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Tensor Valuations and Their Applications in Stochastic Geometry and Imaging

Tensor Valuations and Their Applications in Stochastic Geometry and Imaging

Softcover - 9783319519500
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Beschreibung

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.

Details

Verlag Springer International Publishing
Ersterscheinung 12. Juni 2017
Maße 23.5 cm x 15.5 cm
Gewicht 715 Gramm
Format Softcover
ISBN-13 9783319519500
Auflage 1st ed. 2017
Seiten 462

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