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.
ISBN: | 9783319519500 |
Publication date: | 12th June 2017 |
Author: | Eva B Vedel Jensen, Markus Kiderlen |
Publisher: | Springer an imprint of Springer International Publishing |
Format: | Paperback |
Pagination: | 462 pages |
Series: | Lecture Notes in Mathematics |
Genres: |
Geometry Stochastics Topology Probability and statistics |