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Titlebook: Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data; Carl-Fredrik Westin,Anna Vilanova,Bernhard Bur

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書目名稱Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data
編輯Carl-Fredrik Westin,Anna Vilanova,Bernhard Burgeth
視頻videohttp://file.papertrans.cn/984/983847/983847.mp4
概述Discusses challenges in both theoretical and practical issues related to analyzing and visualizing fields of tensors and higher order descriptors.Provides examples of tensors as applied to research in
叢書名稱Mathematics and Visualization
圖書封面Titlebook: Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data;  Carl-Fredrik Westin,Anna Vilanova,Bernhard Bur
描述.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 Process
出版日期Conference proceedings 2014
關鍵詞Diffusion tensor imaging (DT-MRI); High angular resolution diffusion imaging (HARDI); Higher-order des
版次1
doihttps://doi.org/10.1007/978-3-642-54301-2
isbn_softcover978-3-662-51257-9
isbn_ebook978-3-642-54301-2Series ISSN 1612-3786 Series E-ISSN 2197-666X
issn_series 1612-3786
copyrightSpringer-Verlag Berlin Heidelberg 2014
The information of publication is updating

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Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data978-3-642-54301-2Series ISSN 1612-3786 Series E-ISSN 2197-666X
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Sharpening Fibers in Diffusion Weighted MRI via Erosion HJB equations: analytical kernels, and finite differences. Proof of concept is given by showing improved visibility of major fiber bundles in both artificial and human data. Furthermore, the method is shown to significantly improve the output of a probabilistic tractography algorithm used to extract the optic radiation.
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