Visualization and Processing of Tensor Fields [electronic resource] : Advances and Perspectives /
Laidlaw, David H.editor.
Weickert, Joachim.editor.
Tensor fields are the natural representation for many physical quantities; they can describe how water moves around in the brain, how gravity varies around the earth, or how materials are stressed and deformed. This book provides researchers a look at how to process and visualize complicated 2D and 3D images known as tensor fields.
Description based upon print version of record.
Tensor fields are the natural representation for many physical quantities; they can describe how water moves around in the brain, how gravity varies around the earth, or how materials are stressed and deformed. This book provides researchers a look at how to process and visualize complicated 2D and 3D images known as tensor fields.
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.
Computer mathematics.
Computer science
Optical data processing.
Computational Mathematics and Numerical Analysis.
Mathematics of Computing.
Computer Imaging, Vision, Pattern Recognition and Graphics.
Image Processing and Computer Vision.
Mathematics and visualization