Tensor valuations and their applications in stochastic geometry and imaging / Eva B. Vedel Jense, Markus Kirderlen, editors

Auteur secondaire : Vedel Jense, Eva B., 1951-, Editeur scientifique • Kirderlen, Markus, Editeur scientifiqueType de document : MonographieCollection : Lecture notes in mathematics, 2177Langue : anglais.Pays: Swisse.Éditeur : Cham : Springer, 2017Description : 1 vol. (XIV-460 p.) ; 24 cmISBN: 9783319519500.ISSN: 0075-8434.Bibliographie : Références bibliogr. en fin de chapitres. Index.Sujet MSC : 53-06, Proceedings, conferences, collections, etc. pertaining to differential geometry
53C65, Global differential geometry, Integral geometry; differential forms, currents, etc.
60D05, Geometric probability and stochastic geometry
52A22, General convexity, Random convex sets and integral geometry (aspects of convex geometry)
52-06, Proceedings, conferences, collections, etc. pertaining to convex and discrete geometry
En-ligne : Zentralblatt | MSN
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53-06 VED (Browse shelf(Opens below)) Available 12465-01

Contient des textes issus du "Workshop on tensor valuations in stochastic geometry and imaging" qui s'est tenu du 21 au 26 septembre 2014 au Danemark

Références bibliogr. en fin de chapitres. Index

Publisher’s description: 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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