Tensor Valuations and Their Applications in Stochastic Geometry and Imaging

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.Tensor Valuations and Their Applications in Stochastic Geometry and Imaging is written by Eva B. Vedel Jensen and published by Springer. ISBNs for Tensor Valuations and Their Applications in Stochastic Geometry and Imaging are 9783319519517, 3319519514 and the print ISBNs are 9783319519500, 3319519506.