Visualization and Processing of Tensor Fields

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Weickert, Joachim (Editor ), Hagen, Hans (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:Mathematics and Visualization,
Temas:
Mathematical analysis.
Information visualization.
Radiology.
Image processing-Digital techniques.
Computer vision.
Geometry, Differential.
Analysis.
Data and Information Visualization.
Computer Imaging, Vision, Pattern Recognition and Graphics.
Computer Vision.
Differential Geometry.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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