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

ISBN 10: 3319519506 / ISBN 13: 9783319519500

Editore: Springer, 2017

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Dati bibliografici

• Titolo: Tensor Valuations and Their Applications in Stochastic Geometry and Imaging (Lecture Notes in Mathematics, 2177)
• Editore: Springer
• Data di pubblicazione: 2017
• Lingua: Inglese
• ISBN 10: 3319519506
• ISBN 13: 9783319519500
• Rilegatura: Brossura
• Condizione: New

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Riassunto

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.