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

種類:

電子ブック

責任表示:

edited by Carl-Fredrik Westin, Anna Vilanova, Bernhard Burgeth

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014

著者名:

• Westin, Carl-Fredrik
• Vilanova, Anna
• Burgeth, Bernhard
• SpringerLink (Online service)

シリーズ名:

Mathematics and Visualization ;

ISBN:

9783642543012 [3642543014]    

注記:

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

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