Visualization and Processing of Tensor Fields: Advances and Perspectives

by David H. Laidlaw (Editor), Joachim Weickert (Editor)

Overview

Part I MODELS FOR DIFFUSION MRI Modelling, Fitting and Sampling in Diffusion MRI - Daniel C Alexander Tensors, Polynomials, and Models for Directional Data - P. G. Batchelor A Mixture of Wisharts (MOW) Model for Multi-fiber Reconstruction - Bing Jian, Baba C. Vemuri, Evren ]Ozarslan The Algebra of Fourth-Order Tensors with Application to Diffusion MRI - Maher Moakher Part II HIGHER-LEVEL ANALYSIS OF DIFFUSION IMAGES Structure-Specific Statistical Mapping of White Matter Tracts - Paul A. Yushkevich, Hui Zhang, Tony J. Simon, James C. Gee Analysis of distance/similarity measures for Diffusion Tensor Imaging - T.H.J.M. Peeters, P.R. Rodrigues, A. Vilanova, B.M. ter Haar Romeny Part III TENSOR FIELD VISUALIZATION Tensor Glyph Warping - Visualizing Metric Tensor Fields using Riemannian Exponential Maps - Anders Brun, Hans Knutsson Interactive Volume Rendering of Diffusion Tensor Data - Mario Hlawitschka, Gunther H. Weber, Alfred Anwander, Owen T. Carmichael, Bernd Hamann, Gerik Scheuermann Dense Glyph Sampling for Visualization - Louis Feng, Ingrid Hotz, Bernd Hamann, Kenneth Joy Part IV TENSOR FIELD ANALYSIS IN THE PHYSICAL SCIENCES The Role of Tensor Fields for Satellite Gravity Gradiometry - Michael Schreiner 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 A Tensor Approach to Elastography Analysis and Visualization - D. Sosa-Cabrera1, M.A. Rodriguez-Florido, E. Suarez-Santana and Juan Ruiz-Alzola Part V TENSOR IMAGE STRUCTURE MODELS A Higher-Order Structure Tensor - Thomas Schultz, Joachim Weickert, Hans-Peter Seidel Monogenic Curvature Tensor as Image Model - Gerald Sommer, Lennart Wietzke and Di Zang Part VI FILTERING WITH TENSORS A General Structure TensorConcept and Coherence-Enhancing Diffusion Filtering for Matrix Fields - Bernhard Burgeth, Stephan Didas, Joachim Weickert Coordinates-based diffusion over the space of symmetric positive-definite matrices - Yaniv Gur and Nir Sochen Variational methods for denoising matrix fields - S. Setzer, G. Steidl, B. Popilka, B. Burgeth An Operator Algebraic Inverse Scale Space Method for Symmetric Matrix Valued Images - Johan Lie, Bernhard Burgeth, Oddvar Christiansen

Product Details

ISBN-13:	9783642100031
Publisher:	Springer Berlin Heidelberg
Publication date:	12/15/2010
Series:	Mathematics and Visualization
Edition description:	2009
Pages:	376
Product dimensions:	6.10(w) x 9.25(h) x 0.36(d)

Table of Contents

Models for Diffusion MRI.- Modelling, Fitting and Sampling in Diffusion MRI.- Tensors, Polynomials and Models for Directional Data.- A Mixture of Wisharts (MOW) Model for Multifiber Reconstruction.- The Algebra of Fourth-Order Tensors with Application to Diffusion MRI.- Higher-Level Analysis of Diffusion Images.- Structure-Specific Statistical Mapping of White Matter Tracts.- Analysis of Distance/Similarity Measures for Diffusion Tensor Imaging.- Tensor Field Visualization.- Tensor Glyph Warping: Visualizing Metric Tensor Fields using Riemannian Exponential Maps.- Interactive Volume Rendering of Diffusion Tensor Data.- Dense Glyph Sampling for Visualization.- Tensor Field Analysis in the Physical Sciences.- The Role of Tensor Fields for Satellite Gravity Gradiometry.- Tensor Visualization and Defect Detection for Nematic Liquid Crystals using Shape Characteristics.- A Tensor Approach to Elastography Analysis and Visualization.- Tensor Image Structure Models.- A Higher-Order Structure Tensor.- Monogenic Curvature Tensor as Image Model.- Filtering with Tensors.- A General Structure Tensor Concept and Coherence-Enhancing Diffusion Filtering for Matrix Fields.- Coordinates-Based Diffusion Over the Space of Symmetric Positive-Definite Matrices.- Variational Methods for Denoising Matrix Fields.- An Operator Algebraic Inverse Scale Space Method for Symmetric Matrix Valued Images.