Tensor Valuations and Their Applications in Stochastic Geometry and Imaging

462 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783319519500
• Sprache: Englisch
• Erscheinungsdatum: 12.06.2017
• Genre: Mathematik/Geometrie
• Verlag: Springer International Publishing
• Herausgegeben von: Eva B. Vedel Jensen, Markus Kiderlen