Visualization and processing of tensor fields
Presents information on the visualization and processing of tensor fields. This book serves as an overview for the inquiring scientist, as a basic foundation for developers and practitioners, and as a textbook for specialized classes and seminars for graduate and doctoral students.
| Other Authors: | Weickert, Joachim, 1965-, Hagen, H. 1953-, SpringerLink (Online service) |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Berlin :
Springer,
©2006.
Berlin : [2006] |
| Physical Description: |
1 online resource (xv, 481 pages) : illustrations (some color). |
| Series: |
Mathematics and visualization.
|
| Subjects: |
Table of Contents:
- 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.