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Lecture Notes in Mathematics

Tensor Valuations and Their Applications in Stochastic Geometry and Imaging

Editors: Jensen, Eva B. Vedel, Kiderlen, Markus (Eds.)

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  • 15 chapters written by experts in their fields give a comprehensive overview of the modern theory of tensor valuations
    Includes new yet unpublished results that make this volume an up-to-date survey of valuation theory
    Chapters on applications of tensor valuations deepen understanding and emphasize the usefulness of theoretical concepts

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About this book

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.

Table of contents (15 chapters)

Table of contents (15 chapters)

Buy this book

eBook $59.99
price for USA in USD
  • ISBN 978-3-319-51951-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.99
price for USA in USD
  • ISBN 978-3-319-51950-0
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Tensor Valuations and Their Applications in Stochastic Geometry and Imaging
Editors
  • Eva B. Vedel Jensen
  • Markus Kiderlen
Series Title
Lecture Notes in Mathematics
Series Volume
2177
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-51951-7
DOI
10.1007/978-3-319-51951-7
Softcover ISBN
978-3-319-51950-0
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XIV, 462
Number of Illustrations
9 b/w illustrations, 16 illustrations in colour
Topics

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