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Tensor valuations and their applicat...
~
Kiderlen, Markus.
Tensor valuations and their applications in stochastic geometry and imaging
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Tensor valuations and their applications in stochastic geometry and imaging/ edited by Eva B. Vedel Jensen, Markus Kiderlen.
other author:
Jensen, Eva B. Vedel.
Published:
Cham :Springer International Publishing : : 2017.,
Description:
xiv, 462 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:
Springer eBooks
Subject:
Tensor fields. -
Online resource:
http://dx.doi.org/10.1007/978-3-319-51951-7
ISBN:
9783319519517
Tensor valuations and their applications in stochastic geometry and imaging
Tensor valuations and their applications in stochastic geometry and imaging
[electronic resource] /edited by Eva B. Vedel Jensen, Markus Kiderlen. - Cham :Springer International Publishing :2017. - xiv, 462 p. :ill. (some col.), digital ;24 cm. - Lecture notes in mathematics,21770075-8434 ;. - Lecture notes in mathematics ;1943..
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: 9783319519517
Standard No.: 10.1007/978-3-319-51951-7doiSubjects--Topical Terms:
883341
Tensor fields.
LC Class. No.: QA322
Dewey Class. No.: 515.63
Tensor valuations and their applications in stochastic geometry and imaging
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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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Mathematics and Statistics (Springer-11649)
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