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Author: Xavier Descombes
Publisher: John Wiley & Sons
ISBN: 1118601130
Category : Technology & Engineering
Languages : en
Pages : 215
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Book Description
This book develops the stochastic geometry framework for image analysis purpose. Two main frameworks are described: marked point process and random closed sets models. We derive the main issues for defining an appropriate model. The algorithms for sampling and optimizing the models as well as for estimating parameters are reviewed. Numerous applications, covering remote sensing images, biological and medical imaging, are detailed. This book provides all the necessary tools for developing an image analysis application based on modern stochastic modeling.
Author: Xavier Descombes
Publisher: John Wiley & Sons
ISBN: 1118601130
Category : Technology & Engineering
Languages : en
Pages : 215
Get Book Here
Book Description
This book develops the stochastic geometry framework for image analysis purpose. Two main frameworks are described: marked point process and random closed sets models. We derive the main issues for defining an appropriate model. The algorithms for sampling and optimizing the models as well as for estimating parameters are reviewed. Numerous applications, covering remote sensing images, biological and medical imaging, are detailed. This book provides all the necessary tools for developing an image analysis application based on modern stochastic modeling.
Author: M. N. M. Van Lieshout
Publisher:
ISBN:
Category :
Languages : en
Pages : 172
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Book Description
Author: David Coupier
Publisher: Springer
ISBN: 3030135470
Category : Mathematics
Languages : en
Pages : 232
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Book Description
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.
Author: Elke Thönnes
Publisher:
ISBN:
Category :
Languages : en
Pages : 288
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Book Description
Author: Wilfrid S. Kendall
Publisher: Routledge
ISBN: 1351413724
Category : Mathematics
Languages : en
Pages : 419
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Book Description
Stochastic geometry involves the study of random geometric structures, and blends geometric, probabilistic, and statistical methods to provide powerful techniques for modeling and analysis. Recent developments in computational statistical analysis, particularly Markov chain Monte Carlo, have enormously extended the range of feasible applications. Stochastic Geometry: Likelihood and Computation provides a coordinated collection of chapters on important aspects of the rapidly developing field of stochastic geometry, including: o a "crash-course" introduction to key stochastic geometry themes o considerations of geometric sampling bias issues o tesselations o shape o random sets o image analysis o spectacular advances in likelihood-based inference now available to stochastic geometry through the techniques of Markov chain Monte Carlo
Author: Maria Nicolette Margaretha Lieshout
Publisher:
ISBN:
Category :
Languages : en
Pages : 175
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Book Description
Author: François Baccelli
Publisher: Now Publishers Inc
ISBN: 160198264X
Category : Computers
Languages : en
Pages : 224
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Book Description
This volume bears on wireless network modeling and performance analysis. The aim is to show how stochastic geometry can be used in a more or less systematic way to analyze the phenomena that arise in this context. It first focuses on medium access control mechanisms used in ad hoc networks and in cellular networks. It then discusses the use of stochastic geometry for the quantitative analysis of routing algorithms in mobile ad hoc networks. The appendix also contains a concise summary of wireless communication principles and of the network architectures considered in the two volumes.
Author: Danish Natural Science Research Council
Publisher:
ISBN:
Category :
Languages : en
Pages : 299
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Book Description
Author: Cantabrian Education Council
Publisher:
ISBN:
Category :
Languages : en
Pages : 332
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Book Description
Author: Giovanni Peccati
Publisher: Springer
ISBN: 3319052330
Category : Mathematics
Languages : en
Pages : 359
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Book Description
Stochastic geometry is the branch of mathematics that studies geometric structures associated with random configurations, such as random graphs, tilings and mosaics. Due to its close ties with stereology and spatial statistics, the results in this area are relevant for a large number of important applications, e.g. to the mathematical modeling and statistical analysis of telecommunication networks, geostatistics and image analysis. In recent years – due mainly to the impetus of the authors and their collaborators – a powerful connection has been established between stochastic geometry and the Malliavin calculus of variations, which is a collection of probabilistic techniques based on the properties of infinite-dimensional differential operators. This has led in particular to the discovery of a large number of new quantitative limit theorems for high-dimensional geometric objects. This unique book presents an organic collection of authoritative surveys written by the principal actors in this rapidly evolving field, offering a rigorous yet lively presentation of its many facets.
