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Tensor Valuations and Their Applications in Stochastic Geometry and Imaging

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Tensor Valuations and Their Applications in Stochastic Geometry and Imaging Synopsis

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.

About This Edition

ISBN: 9783319519500
Publication date:
Author: Eva B Vedel Jensen, Markus Kiderlen
Publisher: Springer an imprint of Springer International Publishing
Format: Paperback
Pagination: 462 pages
Series: Lecture Notes in Mathematics
Genres: Geometry
Stochastics
Topology
Probability and statistics