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Random Laguerre Tessellations
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Book Synopsis Morphological Models of Random Structures by : Dominique Jeulin
Download or read book Morphological Models of Random Structures written by Dominique Jeulin and published by Springer Nature. This book was released on 2021-06-01 with total page 919 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Stochastic Geometry, Spatial Statistics and Random Fields by : Volker Schmidt
Download or read book Stochastic Geometry, Spatial Statistics and Random Fields written by Volker Schmidt and published by Springer. This book was released on 2014-10-24 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Random Laguerre Tessellations by : Claudia Lautensack
Download or read book Random Laguerre Tessellations written by Claudia Lautensack and published by . This book was released on 2007 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis 3D Images of Materials Structures by : Joachim Ohser
Download or read book 3D Images of Materials Structures written by Joachim Ohser and published by John Wiley & Sons. This book was released on 2009-09-03 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Taking and analyzing images of materials' microstructures is essential for quality control, choice and design of all kind of products. Today, the standard method still is to analyze 2D microscopy images. But, insight into the 3D geometry of the microstructure of materials and measuring its characteristics become more and more prerequisites in order to choose and design advanced materials according to desired product properties. This first book on processing and analysis of 3D images of materials structures describes how to develop and apply efficient and versatile tools for geometric analysis and contains a detailed description of the basics of 3d image analysis.
Book Synopsis Random Laguerre Tessellations by : Claudia Lautensack
Download or read book Random Laguerre Tessellations written by Claudia Lautensack and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stochastic Geometry and Its Applications by : Sung Nok Chiu
Download or read book Stochastic Geometry and Its Applications written by Sung Nok Chiu and published by John Wiley & Sons. This book was released on 2013-06-27 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extensive update to a classic text Stochastic geometry and spatial statistics play a fundamental role in many modern branches of physics, materials sciences, engineering, biology and environmental sciences. They offer successful models for the description of random two- and three-dimensional micro and macro structures and statistical methods for their analysis. The previous edition of this book has served as the key reference in its field for over 18 years and is regarded as the best treatment of the subject of stochastic geometry, both as a subject with vital applications to spatial statistics and as a very interesting field of mathematics in its own right. This edition: Presents a wealth of models for spatial patterns and related statistical methods. Provides a great survey of the modern theory of random tessellations, including many new models that became tractable only in the last few years. Includes new sections on random networks and random graphs to review the recent ever growing interest in these areas. Provides an excellent introduction to theory and modelling of point processes, which covers some very latest developments. Illustrate the forefront theory of random sets, with many applications. Adds new results to the discussion of fibre and surface processes. Offers an updated collection of useful stereological methods. Includes 700 new references. Is written in an accessible style enabling non-mathematicians to benefit from this book. Provides a companion website hosting information on recent developments in the field www.wiley.com/go/cskm Stochastic Geometry and its Applications is ideally suited for researchers in physics, materials science, biology and ecological sciences as well as mathematicians and statisticians. It should also serve as a valuable introduction to the subject for students of mathematics and statistics.
Book Synopsis Discrete and Computational Geometry and Graphs by : Jin Akiyama
Download or read book Discrete and Computational Geometry and Graphs written by Jin Akiyama and published by Springer. This book was released on 2016-11-24 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 18th Japanese Conference on Discrete and Computational Geometry and Graphs, JDCDGG 2015, held in Kyoto, Japan, in September 2015. The total of 25 papers included in this volume was carefully reviewed and selected from 64 submissions. The papers feature advances made in the field of computational geometry and focus on emerging technologies, new methodology and applications, graph theory and dynamics. This proceedings are dedicated to Naoki Katoh on the occasion of his retirement from Kyoto University.
Book Synopsis Stochastic Geometry, Spatial Statistics and Random Fields by : Evgeny Spodarev
Download or read book Stochastic Geometry, Spatial Statistics and Random Fields written by Evgeny Spodarev and published by Springer. This book was released on 2013-02-11 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a modern introduction to stochastic geometry, random fields and spatial statistics at a (post)graduate level. It is focused on asymptotic methods in geometric probability including weak and strong limit theorems for random spatial structures (point processes, sets, graphs, fields) with applications to statistics. Written as a contributed volume of lecture notes, it will be useful not only for students but also for lecturers and researchers interested in geometric probability and related subjects.
