Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data

Nonfiction, Science & Nature, Mathematics, Graphic Methods, Differential Equations
Cover of the book Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data by , Springer Berlin Heidelberg
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: ISBN: 9783642543012
Publisher: Springer Berlin Heidelberg Publication: July 17, 2014
Imprint: Springer Language: English
Author:
ISBN: 9783642543012
Publisher: Springer Berlin Heidelberg
Publication: July 17, 2014
Imprint: Springer
Language: English

Arising from the fourth Dagstuhl conference entitled Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data (2011), this book offers a broad and vivid view of current work in this emerging field. Topics covered range from applications of the analysis of tensor fields to research on their mathematical and analytical properties.

Part I, Tensor Data Visualization, surveys techniques for visualization of tensors and tensor fields in engineering, discusses the current state of the art and challenges, and examines tensor invariants and glyph design, including an overview of common glyphs.

The second Part, Representation and Processing of Higher-order Descriptors, describes a matrix representation of local phase, outlines mathematical morphological operations techniques, extended for use in vector images, and generalizes erosion to the space of diffusion weighted MRI.

Part III, Higher Order Tensors and Riemannian-Finsler Geometry, offers powerful mathematical language to model and analyze large and complex diffusion data such as High Angular Resolution Diffusion Imaging (HARDI) and Diffusion Kurtosis Imaging (DKI).

A Part entitled Tensor Signal Processing presents new methods for processing tensor-valued data, including a novel perspective on performing voxel-wise morphometry of diffusion tensor data using kernel-based approach, explores the free-water diffusion model, and reviews proposed approaches for computing fabric tensors, emphasizing trabecular bone research.

The last Part, Applications of Tensor Processing, discusses metric and curvature tensors, two of the most studied tensors in geometry processing. Also covered is a technique for diagnostic prediction of first-episode schizophrenia patients based on brain diffusion MRI data. The last chapter presents an interactive system integrating the visual analysis of diffusion MRI tractography with data from electroencephalography.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Arising from the fourth Dagstuhl conference entitled Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data (2011), this book offers a broad and vivid view of current work in this emerging field. Topics covered range from applications of the analysis of tensor fields to research on their mathematical and analytical properties.

Part I, Tensor Data Visualization, surveys techniques for visualization of tensors and tensor fields in engineering, discusses the current state of the art and challenges, and examines tensor invariants and glyph design, including an overview of common glyphs.

The second Part, Representation and Processing of Higher-order Descriptors, describes a matrix representation of local phase, outlines mathematical morphological operations techniques, extended for use in vector images, and generalizes erosion to the space of diffusion weighted MRI.

Part III, Higher Order Tensors and Riemannian-Finsler Geometry, offers powerful mathematical language to model and analyze large and complex diffusion data such as High Angular Resolution Diffusion Imaging (HARDI) and Diffusion Kurtosis Imaging (DKI).

A Part entitled Tensor Signal Processing presents new methods for processing tensor-valued data, including a novel perspective on performing voxel-wise morphometry of diffusion tensor data using kernel-based approach, explores the free-water diffusion model, and reviews proposed approaches for computing fabric tensors, emphasizing trabecular bone research.

The last Part, Applications of Tensor Processing, discusses metric and curvature tensors, two of the most studied tensors in geometry processing. Also covered is a technique for diagnostic prediction of first-episode schizophrenia patients based on brain diffusion MRI data. The last chapter presents an interactive system integrating the visual analysis of diffusion MRI tractography with data from electroencephalography.

More books from Springer Berlin Heidelberg

Cover of the book Navier-Stokes-Fourier Equations by
Cover of the book Personalmanagement by
Cover of the book The Experimental Investigation of Meaning by
Cover of the book Nuclear Hepatology by
Cover of the book Erfolgreich mit Geld und Risiko umgehen by
Cover of the book Organometallics as Catalysts in the Fine Chemical Industry by
Cover of the book Fundamentals of Time-Dependent Density Functional Theory by
Cover of the book Detoxification of Heavy Metals by
Cover of the book Blastocystis: Pathogen or Passenger? by
Cover of the book The German Prosecution Service by
Cover of the book Public-Key Cryptography – PKC 2016 by
Cover of the book Histopathology of the Endometrium by
Cover of the book A Legal Guide to United States Business Organizations by
Cover of the book Total Synthesis of (±)-Maoecrystal V by
Cover of the book Planung, Anlage und Betrieb von Flugplätzen by
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy