Tensor Valuations and Their Applications in Stochastic Geometry and Imaging
Eva B. Vedel Jensen, Markus Kiderlen, "Tensor Valuations and Their Applications in Stochastic Geometry and Imaging"
English | EPUB | 2017 | 469 Pages | ISBN : 3319519506 | 6 MB
English | EPUB | 2017 | 469 Pages | ISBN : 3319519506 | 6 MB
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.