Visualization and Processing of Tensor Fields

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Weickert, Joachim (Επιμελητής έκδοσης), Hagen, Hans (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Σειρά: Mathematics and Visualization,
• Θέματα: Mathematics.; Radiology.; Computer graphics.; Image processing.; Mathematical analysis.; Analysis (Mathematics).; Visualization.; Differential geometry.; Analysis.; Imaging / Radiology.; Computer Imaging, Vision, Pattern Recognition and Graphics.; Image Processing and Computer Vision.; Differential Geometry.

Matrix-valued data sets - so-called second order tensor fields - have gained significant importance in scientific visualization and image processing due to recent developments such as diffusion tensor imaging. This book is the first edited volume that presents the state-of-the-art in the visualizati...

Πίνακας περιεχομένων:

• An Introduction to Tensors
• Feature Detection with Tensors
• Adaptive Structure Tensors and their Applications
• On the Concept of a Local Greyvalue Distribution and the Adaptive Estimation of a Structure Tensor
• Low-level Feature Detection Using the Boundary Tensor
• Diffusion Tensor Imaging
• An Introduction to Computational Diffusion MRI: the Diffusion Tensor and Beyond
• Random Noise in Diffusion Tensor Imaging, its Destructive Impact and Some Corrections
• An Introduction to Visualization of Diffusion Tensor Imaging and Its Applications
• Anatomy-Based Visualizations of Diffusion Tensor Images of Brain White Matter
• Variational Regularization of Multiple Diffusion Tensor Fields
• Higher Rank Tensors in Diffusion MRI
• Visualization of Tensor Fields
• Strategies for Direct Visualization of Second-Rank Tensor Fields
• Tensor Invariants and their Gradients
• Visualizing the Topology of Symmetric, Second-Order, Time-Varying Two-Dimensional Tensor Fields
• Degenerate 3D Tensors
• Locating Closed Hyperstreamlines in Second Order Tensor Fields
• Tensor Field Visualization Using a Metric Interpretation
• Tensor Field Transformations
• Symmetric Positive-Definite Matrices: From Geometry to Applications and Visualization
• Continuous Tensor Field Approximation of Diffusion Tensor MRI data
• Tensor Field Interpolation with PDEs
• Diffusion-Tensor Image Registration
• Image Processing Methods for Tensor Fields
• Tensor Median Filtering and M-Smoothing
• Mathematical Morphology on Tensor Data Using the Loewner Ordering
• A Local Structure Measure for Anisotropic Regularization of Tensor Fields
• Tensor Field Regularization using Normalized Convolution and Markov Random Fields in a Bayesian Framework
• PDEs for Tensor Image Processing.