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

  • Ingrid Hotz
  • Thomas Schultz
Conference proceedings

Part of the Mathematics and Visualization book series (MATHVISUAL)

Table of contents

  1. Front Matter
    Pages i-x
  2. Mathematical Foundations

    1. Front Matter
      Pages 1-1
    2. T. C. J. Dela Haije, A. Fuster, L. M. J. Florack
      Pages 21-35
    3. Yue Zhang, Jonathan Palacios, Eugene Zhang
      Pages 73-91
    4. Carmeliza Navasca, Deonnia N. Pompey
      Pages 93-106
  3. Processing, Filtering and Interpolation

    1. Front Matter
      Pages 107-107
    2. Jasper J. van de Gronde, Mikola Lysenko, Jos B. T. M. Roerdink
      Pages 109-127
    3. Andreas Kleefeld, Bernhard Burgeth
      Pages 129-148
    4. Luc Florack, Tom Dela Haije, Andrea Fuster
      Pages 149-162
  4. Visualization

    1. Front Matter
      Pages 189-189
    2. Olivier Vaillancourt, Maxime Chamberland, Jean-Christophe Houde, Maxime Descoteaux
      Pages 191-212
    3. Sujal Bista, Jiachen Zhuo, Rao P. Gullapalli, Amitabh Varshney
      Pages 213-234
    4. Valentin Zobel, Jan Reininghaus, Ingrid Hotz
      Pages 257-267
  5. Statistical Analysis

    1. Front Matter
      Pages 269-269
    2. Maxime Taquet, Benoit Scherrer, Simon K. Warfield
      Pages 271-297
  6. Applications

    1. Front Matter
      Pages 321-321
    2. Adrian Maries, Timothy Luciani, P. H. Pisciuneri, Mehdi B. Nik, S. Levent Yilmaz, Peyman Givi et al.
      Pages 323-338
    3. Marc Schöneich, Andrea Kratz, Valentin Zobel, Gerik Scheuermann, Markus Stommel, Ingrid Hotz
      Pages 339-351
    4. Vesna Prčkovska, Magí Andorrà, Pablo Villoslada, Eloy Martinez-Heras, Remco Duits, David Fortin et al.
      Pages 353-377
  7. Back Matter
    Pages 379-383

About these proceedings


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.


diffusion-weighted imaging image processing interpolation oriented data tensor fields ​visualization

Editors and affiliations

  • Ingrid Hotz
    • 1
  • Thomas Schultz
    • 2
  1. 1.Linköping UniversityNorrköpingSweden
  2. 2.Visualization and Medical Image AnalysisUniversity of BonnBonnGermany

Bibliographic information