Results 281 to 290 of about 245,006 (326)

Introduction to Stochastic Geometry

2016
This chapter introduces some of the fundamental notions from stochastic geometry. Background information from convex geometry is provided as far as this is required for the applications to stochastic geometry.
Hug, Daniel, Reitzner, M.
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Storm processes and stochastic geometry

Extremes, 2010
This paper is devoted to a prototype of max-stable models called the storm process. At first its spatial distribution is given in association with different observation supports. Then the compatibility relationships between extremal coefficients at various supports are completely characterized. Particular attention is paid to the special case where the
Lantuéjoul, Christian, Bacro, Jean-Noel, Bel, Liliane   +2 more
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Stereology and Stochastic Geometry

International Statistical Review / Revue Internationale de Statistique, 1990
In the last ten years stereology has drastically changed its state, and it seems that this process will continue in the future. This applies to its practical methods as well as to its theoretical fundamentals. Thus it may be justified to publish now a further review paper on stereology in this journal, following the papers by Ripley (1984) and Jensen ...
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Stochastic geometry from the standpoint of integral geometry

Advances in Applied Probability, 1977
This two-part paper surveys some recent developments in integral and stochastic geometry. Part I surveys applications of integral geometry to the theory of euclidean motion-invariant random fibrefields (a fibrefield is a collection of smooth arcs on the plane), involving marked point processes, Palm distribution theory and vertex pattern analysis. Part
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On the Stochastic Geometry of Growth

2003
The pioneering book by D’Arcy Thompson, entitled “On Growth and Form” [13], was perhaps the first to consider applying (deterministic) mathematics to problems in biology, in particular those problems associated with the growth of biological objects.
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Stochastic cooling in confined geometries

Journal of the Optical Society of America B, 2003
The implementation of stochastic cooling in a confined geometry is discussed, where the boundary shape is found to be an independent control parameter for arriving at a variety of final spatial and momentum distributions. Results for integrable and nonintegrable geometries are contrasted in terms of both efficiency of cooling and mechanisms for ...
Bala Sundaram, Mark G. Raizen, Pavel Ivanushkin   +2 more
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Stochastic Geometry and Perception

1987
Recently the concept of a proximity measure has emerged as a computational cornerstone for modelling human perception. In particular, for visual perception a proximity measure is an index defined over pairs of images that quantifies the degree to which the two objects are alike as perceived by a respondent at the particular time of measurement ...
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Stochastic Geometry

2019
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 ...
Wilfrid S. Kendall, M. N. M. Lieshout, Ole E. Barndorff-Nielsen   +2 more
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Some Stochastic Geometry

1996
We begin with a review of some basic definitions and ideas from probability theory. The reader wishing a more detailed description of the tools that will be necessary can consult [43].
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Perfect simulation in stochastic geometry

Pattern Recognition, 1999
Simulation plays an important role in stochastic geometry and related fields, because all but the simplest random set models tend to be intractable to analysis. Many simulation algorithms deliver (approximate) samples of such random set models, for example by simulating the equilibrium distribution of a Markov chain such as a spatial birth-and-death ...
Elke Thönnes, Wilfrid S. Kendall
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