Title: Tensor Valuations and Their Applications in Stochastic Geometry and Imaging (Lecture Notes in Mathematics, 2177)
Publisher: Springer
Publication Date: 2017
Language: English
ISBN 10: 3319519506
ISBN 13: 9783319519500
Binding: Soft cover
Condition: New

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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.

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