.

Author : Esin Inan,Konstantin Z Markov
Publisher : World Scientific
Page : 872 pages
File Size : 50,9 Mb
Release : 1998-12-07
Category : Science
ISBN : 9789814544221

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Continuum Models And Discrete Systems - Proceedings Of The 9th International Symposium (Cmds9) by Esin Inan,Konstantin Z Markov Pdf

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.

Author : Volker Schmidt
Publisher : Springer
Page : 464 pages
File Size : 43,5 Mb
Release : 2014-10-24
Category : Mathematics
ISBN : 9783319100647

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Stochastic Geometry, Spatial Statistics and Random Fields by Volker Schmidt Pdf

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.

Author : Edward R. Dougherty,Jaakko Astola
Publisher : Springer Science & Business Media
Page : 173 pages
File Size : 55,6 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461531487

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Mathematical Nonlinear Image Processing by Edward R. Dougherty,Jaakko Astola Pdf

Mathematical Nonlinear Image Processing deals with a fast growing research area. The development of the subject springs from two factors: (1) the great expansion of nonlinear methods applied to problems in imaging and vision, and (2) the degree to which nonlinear approaches are both using and fostering new developments in diverse areas of mathematics. Mathematical Nonlinear Image Processing will be of interest to people working in the areas of applied mathematics as well as researchers in computer vision. Mathematical Nonlinear Image Processing is an edited volume of original research. It has also been published as a special issue of the Journal of Mathematical Imaging and Vision. (Volume 2, Issue 2/3).

Author : Ernesti, Felix
Publisher : KIT Scientific Publishing
Page : 264 pages
File Size : 47,6 Mb
Release : 2023-04-17
Category : Technology & Engineering
ISBN : 9783731512851

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A computational multi-scale approach for brittle materials by Ernesti, Felix Pdf

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.

Author : Laurent Najman,Hugues Talbot
Publisher : John Wiley & Sons
Page : 407 pages
File Size : 54,9 Mb
Release : 2013-01-24
Category : Technology & Engineering
ISBN : 9781118600856

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Mathematical Morphology by Laurent Najman,Hugues Talbot Pdf

Mathematical Morphology allows for the analysis and processing of geometrical structures using techniques based on the fields of set theory, lattice theory, topology, and random functions. It is the basis of morphological image processing, and finds applications in fields including digital image processing (DSP), as well as areas for graphs, surface meshes, solids, and other spatial structures. This book presents an up-to-date treatment of mathematical morphology, based on the three pillars that made it an important field of theoretical work and practical application: a solid theoretical foundation, a large body of applications and an efficient implementation. The book is divided into five parts and includes 20 chapters. The five parts are structured as follows: Part I sets out the fundamental aspects of the discipline, starting with a general introduction, followed by two more theory-focused chapters, one addressing its mathematical structure and including an updated formalism, which is the result of several decades of work. Part II extends this formalism to some non-deterministic aspects of the theory, in particular detailing links with other disciplines such as stereology, geostatistics and fuzzy logic. Part III addresses the theory of morphological filtering and segmentation, featuring modern connected approaches, from both theoretical and practical aspects. Part IV features practical aspects of mathematical morphology, in particular how to deal with color and multivariate data, links to discrete geometry and topology, and some algorithmic aspects; without which applications would be impossible. Part V showcases all the previously noted fields of work through a sample of interesting, representative and varied applications.

Author : Norbert Huber,Surya R. Kalidindi,Stefan Blügel,Wolfgang Wenzel
Publisher : Frontiers Media SA
Page : 197 pages
File Size : 50,8 Mb
Release : 2022-08-02
Category : Technology & Engineering
ISBN : 9782889766772

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Virtual Materials Design by Norbert Huber,Surya R. Kalidindi,Stefan Blügel,Wolfgang Wenzel Pdf