Visualization and Processing of Tensor Fields

Başlık

:
Visualization and Processing of Tensor Fields

ISBNp

:
9783540312727

Dil

:
English

Standart Tanımlama

:
10.1007/3-540-31272-2

Yayın Bilgileri

:
Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.

Fiziksel Tanımlama

:
XV, 481 p. online resource.

Seri

:
Mathematics and Visualization,

İçerik

:
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.

Özet

:
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 visualization and processing of tensor fields. It contains some longer chapters dedicated to surveys and tutorials of specific topics, as well as a great deal of original work by leading experts that has not been published before. It serves as an overview for the inquiring scientist, as a basic foundation for developers and practitioners, and as as a textbook for specialized classes and seminars for graduate and doctoral students.

Konu Başlığı

:
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.

Ek Yazar

:
Weickert, Joachim.

Hagen, Hans.

Ek Kurum Yazarı

:
SpringerLink (Online service)

Elektronik Erişim

:
Materyal Türü | Demirbaş Numarası | Yer Numarası | Raf Konumu | Mevcut Konumu |
---|---|---|---|---|

E-Kitap | 1818840-1001 | QA299.6 -433 | SPRINGER E-Kitap Koleksiyonu | Springer E-Kitap Koleksiyonu |