Book Synopsis Multiscale Modeling and Uncertainty Quantification of Materials and Structures by : Manolis Papadrakakis
Download or read book Multiscale Modeling and Uncertainty Quantification of Materials and Structures written by Manolis Papadrakakis and published by Springer. This book was released on 2014-07-02 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the IUTAM Symposium on Multiscale Modeling and Uncertainty Quantification of Materials and Structures that was held at Santorini, Greece, September 9 – 11, 2013. It consists of 20 chapters which are divided in five thematic topics: Damage and fracture, homogenization, inverse problems–identification, multiscale stochastic mechanics and stochastic dynamics. Over the last few years, the intense research activity at micro scale and nano scale reflected the need to account for disparate levels of uncertainty from various sources and across scales. As even over-refined deterministic approaches are not able to account for this issue, an efficient blending of stochastic and multiscale methodologies is required to provide a rational framework for the analysis and design of materials and structures. The purpose of this IUTAM Symposium was to promote achievements in uncertainty quantification combined with multiscale modeling and to encourage research and development in this growing field with the aim of improving the safety and reliability of engineered materials and structures. Special emphasis was placed on multiscale material modeling and simulation as well as on the multiscale analysis and uncertainty quantification of fracture mechanics of heterogeneous media. The homogenization of two-phase random media was also thoroughly examined in several presentations. Various topics of multiscale stochastic mechanics, such as identification of material models, scale coupling, modeling of random microstructures, analysis of CNT-reinforced composites and stochastic finite elements, have been analyzed and discussed. A large number of papers were finally devoted to innovative methods in stochastic dynamics.
Book Synopsis Tensor Valuations and Their Applications in Stochastic Geometry and Imaging by : Eva B. Vedel Jensen
Download or read book Tensor Valuations and Their Applications in Stochastic Geometry and Imaging written by Eva B. Vedel Jensen and published by Springer. This book was released on 2017-06-10 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this volume is to give an up-to-date introduction to tensor valuations and their applications. Starting with classical results concerning scalar-valued valuations on the families of convex bodies and convex polytopes, it proceeds to the modern theory of tensor valuations. Product and Fourier-type transforms are introduced and various integral formulae are derived. New and well-known results are presented, together with generalizations in several directions, including extensions to the non-Euclidean setting and to non-convex sets. A variety of applications of tensor valuations to models in stochastic geometry, to local stereology and to imaging are also discussed.
Book Synopsis Mathematical Morphology and Its Applications to Signal and Image Processing by : Cris L. Luengo Hendriks
Download or read book Mathematical Morphology and Its Applications to Signal and Image Processing written by Cris L. Luengo Hendriks and published by Springer. This book was released on 2013-05-13 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the refereed proceedings of the 11th International Symposium on Mathematical Morphology, ISMM 2013 held in Uppsala, Sweden, in May 2013. The 41 revised full papers presented together with 3 invited papers were carefully reviewed and selected from 52 submissions. The papers are organized in topical sections on theory; trees and hierarchies; adaptive morphology; colour; manifolds and metrics; filtering; detectors and descriptors; and applications.
Book Synopsis Virtual Materials Design by : Norbert Huber
Download or read book Virtual Materials Design written by Norbert Huber and published by Frontiers Media SA. This book was released on 2022-08-02 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spatial Tessellations by : Atsuyuki Okabe
Download or read book Spatial Tessellations written by Atsuyuki Okabe and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spatial data analysis is a fast growing area and Voronoi diagrams provide a means of naturally partitioning space into subregions to facilitate spatial data manipulation, modelling of spatial structures, pattern recognition and locational optimization. With such versatility, the Voronoi diagram and its relative, the Delaunay triangulation, provide valuable tools for the analysis of spatial data. This is a rapidly growing research area and in this fully updated second edition the authors provide an up-to-date and comprehensive unification of all the previous literature on the subject of Voronoi diagrams. Features: * Expands on the highly acclaimed first edition * Provides an up-to-date and comprehensive survey of the existing literature on Voronoi diagrams * Includes a useful compendium of applications * Contains an extensive bibliography A wide range of applications is discussed, enabling this book to serve as an important reference volume on this topic. The text will appeal to students and researchers studying spatial data in a number of areas, in particular, applied probability, computational geometry, and Geographic Information Science (GIS). This book will appeal equally to those whose interests in Voronoi diagrams are theoretical, practical or both.
