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Tensor Valuations and Their Applications in Stochastic Geometry and Imaging (Lecture Notes in Mathematics, Band 2177) - Softcover

 
9783319519500: Tensor Valuations and Their Applications in Stochastic Geometry and Imaging (Lecture Notes in Mathematics, Band 2177)
Softcover
ISBN 10: 3319519506 ISBN 13: 9783319519500
Verlag: Springer, 2017

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.

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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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Verlag
Springer
Erscheinungsdatum
2017
Sprache
Englisch
ISBN 10 
3319519506
ISBN 13 
9783319519500
Einband
Taschenbuch
Auflage
1
Anzahl der Seiten
476
Herausgeber
Jensen Eva B. Vedel, Kiderlen Markus
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