Stochastic And Integral Geometry
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Stochastic And Integral Geometry
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Author : Rolf Schneider
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-08
Stochastic And Integral Geometry written by Rolf Schneider 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 2008-09-08 with Mathematics categories.
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.
Stochastic And Integral Geometry
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Author : Rolf Schneider
language : en
Publisher: Springer
Release Date : 2009-08-29
Stochastic And Integral Geometry written by Rolf Schneider and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-29 with Mathematics categories.
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.
Stochastic And Integral Geometry
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Author : R.V. Ambartzumian
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Stochastic And Integral Geometry written by R.V. Ambartzumian 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 Mathematics categories.
Random Sets And Integral Geometry
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Author : Georges Matheron
language : en
Publisher: John Wiley & Sons
Release Date : 1974
Random Sets And Integral Geometry written by Georges Matheron and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematics categories.
Sevan
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Author :
language : en
Publisher:
Release Date : 1987
Sevan written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Stochastic Geometry
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Author : W. Weil
language : en
Publisher: Springer
Release Date : 2006-10-27
Stochastic Geometry written by W. Weil and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-27 with Mathematics categories.
Stochastic Geometry is the mathematical discipline which studies mathematical models for random geometric structures. This book collects lectures presented at the CIME summer school in Martina Franca in September 2004. The main lecturers covered Spatial Statistics, Random Points, Integral Geometry and Random Sets. These are complemented by two additional contributions on Random Mosaics and Crystallization Processes. The book presents a comprehensive and up-to-date description of important aspects of Stochastic Geometry.
Stochastic Geometry
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Author : David Coupier
language : en
Publisher: Springer
Release Date : 2019-04-09
Stochastic Geometry written by David Coupier and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-09 with Mathematics categories.
This volume offers a unique and accessible overview of the most active fields in Stochastic Geometry, up to the frontiers of recent research. Since 2014, the yearly meeting of the French research structure GDR GeoSto has been preceded by two introductory courses. This book contains five of these introductory lectures. The first chapter is a historically motivated introduction to Stochastic Geometry which relates four classical problems (the Buffon needle problem, the Bertrand paradox, the Sylvester four-point problem and the bicycle wheel problem) to current topics. The remaining chapters give an application motivated introduction to contemporary Stochastic Geometry, each one devoted to a particular branch of the subject: understanding spatial point patterns through intensity and conditional intensities; stochastic methods for image analysis; random fields and scale invariance; and the theory of Gibbs point processes. Exposing readers to a rich theory, this book will encourage further exploration of the subject and its wide applications.
Special Issue On Stochastic And Integral Geometry
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Author : R. V. Ambartzumian
language : en
Publisher:
Release Date : 1987
Special Issue On Stochastic And Integral Geometry written by R. V. Ambartzumian and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Integral geometry categories.
Stochastic Geometry
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Author : W. Weil
language : en
Publisher: Springer
Release Date : 2006-10-26
Stochastic Geometry written by W. Weil and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-26 with Mathematics categories.
Stochastic Geometry is the mathematical discipline which studies mathematical models for random geometric structures. This book collects lectures presented at the CIME summer school in Martina Franca in September 2004. The main lecturers covered Spatial Statistics, Random Points, Integral Geometry and Random Sets. These are complemented by two additional contributions on Random Mosaics and Crystallization Processes. The book presents a comprehensive and up-to-date description of important aspects of Stochastic Geometry.
Rotational Integral Geometry And Its Applications
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Author : Eva B. Vedel Jensen
language : en
Publisher: Springer Nature
Release Date : 2025-07-14
Rotational Integral Geometry And Its Applications written by Eva B. Vedel Jensen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-14 with Mathematics categories.
This self-contained book offers an extensive state-of-the-art exposition of rotational integral geometry, a field that has reached significant maturity over the past four decades. Through a unified description of key results previously scattered across various scientific journals, this book provides a cohesive and thorough account of the subject. Initially, rotational integral geometry was driven by applications in fields such as optical microscopy. Rotational integral geometry has now evolved into an independent mathematical discipline. It contains a wealth of theorems paralleling those in classical kinematic integral geometry for Euclidean spaces, such as the rotational Crofton formulae, rotational slice formulae, and principal rotational formulae. The present book presents these for very general tensor valuations in a convex geometric setting. It also discusses various applications in the biosciences, explained with a mathematical audience in mind. This book is intended for a diverse readership, including specialists in integral geometry, and researchers and graduate students working in integral, convex, and stochastic geometry, as well as geometric measure theory.