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portada Tensor Valuations and Their Applications in Stochastic Geometry and Imaging (Lecture Notes in Mathematics)
Type
Physical Book
Publisher
Year
2017
Language
English
Pages
462
Format
Paperback
ISBN13
9783319519500
Edition No.
1
Categories

Tensor Valuations and Their Applications in Stochastic Geometry and Imaging (Lecture Notes in Mathematics)

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Synopsis "Tensor Valuations and Their Applications in Stochastic Geometry and Imaging (Lecture Notes in Mathematics) "

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.

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