© 2012

New Developments in the Visualization and Processing of Tensor Fields

  • David H. Laidlaw
  • Anna Vilanova
  • Many color illustrations

  • Blends visual and analytical understanding of the issues

  • Provides a perspective on a relatively new research area and its open problems

Conference proceedings

Part of the Mathematics and Visualization book series (MATHVISUAL)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Structure-Tensor Computation

    1. Front Matter
      Pages 1-1
    2. Hans Knutsson, Carl-Fredrik Westin, Mats Andersson
      Pages 3-28
    3. Rodrigo Moreno, Luis Pizarro, Bernhard Burgeth, Joachim Weickert, Miguel Angel Garcia, Domenec Puig
      Pages 29-50
    4. Bernhard Burgeth, Luis Pizarro, Stephan Didas
      Pages 51-67
  3. Tensor-Field Visualization

    1. Front Matter
      Pages 69-69
    2. Sebastian Eichelbaum, Mario Hlawitschka, Bernd Hamann, Gerik Scheuermann
      Pages 71-92
    3. Xavier Tricoche, Mario Hlawitschka, Samer Barakat, Christoph Garth
      Pages 93-109
  4. Applications of Tensor-Field Analysis and Visualization

    1. Front Matter
      Pages 135-135
    2. Adrian Maries, Abedul Haque, S. Levent Yilmaz, Mehdi B. Nik, G. Elisabeta Marai
      Pages 137-156
    3. Sebastian Papazoglou, Jürgen Braun, Dieter Klatt, Ingolf Sack
      Pages 157-168
  5. Diffusion Weighted MRI Visualization

    1. Front Matter
      Pages 169-169
    2. Xiaoyong Yang, Ruiyi Wu, Ziáng Ding, Wei Chen, Song Zhang
      Pages 171-185
    3. Çağatay Demiralp, Radu Jianu, David H. Laidlaw
      Pages 187-207
    4. Kai Pöthkow, Hans-Christian Hege
      Pages 209-225
  6. Beyond Second-Order Diffusion Tensor MRI

    1. Front Matter
      Pages 227-227
    2. Vesna Prčkovska, Maxime Descoteaux, Cyril Poupon, Bart M. ter Haar Romeny, Anna Vilanova
      Pages 229-251
    3. Carl-Fredrik Westin, Hans Knutsson
      Pages 267-280

About these proceedings


Bringing together key researchers in disciplines ranging from visualization and image processing to applications in structural mechanics, fluid dynamics, elastography, and numerical mathematics, the workshop that generated this edited volume was the third in the successful Dagstuhl series. Its aim, reflected in the quality and relevance of the papers presented, was to foster collaboration and fresh lines of inquiry in the analysis and visualization of tensor fields, which offer a concise model for numerous physical phenomena. Despite their utility, there remains a dearth of methods for studying all but the simplest ones, a shortage the workshops aim to address.


Documenting the latest progress and open research questions in tensor field analysis, the chapters reflect the excitement and inspiration generated  by this latest Dagstuhl workshop, held in July 2009. The topics they address range from applications of the analysis of tensor fields to purer research into their mathematical and analytical properties. They show how cooperation and the sharing of ideas and data between those engaged in pure and applied research can open new vistas in the study of tensor fields.


Diffusion MRI Image Processing Tensor Field Visualization

Editors and affiliations

  • David H. Laidlaw
    • 1
  • Anna Vilanova
    • 2
  1. 1.Dept. Computer ScienceBrown UniversityProvidenceUSA
  2. 2.Department of Biomedical EngineeringEinhoven University of TechnologyEindhovenNetherlands

Bibliographic information