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Tensor valuations and their applicat...

Jensen, Eva B. Vedel.

Tensor valuations and their applications in stochastic geometry and imaging

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Tensor valuations and their applications in stochastic geometry and imagingedited by Eva B. Vedel Jensen, Markus Kiderlen.
其他作者:	Jensen, Eva B. Vedel.
出版者:	Cham :Springer International Publishing :2017.
面頁冊數:	xiv, 462 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	Tensor fields.
電子資源:	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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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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