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Tensor valuations and their applicat...

Jensen, Eva B. Vedel.

Tensor valuations and their applications in stochastic geometry and imaging

Record Type:	Electronic resources : Monograph/item
Title/Author:	Tensor valuations and their applications in stochastic geometry and imagingedited 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$q(electronic bk.)

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 ;2035..

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$q(electronic bk.)

Standard No.: 10.1007/978-3-319-51951-7doiSubjects--Topical Terms:

577110
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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245 0 0 $a Tensor valuations and their applications in stochastic geometry and imaging $h [electronic resource] / $c edited by Eva B. Vedel Jensen, Markus Kiderlen.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xiv, 462 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2177
520 $a 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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650 0 $a Stochastic geometry. $3 189619
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Geometry. $3 183883
650 2 4 $a Manifolds and Cell Complexes (incl. Diff.Topology) $3 253172
650 2 4 $a Probability Theory and Stochastic Processes. $3 274061
700 1 $a Jensen, Eva B. Vedel. $3 242040
700 1 $a Kiderlen, Markus. $3 787706
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