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Visualization and Processing of Tensor Fields

Advances and Perspectives

  • Book
  • © 2009

Overview

Editors:
  1. David Laidlaw

    1. Department of Computer Science, Brown University, Providence, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Joachim Weickert

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

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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)

  1. Front Matter

    Pages I-XVII
    Download chapter PDF

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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
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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

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