Author :Eulogio Pardo-Igúzquiza Publisher :Springer Science & Business Media ISBN 13 :3642324088 Total Pages :847 pages Book Rating :4.6/5 (423 download)
Book Synopsis Mathematics of Planet Earth by : Eulogio Pardo-Igúzquiza
Download or read book Mathematics of Planet Earth written by Eulogio Pardo-Igúzquiza and published by Springer Science & Business Media. This book was released on 2013-10-07 with total page 847 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is widely recognized that the degree of development of a science is given by the transition from a mainly descriptive stage to a more quantitative stage. In this transition, qualitative interpretations (conceptual models) are complemented with quantification (numerical models, both, deterministic and stochastic). This has been the main task of mathematical geoscientists during the last forty years - to establish new frontiers and new challenges in the study and understanding of the natural world. Mathematics of Planet Earth comprises the proceedings of the International Association for Mathematical Geosciences Conference (IAMG2013), held in Madrid from September 2-6, 2013. The Conference addresses researchers, professionals and students. The proceedings contain more than 150 original contributions and give a multidisciplinary vision of mathematical geosciences.
Book Synopsis Statistical Analysis of Microstructures in Materials Science by : Joachim Ohser
Download or read book Statistical Analysis of Microstructures in Materials Science written by Joachim Ohser and published by John Wiley & Sons. This book was released on 2000-12-19 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: The investigation of the origin and formation of microstructures and the effect that microstructure has on the properties of materials are important issues in materials science and technology. Geometrical analysis is often the key to understanding the formation of microstructures and the resulting material properties. The authors make use of mathematical morphology, spatial statistics, image processing, stereology and stochastic geometry to analyze microstructures arising in materials science. * Quantitative microstructure analysis is one of the most successful experimental techniques in materials science * Uses examples to demonstrate the techniques * Program code included enables the reader to apply the numerous algorithms * Accessible to material scientists with limited statistical knowledge Primarily aimed at applied materials scientists, the book will also appeal to those working and researching in earth sciences, material technology, mineralogy, petrography, image analysis, cytology and biology.
Book Synopsis Stochastic and Integral Geometry by : Rolf Schneider
Download or read book Stochastic and Integral Geometry written by Rolf Schneider and published by Springer Science & Business Media. This book was released on 2008-09-08 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic geometry deals with models for random geometric structures. Its early beginnings are found in playful geometric probability questions, and it has vigorously developed during recent decades, when an increasing number of real-world applications in various sciences required solid mathematical foundations. Integral geometry studies geometric mean values with respect to invariant measures and is, therefore, the appropriate tool for the investigation of random geometric structures that exhibit invariance under translations or motions. Stochastic and Integral Geometry provides the mathematically oriented reader with a rigorous and detailed introduction to the basic stationary models used in stochastic geometry – random sets, point processes, random mosaics – and to the integral geometry that is needed for their investigation. The interplay between both disciplines is demonstrated by various fundamental results. A chapter on selected problems about geometric probabilities and an outlook to non-stationary models are included, and much additional information is given in the section notes.
Book Synopsis 1st International Conference on 3D Materials Science, 2012 by : Marc De Graef
Download or read book 1st International Conference on 3D Materials Science, 2012 written by Marc De Graef and published by John Wiley & Sons. This book was released on 2013-02-26 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressing a critical growth area in materials science, this volume features papers presented at the 2012 International Conference on 3D Materials Science, organized by The Minerals, Metals & Materials Society (TMS). With the top researchers in the world assessing the state-of-the-art within the various elements of three-dimensional materials science, this collection provides the premier forum for authoritative presentations on all aspects of the science, including characterization, visualization, quantitative analysis, modeling, and investigation of structure-property relationships of materials.
