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Tensor Valuations and Their Applications in Stochastic Geometry and Imaging
Tensor Valuations and Their Applications in Stochastic Geometry and Imaging
Eva B. Vedel Jensen, Markus Kiderlen (eds.)
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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.
Categories:
Year:
2017
Edition:
1
Publisher:
Springer International Publishing
Language:
English
Pages:
XIV, 462
ISBN:
978-3-319-51950-0, 978-3-319-51951-7
Series:
Lecture Notes in Mathematics 2177
Your tags:
Geometry;Manifolds and Cell Complexes (incl. Diff.Topology);Probability Theory and Stochastic Processes
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