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Laidlaw, David

Visualization and Processing of Tensor Fields

Laidlaw, David - Visualization and Processing of Tensor Fields, e-bok


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ISBN: 9783540883784

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Table of contents

I. Models for Diffusion MRI

1. Modelling, Fitting and Sampling in Diffusion MRI
Daniel C. Alexander

2. Tensors, Polynomials and Models for Directional Data
P. G. Batchelor

3. A Mixture of Wisharts (MOW) Model for Multifiber Reconstruction
Bing Jian, Baba C. Vemuri, Evren Özarslan

4. The Algebra of Fourth-Order Tensors with Application to Diffusion MRI
Maher Moakher

II. Higher-Level Analysis of Diffusion Images

5. Structure-Specific Statistical Mapping of White Matter Tracts
Paul A. Yushkevich, Hui Zhang, Tony J. Simon, James C. Gee

6. Analysis of Distance/Similarity Measures for Diffusion Tensor Imaging
T. H. J. M. Peeters, P. R. Rodrigues, A. Vilanova, B. M. Haar Romeny

7. Tensor Glyph Warping: Visualizing Metric Tensor Fields using Riemannian Exponential Maps
Anders Brun, Hans Knutsson

III. Tensor Field Visualization

8. Interactive Volume Rendering of Diffusion Tensor Data
Mario Hlawitschka, Gunther H. Weber, Alfred Anwander, Owen T. Carmichael, Bernd Hamann, Gerik Scheuermann

9. Dense Glyph Sampling for Visualization
Louis Feng, Ingrid Hotz, Bernd Hamann, Kenneth Joy

IV. Tensor Field Analysis in the Physical Sciences

10. The Role of Tensor Fields for Satellite Gravity Gradiometry
Michael Schreiner

11. 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

12. A Tensor Approach to Elastography Analysis and Visualization
D. Sosa-Cabrera, M. A. Rodriguez-Florido, E. Suarez-Santana, Juan Ruiz-Alzola

13. A Higher-Order Structure Tensor
Thomas Schultz, Joachim Weickert, Hans-Peter Seidel

14. Monogenic Curvature Tensor as Image Model
Gerald Sommer, Lennart Wietzke, Di Zang

VI. Filtering with Tensors

15. A General Structure Tensor Concept and Coherence-Enhancing Diffusion Filtering for Matrix Fields
Bernhard Burgeth, Stephan Didas, Joachim Weickert

16. Coordinates-Based Diffusion Over the Space of Symmetric Positive-Definite Matrices
Yaniv Gur, Nir Sochen

17. Variational Methods for Denoising Matrix Fields
S. Setzer, G. Steidl, B. Popilka, B. Burgeth

18. An Operator Algebraic Inverse Scale Space Method for Symmetric Matrix Valued Images
Johan Lie, Bernhard Burgeth, Oddvar Christiansen

Nyckelord: Mathematics, Computational Mathematics and Numerical Analysis, Mathematics of Computing, Computer Imaging, Vision, Pattern Recognition and Graphics, Image Processing and Computer Vision

Mathematics and Visualization

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