Tensor Valuations and Their Applications in Stochastic Geometry and Imaging
Eva B. Vedel Jensen, Markus Kiderlen (eds.)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.
年:
2017
版本:
1
出版商:
Springer International Publishing
語言:
english
頁數:
469
ISBN 10:
3319519514
ISBN 13:
9783319519517
系列:
Lecture Notes in Mathematics 2177
文件:
PDF, 7.31 MB
IPFS:
,
english, 2017