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:
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245 0 0 |a Visualization and processing of tensor fields /  |c Joachim Weickert, Hans Hagen (editors). 
260 |a Berlin :  |b Springer,  |c ©2006. 
264 1 |a Berlin :  |b Springer,  |c [2006] 
264 4 |c ©2006. 
300 |a 1 online resource (xv, 481 pages) :  |b illustrations (some color). 
336 |a text  |b txt  |2 rdacontent. 
337 |a computer  |b c  |2 rdamedia. 
338 |a online resource  |b cr  |2 rdacarrier. 
347 |a text file  |b PDF  |2 rda. 
490 1 |a Mathematics + visualization. 
504 |a Includes bibliographical references and index. 
520 |a 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. 
505 0 |a 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. 
546 |a English. 
506 |a Available to OhioLINK libraries. 
650 0 |a Calculus of tensors  |x Graphic methods. 
650 0 |a Calculus of tensors  |x Data processing. 
650 0 |a Visualization. 
650 0 |a Image processing. 
650 0 |a Electronic data processing. 
650 0 |a Computer science. 
650 1 2 |a Electronic Data Processing. 
650 1 2 |a Image Processing, Computer-Assisted. 
650 6 |a Calcul tensoriel  |x Méthodes graphiques. 
650 6 |a Calcul tensoriel  |x Informatique. 
650 6 |a Visualisation. 
650 6 |a Traitement d'images. 
650 6 |a Informatique. 
650 7 |a image processing.  |2 aat. 
650 7 |a data processing.  |2 aat. 
650 7 |a computer science.  |2 aat. 
650 7 |a Electronic data processing.  |2 fast. 
650 7 |a Computer science.  |2 fast. 
650 7 |a Calculus of tensors  |x Data processing.  |2 fast. 
650 7 |a Image processing.  |2 fast. 
650 7 |a Visualization.  |2 fast. 
655 2 |a Statistics. 
655 7 |a Statistics.  |2 fast. 
655 7 |a Statistics.  |2 lcgft. 
655 7 |a Statistiques.  |2 rvmgf. 
700 1 |a Weickert, Joachim,  |d 1965-  |1 https://id.oclc.org/worldcat/entity/E39PBJckMxGHQyMvkr8vKmQDv3. 
700 1 |a Hagen, H.  |q (Hans),  |d 1953-  |1 https://id.oclc.org/worldcat/entity/E39PBJcgxwjFQGYHmJPXyv9FKd. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer e-books. 
776 0 8 |i Print version:  |t Visualization and processing of tensor fields.  |d Berlin : Springer, ©2006  |z 9783540250326  |z 3540250328  |w (DLC) 2005931221  |w (OCoLC)62701126. 
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