Mathematics and Visualization

Visualization and Processing of Higher Order Descriptors for Multi-Valued Data

Editors: Hotz, Ingrid, Schultz, Thomas (Eds.)

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  • Transfer result from one application to another between which there is otherwise not much exchange
  • Bringing together ideas from applications and theory: Applications can stimulate new basic research, as basic results can be of great use in the applications
  • Summarizing the state of the art and major open questions in the field
  • Presenting new and innovative work with the capabilities of advancing the field
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eBook $129.00
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  • ISBN 978-3-319-15090-1
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  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-319-15089-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week).
  • Due: November 4, 2016
  • ISBN 978-3-319-36454-4
  • Free shipping for individuals worldwide
About this book

Modern imaging techniques and computational simulations yield complex multi-valued data that require higher-order mathematical descriptors. This book addresses topics of importance when dealing with such data, including frameworks for image processing, visualization and statistical analysis of higher-order descriptors. It also provides examples of the successful use of higher-order descriptors in specific applications and a glimpse of the next generation of diffusion MRI. To do so, it combines contributions on new developments, current challenges in this area and state-of-the-art surveys.

Compared to the increasing importance of higher-order descriptors in a range of applications, tools for analysis and processing are still relatively hard to come by. Even though application areas such as medical imaging, fluid dynamics and structural mechanics are very different in nature they face many shared challenges. This book provides an interdisciplinary perspective on this topic with contributions from key researchers in disciplines ranging from visualization and image processing to applications. It is based on the 5th Dagstuhl seminar on Visualization and Processing of Higher Order Descriptors for Multi-Valued Data.

This book will appeal to scientists who are working to develop new analysis methods in the areas of image processing and visualization, as well as those who work with applications that generate higher-order data or could benefit from higher-order models and are searching for novel analytical tools.

Table of contents (18 chapters)

Table of contents (18 chapters)
  • Diffusion-Weighted Magnetic Resonance Signal for General Gradient Waveforms: Multiple Correlation Function Framework, Path Integrals, and Parallels Between Them

    Yolcu, Cem (et al.)

    Pages 3-19

  • Finslerian Diffusion and the Bloch–Torrey Equation

    Dela Haije, T. C. J. (et al.)

    Pages 21-35

  • Fiber Orientation Distribution Functions and Orientation Tensors for Different Material Symmetries

    Moakher, Maher (et al.)

    Pages 37-71

  • Topology of 3D Linear Symmetric Tensor Fields

    Zhang, Yue (et al.)

    Pages 73-91

  • Random Projections for Low Multilinear Rank Tensors

    Navasca, Carmeliza (et al.)

    Pages 93-106

Buy this book

eBook $129.00
price for USA in USD (gross)
  • ISBN 978-3-319-15090-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-319-15089-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week).
  • Due: November 4, 2016
  • ISBN 978-3-319-36454-4
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Visualization and Processing of Higher Order Descriptors for Multi-Valued Data
Editors
  • Ingrid Hotz
  • Thomas Schultz
Series Title
Mathematics and Visualization
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-15090-1
DOI
10.1007/978-3-319-15090-1
Hardcover ISBN
978-3-319-15089-5
Softcover ISBN
978-3-319-36454-4
Series ISSN
1612-3786
Edition Number
1
Number of Pages
X, 383
Number of Illustrations
24 b/w illustrations, 149 illustrations in colour
Topics