Visualization and Processing of Tensor Fields

  • Joachim Weickert
  • Hans Hagen

Part of the Mathematics and Visualization book series (MATHVISUAL)

Table of contents

  1. Front Matter
    Pages I-XV
  2. Introduction

    1. Front Matter
      Pages 1-1
    2. Hans Hagen, Christoph Garth
      Pages 3-13
  3. Feature Detection with Tensors

    1. Front Matter
      Pages 15-15
    2. Thomas Brox, Rein van den Boomgaard, François Lauze, Joost van de Weijer, Joachim Weickert, Pavel Mrázek et al.
      Pages 17-47
  4. Diffusion Tensor Imaging

    1. Front Matter
      Pages 81-81
    2. Klaus R. Hahn, Sergej Prigarin, Susanne Heim, Khader Hasan
      Pages 107-119
    3. A. Vilanova, S. Zhang, G. Kindlmann, D. Laidlaw
      Pages 121-153
    4. James C. Gee, Hui Zhang, Abraham Dubb, Brian B. Avants, Paul A. Yushkevich, Jeffrey T. Duda
      Pages 155-163
    5. Ofer Pasternak, Nir Sochen, Yaniv Assaf
      Pages 165-176
    6. Evren Özarslan, Baba C. Vemuri, Thomas H. Mareci
      Pages 177-187
  5. Visualization of Tensor Fields

    1. Front Matter
      Pages 189-189
    2. Werner Benger, Hans-Christian Hege
      Pages 191-214
    3. Gordon Kindlmann
      Pages 215-224
    4. Xiaoqiang Zheng, Xavier Tricoche, Alex Pang
      Pages 241-256
    5. Thomas Wischgoll, Joerg Meyer
      Pages 257-267
    6. Ingrid Hotz, Louis Feng, Hans Hagen, Bernd Hamann, Kenneth Joy
      Pages 269-281
  6. Tensor Field Transformations

    1. Front Matter
      Pages 283-283
    2. Sinisa Pajevic, Akram Aldroubi, Peter J. Basser
      Pages 299-314
    3. Joachim Weickert, Martin Welk
      Pages 315-325
    4. James C. Gee, Daniel C. Alexander
      Pages 327-342
  7. Image Processing Methods for Tensor Fields

    1. Front Matter
      Pages 343-343
    2. Martin Welk, Christian Feddern, Bernhard Burgeth, Joachim Weickert
      Pages 345-356
    3. Bernhard Burgeth, Martin Welk, Christian Feddern, Joachim Weickert
      Pages 357-368
    4. Suárez-Santana E., Rodriguez-Florido M. A., Castaño-Moraga C., Westin C.-F., Ruiz-Alzola J.
      Pages 369-380
    5. Carl-Fredrik Westin, Marcos Martin-Fernandez, Carlos Alberola-Lopez, Juan Ruiz-Alzola, Hans Knutsson
      Pages 381-398
    6. Joachim Weickert, Christian Feddern, Martin Welk, Bernhard Burgeth, Thomas Brox
      Pages 399-414
  8. Back Matter
    Pages 415-481

About this book


Matrix-valued data sets - so-called second order tensor fields -
have gained significant importance in scientific visualization and
image processing due to recent developments such as diffusion tensor
imaging. This book is the first edited volume that presents the
state-of-the-art in the visualization and processing of tensor fields.
It contains some longer chapters dedicated to surveys and tutorials of
specific topics, as well as a great deal of original work by leading
experts that has not been published before. It serves as an overview
for the inquiring scientist, as a basic foundation for developers and
practitioners, and as as a textbook for specialized classes and seminars
for graduate and doctoral students.


3D differential equation differential geometry diffusion tensor imaging image processing measure scientific visualization sets tensor fields topology visualization

Editors and affiliations

  • Joachim Weickert
    • 1
  • Hans Hagen
    • 2
  1. 1.Faculty of Mathematics and Computer ScienceSaarland UniversitySaarbrückenGermany
  2. 2.Computer Graphics and Visualization GroupTechnical University of KaiserslauternKaiserslauternGermany

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2006
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-25032-6
  • Online ISBN 978-3-540-31272-7
  • Series Print ISSN 1612-3786
  • Buy this book on publisher's site