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.

• ISBN: 978-3-319-51950-0
• Editorial: Springer
• Encuadernacion: Rústica
• Páginas: 437
• Fecha Publicación: 09/05/2017
• Nº Volúmenes: 1
• Idioma: Inglés