Lecture Notes in Mathematics

Jensen, Eva B. Vedel; Kiderlen, Markus

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.

Details

Published by: Springer

Publication Date: 2017-06-12

Format: Paperback

ISBN-13: 9783319519500

DOI: 10.1007/978-3-319-51951-7

Dimensions: 235cm x155cm

Pages: 462