Tensor Valuations and Their Applications in Stochastic Geometry and Imaging (Lecture Notes in Mathematics)

Eva B. Vedel Jensen, Markus Kiderlen

ISBN 10: 3319519506 / ISBN 13: 9783319519500

Verlag: Springer 2017-06-12, 2017

Beschreibung

Bestandsnummer des Verkäufers 6666-IUK-9783319519500

Bibliografische Details

• Titel: Tensor Valuations and Their Applications in Stochastic Geometry and Imaging (Lecture Notes in Mathematics)
• Verlag: Springer 2017-06-12
• Erscheinungsjahr: 2017
• Sprache: Englisch
• ISBN-10: 3319519506
• ISBN-13: 9783319519500
• Einband: Paperback
• Zustand: New

Über diesen Titel

Inhaltsangabe

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.