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Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data (Paperback, Softcover reprint of the original 1st ed. 2014) Loot Price: R5,606
Discovery Miles 56 060
Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data (Paperback, Softcover reprint of the...

Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data (Paperback, Softcover reprint of the original 1st ed. 2014)

Carl-Fredrik Westin, Anna Vilanova, Bernhard Burgeth

Series: Mathematics and Visualization

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Loot Price R5,606 Discovery Miles 56 060 | Repayment Terms: R525 pm x 12*

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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.

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Mathematics and Visualization
Release date: August 2016
First published: 2014
Editors: Carl-Fredrik Westin • Anna Vilanova • Bernhard Burgeth
Dimensions: 235 x 155 x 19mm (L x W x T)
Format: Paperback
Pages: 343
Edition: Softcover reprint of the original 1st ed. 2014
ISBN-13: 978-3-662-51257-9
Categories: Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
Books > Science & Mathematics > Physics > General
Books > Computing & IT > Computer programming > General
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
Books > Science & Mathematics > Mathematics > Applied mathematics > General
Books > Computing & IT > Applications of computing > Artificial intelligence > Computer vision
Books > Computing & IT > Applications of computing > Image processing > General
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LSN: 3-662-51257-2
Barcode: 9783662512579

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