Overview

Visualisation and Processing of Tensor Fields provides researchers an inspirational look at how to process and visualize complicated 2D and 3D images known as tensor fields. Tensor fields are the natural representation for many physical quantities; they can describe how water moves around in the brain, how gravity varies arount the earth, or how materials are stressed and deformed. With its numerous color figures, this book helps the reader understand both the underlying mathematics and the applications of tensor fields.

Full Product Details

Author:   David H. Laidlaw ,  Joachim Weickert
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1st ed. Softcover of orig. ed. 2009
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.50cm
Weight:   0.605kg
ISBN:  

9783642100031

ISBN 10:   3642100031
Pages:   376
Publication Date:   22 October 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD  
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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.

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