Tensor Valuations and Their Applications in Stochastic Geometry and Imaging

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Jensen, Eva B. Vedel (Επιμελητής έκδοσης), Kiderlen, Markus (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Lecture Notes in Mathematics, 2177
• Θέματα: Mathematics.; Geometry.; Probabilities.; Manifolds (Mathematics).; Complex manifolds.; Manifolds and Cell Complexes (incl. Diff.Topology).; Probability Theory and Stochastic Processes.
• Φυσική περιγραφή: XIV, 462 p. 25 illus., 16 illus. in color. online resource.
• ISBN: 9783319519517
• ISSN: 0075-8434 ;

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.