| Description |
1 online resource (xv, 481 pages) : illustrations (some color) |
| Series |
Mathematics + visualization |
|
Mathematics and visualization.
|
| 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 |
| Summary |
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 |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
| In |
Springer e-books |
| Subject |
Calculus of tensors -- Graphic methods
|
|
Calculus of tensors -- Data processing
|
|
Visualization.
|
|
Image processing.
|
|
Electronic data processing.
|
|
Computer science.
|
|
Electronic Data Processing
|
|
Image Processing, Computer-Assisted
|
|
image processing.
|
|
data processing.
|
|
computer science.
|
|
Electronic data processing
|
|
Computer science
|
|
Calculus of tensors -- Data processing
|
|
Image processing
|
|
Visualization
|
| Genre/Form |
Statistics
|
|
Statistics.
|
|
Statistiques.
|
| Form |
Electronic book
|
| Author |
Weickert, Joachim, 1965-
|
|
Hagen, H. (Hans), 1953-
|
| LC no. |
2005931221 |
| ISBN |
9783540250326 |
|
3540250328 |
|
9783540312727 |
|
3540312722 |
|
1281349682 |
|
9781281349682 |
|
6611349685 |
|
9786611349684 |
|
