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Über dieses Buch

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.

Inhaltsverzeichnis

Frontmatter

Structure-Tensor Computation

Frontmatter

2012 | OriginalPaper | Buchkapitel

Structure Tensor Estimation: Introducing Monomial Quadrature Filter Sets

Hans Knutsson, Carl-Fredrik Westin, Mats Andersson

2012 | OriginalPaper | Buchkapitel

Adaptation of Tensor Voting to Image Structure Estimation

Rodrigo Moreno, Luis Pizarro, Bernhard Burgeth, Joachim Weickert, Miguel Angel Garcia, Domenec Puig

2012 | OriginalPaper | Buchkapitel

Edge-Enhancing Diffusion Filtering for Matrix Fields

Bernhard Burgeth, Luis Pizarro, Stephan Didas

Tensor-Field Visualization

Frontmatter

2012 | OriginalPaper | Buchkapitel

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

Sebastian Eichelbaum, Mario Hlawitschka, Bernd Hamann, Gerik Scheuermann

2012 | OriginalPaper | Buchkapitel

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

Xavier Tricoche, Mario Hlawitschka, Samer Barakat, Christoph Garth

2012 | OriginalPaper | Buchkapitel

Tensor Field Design: Algorithms and Applications

Eugene Zhang

Applications of Tensor-Field Analysis and Visualization

Frontmatter

2012 | OriginalPaper | Buchkapitel

Interactive Exploration of Stress Tensors Used in Computational Turbulent Combustion

Adrian Maries, Abedul Haque, S. Levent Yilmaz, Mehdi B. Nik, G. Elisabeta Marai

2012 | OriginalPaper | Buchkapitel

Shear Wave Diffusion Observed by Magnetic Resonance Elastography

Sebastian Papazoglou, Jürgen Braun, Dieter Klatt, Ingolf Sack

Diffusion Weighted MRI Visualization

Frontmatter

2012 | OriginalPaper | Buchkapitel

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

Xiaoyong Yang, Ruiyi Wu, Ziáng Ding, Wei Chen, Song Zhang

2012 | OriginalPaper | Buchkapitel

Exploring Brain Connectivity with Two-Dimensional Maps

Çağatay Demiralp, Radu Jianu, David H. Laidlaw

2012 | OriginalPaper | Buchkapitel

Uncertainty Propagation in DT-MRI Anisotropy Isosurface Extraction

Kai Pöthkow, Hans-Christian Hege

Beyond Second-Order Diffusion Tensor MRI

Frontmatter

2012 | OriginalPaper | Buchkapitel

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

Vesna Prčkovska, Maxime Descoteaux, Cyril Poupon, Bart M. ter Haar Romeny, Anna Vilanova

2012 | OriginalPaper | Buchkapitel

Towards Resolving Fiber Crossings with Higher Order Tensor Inpainting

Thomas Schultz

2012 | OriginalPaper | Buchkapitel

Representation and Estimation of Tensor-Pairs

Carl-Fredrik Westin, Hans Knutsson

Tensor Metrics

Frontmatter

2012 | OriginalPaper | Buchkapitel

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

Rodrigo de Luis-García, Carlos Alberola-López, Carl-Fredrik Westin

2012 | OriginalPaper | Buchkapitel

Divergence Measures and Means of Symmetric Positive-Definite Matrices

Maher Moakher

2012 | OriginalPaper | Buchkapitel

Metric Selection and Diffusion Tensor Swelling

Ofer Pasternak, Nir Sochen, Peter J. Basser

Tensor Analysis

Frontmatter

2012 | OriginalPaper | Buchkapitel

$${\mathcal{H}}^{2}$$ -Matrix Compression

Steffen Börm

2012 | OriginalPaper | Buchkapitel

Harmonic Field Analysis

Christian Wagner, Christoph Garth, Hans Hagen

Backmatter

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