Tensor Valuations and Their Applications in Stochastic Geometry and Imaging

Markus Kiderlen

ISBN 10: 3319519506 / ISBN 13: 9783319519500

Verlag: Springer International Publishing, Springer Nature Switzerland Jun 2017, 2017

Beschreibung

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 476 pp. Englisch.

Bestandsnummer des Verkäufers 9783319519500

Bibliografische Details

• Titel: Tensor Valuations and Their Applications in Stochastic Geometry and Imaging
• Verlag: Springer International Publishing, Springer Nature Switzerland Jun 2017
• Erscheinungsjahr: 2017
• Sprache: Englisch
• ISBN-10: 3319519506
• ISBN-13: 9783319519500
• Einband: Taschenbuch
• Zustand: Neu

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.