Editors:

David Laidlaw⁰,
Joachim Weickert¹

David Laidlaw
1. Department of Computer Science, Brown University, Providence, USA
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Joachim Weickert
1. Faculty of Mathematics and Computer Science Mathematical Image Analysis Group, Saarland University, Saarbrücken, Germany
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Major workshop in core field of visualization
Includes supplementary material: sn.pub/extras

Part of the book series: Mathematics and Visualization (MATHVISUAL)

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Table of contents (18 chapters)

Front Matter

Pages I-XVII

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Models for Diffusion MRI
1. Modelling, Fitting and Sampling in Diffusion MRI
  
  Daniel C. Alexander
  
  Pages 3-20
2. Tensors, Polynomials and Models for Directional Data
  
  P. G. Batchelor
  
  Pages 21-37
3. A Mixture of Wisharts (MOW) Model for Multifiber Reconstruction
  
  Bing Jian, Baba C. Vemuri, Evren Özarslan
  
  Pages 39-56
4. The Algebra of Fourth-Order Tensors with Application to Diffusion MRI
  
  Maher Moakher
  
  Pages 57-80
Higher-Level Analysis of Diffusion Images
1. Structure-Specific Statistical Mapping of White Matter Tracts
  
  Paul A. Yushkevich, Hui Zhang, Tony J. Simon, James C. Gee
  
  Pages 83-112
2. Analysis of Distance/Similarity Measures for Diffusion Tensor Imaging
  
  T. H. J. M. Peeters, P. R. Rodrigues, A. Vilanova, B. M. ter Haar Romeny
  
  Pages 113-136
Tensor Field Visualization
1. Tensor Glyph Warping: Visualizing Metric Tensor Fields using Riemannian Exponential Maps
  
  Anders Brun, Hans Knutsson
  
  Pages 139-160
2. Interactive Volume Rendering of Diffusion Tensor Data
  
  Mario Hlawitschka, Gunther H. Weber, Alfred Anwander, Owen T. Carmichael, Bernd Hamann, Gerik Scheuermann
  
  Pages 161-176
3. Dense Glyph Sampling for Visualization
  
  Louis Feng, Ingrid Hotz, Bernd Hamann, Kenneth Joy
  
  Pages 177-193
Tensor Field Analysis in the Physical Sciences
1. The Role of Tensor Fields for Satellite Gravity Gradiometry
  
  Michael Schreiner
  
  Pages 197-212
2. Tensor Visualization and Defect Detection for Nematic Liquid Crystals using Shape Characteristics
  
  T. J. Jankun-Kelly, Song Zhang, A. C. Callan-Jones, Robert A. Pelcovits, V. A. Slavin, David H. Laidlaw
  
  Pages 213-238
3. A Tensor Approach to Elastography Analysis and Visualization
  
  D. Sosa-Cabrera, M. A. Rodriguez-Florido, E. Suarez-Santana, Juan Ruiz-Alzola
  
  Pages 239-260
Tensor Image Structure Models
1. A Higher-Order Structure Tensor
  
  Thomas Schultz, Joachim Weickert, Hans-Peter Seidel
  
  Pages 263-279
2. Monogenic Curvature Tensor as Image Model
  
  Gerald Sommer, Lennart Wietzke, Di Zang
  
  Pages 281-301
Filtering with Tensors
1. A General Structure Tensor Concept and Coherence-Enhancing Diffusion Filtering for Matrix Fields
  
  Bernhard Burgeth, Stephan Didas, Joachim Weickert
  
  Pages 305-323
2. Coordinates-Based Diffusion Over the Space of Symmetric Positive-Definite Matrices
  
  Yaniv Gur, Nir Sochen
  
  Pages 325-340
3. Variational Methods for Denoising Matrix Fields
  
  S. Setzer, G. Steidl, B. Popilka, B. Burgeth
  
  Pages 341-360
4. An Operator Algebraic Inverse Scale Space Method for Symmetric Matrix Valued Images
  
  Johan Lie, Bernhard Burgeth, Oddvar Christiansen
  
  Pages 361-376

Keywords

Editors and Affiliations

Department of Computer Science, Brown University, Providence, USA

David Laidlaw
Faculty of Mathematics and Computer Science Mathematical Image Analysis Group, Saarland University, Saarbrücken, Germany

Joachim Weickert

Bibliographic Information

Book Title: Visualization and Processing of Tensor Fields
Book Subtitle: Advances and Perspectives
Editors: David Laidlaw, Joachim Weickert
Series Title: Mathematics and Visualization
DOI: https://doi.org/10.1007/978-3-540-88378-4
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2009
Hardcover ISBN: 978-3-540-88377-7Published: 09 March 2009
Softcover ISBN: 978-3-642-10003-1Published: 22 October 2010
eBook ISBN: 978-3-540-88378-4Published: 30 March 2009
Series ISSN: 1612-3786
Series E-ISSN: 2197-666X
Edition Number: 1
Number of Pages: XVII, 376
Topics: Computational Mathematics and Numerical Analysis, Mathematics of Computing, Computer Imaging, Vision, Pattern Recognition and Graphics, Image Processing and Computer Vision

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Table of contents (18 chapters)

Front Matter

Models for Diffusion MRI

Higher-Level Analysis of Diffusion Images

Tensor Field Visualization

Tensor Field Analysis in the Physical Sciences

Tensor Image Structure Models

Filtering with Tensors

Keywords

Editors and Affiliations

Department of Computer Science, Brown University, Providence, USA

Faculty of Mathematics and Computer Science Mathematical Image Analysis Group, Saarland University, Saarbrücken, Germany

Bibliographic Information

Publish with us

Buy it now

Buying options

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