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Mathematics and Visualization
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Anisotropy Across Fields and Scales

Editors: Özarslan, E., Schultz, Th., Zhang, E., Fuster, A. (Eds.)

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  • ISBN 978-3-030-56215-1
  • This book is an open access book, you can download it for free on link.springer.com
Hardcover 51,99 €
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  • ISBN 978-3-030-56214-4
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About this book

This open access book focuses on processing, modeling, and visualization of anisotropy information, which are often addressed by employing sophisticated mathematical constructs such as tensors and other higher-order descriptors. It also discusses adaptations of such constructs to problems encountered in seemingly dissimilar areas of medical imaging, physical sciences, and engineering. Featuring original research contributions as well as insightful reviews for scientists interested in handling anisotropy information, it covers topics such as pertinent geometric and algebraic properties of tensors and tensor fields, challenges faced in processing and visualizing different types of data, statistical techniques for data processing, and specific applications like mapping white-matter fiber tracts in the brain.

The book helps readers grasp the current challenges in the field and provides information on the techniques devised to address them. Further, it facilitates the transfer of knowledge between different disciplines in order to advance the research frontiers in these areas.

This multidisciplinary book presents, in part, the outcomes of the seventh in a series of Dagstuhl seminars devoted to visualization and processing of tensor fields and higher-order descriptors, which was held in Dagstuhl, Germany, on October 28–November 2, 2018.



Table of contents (13 chapters)

Table of contents (13 chapters)
  • Variance Measures for Symmetric Positive (Semi-) Definite Tensors in Two Dimensions

    Pages 3-22

    Herberthson, Magnus (et al.)

  • Degenerate Curve Bifurcations in 3D Linear Symmetric Tensor Fields

    Pages 23-38

    Zhang, Yue (et al.)

  • Continuous Histograms for Anisotropy of 2D Symmetric Piece-Wise Linear Tensor Fields

    Pages 39-70

    Masood, Talha Bin (et al.)

  • Tensor Approximation for Multidimensional and Multivariate Data

    Pages 73-98

    Pajarola, Renato (et al.)

  • Fourth-Order Anisotropic Diffusion for Inpainting and Image Compression

    Pages 99-124

    Jumakulyyev, Ikram (et al.)

Buy this book

eBook  
  • ISBN 978-3-030-56215-1
  • This book is an open access book, you can download it for free on link.springer.com
Hardcover 51,99 €
price for Spain (gross)
  • ISBN 978-3-030-56214-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Anisotropy Across Fields and Scales
Editors
  • Evren Özarslan
  • Thomas Schultz
  • Eugene Zhang
  • Andrea Fuster
Series Title
Mathematics and Visualization
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s)
eBook ISBN
978-3-030-56215-1
DOI
10.1007/978-3-030-56215-1
Hardcover ISBN
978-3-030-56214-4
Series ISSN
1612-3786
Edition Number
1
Number of Pages
X, 280
Number of Illustrations
18 b/w illustrations, 91 illustrations in colour
Topics