New Developments in the Visualization and Processing of Tensor Fields

Editors:

ISBN: 978-3-642-27342-1 (Print) 978-3-642-27343-8 (Online)

Table of contents (19 chapters)

  1. Front Matter

    Pages i-xxi

  2. Structure-Tensor Computation

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-28

      Structure Tensor Estimation: Introducing Monomial Quadrature Filter Sets

    3. No Access

      Book Chapter

      Pages 29-50

      Adaptation of Tensor Voting to Image Structure Estimation

    4. No Access

      Book Chapter

      Pages 51-67

      Edge-Enhancing Diffusion Filtering for Matrix Fields

  3. Tensor-Field Visualization

    1. Front Matter

      Pages 69-69

    2. No Access

      Book Chapter

      Pages 71-92

      Fabric-Like Visualization of Tensor Field Data on Arbitrary Surfaces in Image Space

    3. No Access

      Book Chapter

      Pages 93-109

      Beyond Topology: A Lagrangian Metaphor to Visualize the Structure of 3D Tensor Fields

    4. No Access

      Book Chapter

      Pages 111-133

      Tensor Field Design: Algorithms and Applications

  4. Applications of Tensor-Field Analysis and Visualization

    1. Front Matter

      Pages 135-135

    2. No Access

      Book Chapter

      Pages 137-156

      Interactive Exploration of Stress Tensors Used in Computational Turbulent Combustion

    3. No Access

      Book Chapter

      Pages 157-168

      Shear Wave Diffusion Observed by Magnetic Resonance Elastography

  5. Diffusion Weighted MRI Visualization

    1. Front Matter

      Pages 169-169

    2. No Access

      Book Chapter

      Pages 171-185

      A Comparative Analysis of Dimension Reduction Techniques for Representing DTI Fibers as 2D/3D Points

    3. No Access

      Book Chapter

      Pages 187-207

      Exploring Brain Connectivity with Two-Dimensional Maps

    4. No Access

      Book Chapter

      Pages 209-225

      Uncertainty Propagation in DT-MRI Anisotropy Isosurface Extraction

  6. Beyond Second-Order Diffusion Tensor MRI

    1. Front Matter

      Pages 227-227

    2. No Access

      Book Chapter

      Pages 229-251

      Classification Study of DTI and HARDI Anisotropy Measures for HARDI Data Simplification

    3. No Access

      Book Chapter

      Pages 253-265

      Towards Resolving Fiber Crossings with Higher Order Tensor Inpainting

    4. No Access

      Book Chapter

      Pages 267-280

      Representation and Estimation of Tensor-Pairs

  7. Tensor Metrics

    1. Front Matter

      Pages 281-281

    2. No Access

      Book Chapter

      Pages 283-306

      On the Choice of a Tensor Distance for DTI White Matter Segmentation

    3. No Access

      Book Chapter

      Pages 307-321

      Divergence Measures and Means of Symmetric Positive-Definite Matrices

    4. No Access

      Book Chapter

      Pages 323-336

      Metric Selection and Diffusion Tensor Swelling

  8. Tensor Analysis

    1. Front Matter

      Pages 337-337

    2. No Access

      Book Chapter

      Pages 339-362

      \({\mathcal{H}}^{2}\) -Matrix Compression

    3. No Access

      Book Chapter

      Pages 363-379

      Harmonic Field Analysis

  9. Back Matter

    Pages 381-384