Lecture Notes in Mathematics

Tensor Valuations and Their Applications in Stochastic Geometry and Imaging

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

  • 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    Includes new yet unpublished results that make this volume an up-to-date survey of valuation theory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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eBook $69.99
price for USA (gross)
  • ISBN 978-3-319-51951-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
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  • Immediate eBook download after purchase
Softcover $89.99
price for USA
  • ISBN 978-3-319-51950-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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)

  • Valuations on Convex Bodies: The Classical Basic Facts

    Schneider, Rolf

    Pages 1-25

  • Tensor Valuations and Their Local Versions

    Hug, Daniel (et al.)

    Pages 27-65

  • Structures on Valuations

    Alesker, Semyon

    Pages 67-78

  • Integral Geometry and Algebraic Structures for Tensor Valuations

    Bernig, Andreas (et al.)

    Pages 79-109

  • Crofton Formulae for Tensor-Valued Curvature Measures

    Hug, Daniel (et al.)

    Pages 111-156

Buy this book

eBook $69.99
price for USA (gross)
  • 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 $89.99
price for USA
  • ISBN 978-3-319-51950-0
  • Free shipping for individuals worldwide
  • 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 and Tables
9 b/w illustrations, 16 illustrations in colour
Topics