000 05652nam a22005775i 4500
001 vtls000545042
003 RU-ToGU
005 20210922083202.0
007 cr nn 008mamaa
008 160915s2014 gw | s |||| 0|eng d
020 _a9783642543012
_9978-3-642-54301-2
024 7 _a10.1007/978-3-642-54301-2
_2doi
035 _ato000545042
040 _aSpringer
_cSpringer
_dRU-ToGU
050 4 _aQA76.9.I52
072 7 _aPBV
_2bicssc
072 7 _aMAT013000
_2bisacsh
082 0 4 _a004
_223
245 1 0 _aVisualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data
_helectronic resource
_cedited by Carl-Fredrik Westin, Anna Vilanova, Bernhard Burgeth.
260 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2014.
300 _aXV, 343 p. 110 illus., 85 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aMathematics and Visualization,
_x1612-3786
505 0 _aPart I: Tensor Data Visualization: Top Challenges in the Visualization of Engineering Tensor Fields: M Hlawitschka et al -- Tensor Invariants and Glyph Design: A. Kratz et al -- Part II: Representation and Processing of Higher-order Descriptors: Monomial Phase: A Matrix Representation of Local Phase: H. Knutsson et al -- Order Based Morphology for Colour Images via Matrix Fields: B. Burgeth et al -- Sharpening Fibers in Diffusion Weighted MRI via Erosion: T.C.J. Dela Haije et al -- Part III:   Higher Order Tensors and Riemannian-Finsler Geometry: Higher-Order Tensors in Diffusion Imaging: Thomas Schultz et al -- 4th Order Symmetric Tensors and Positive ADC Modelling: A. Ghosh et al -- Riemann-Finsler Geometry for Diffusion Weighted Magnetic Resonance Imaging: L.Florack et al -- Riemann-Finsler Multi-Valued Geodesic Tractography for HARDI: N.Sepasian et al -- Part IV: Tensor Signal Processing: Kernel-based Morphometry of Diffusion Tensor Images: M. Ingalhalikar et al -- The Estimation of Free-Water Corrected Diffusion Tensors: O. Pasternak et al -- Techniques for Computing Fabric Tensors: A Review: R. Moreno et al -- Part V: Applications of tensor processing: Tensors in Geometry Processing: E. Zhang -- Preliminary findings in diagnostic prediction of schizophrenia using diffusion tensor imaging: Y.Rathi et al -- A System for Combined Visualization of EEG and Diffusion Tensor Imaging Tractography Data: A. Wiebel et al.
520 _aArising 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.
650 0 _amathematics.
_9566183
650 0 _aComputer vision.
_9274100
650 0 _aComputer graphics.
_9281357
650 0 _aDifferential equations, partial.
_9303599
650 0 _aVisualization.
_9303600
650 0 _aGlobal differential geometry.
_9566343
650 1 4 _aMathematics.
_9566184
650 2 4 _aVisualization.
_9303600
650 2 4 _aPartial Differential Equations.
_9303602
650 2 4 _aDifferential Geometry.
_9566344
650 2 4 _aComputer Imaging, Vision, Pattern Recognition and Graphics.
_9274101
650 2 4 _aComputer Graphics.
_9281357
650 2 4 _aTheoretical, Mathematical and Computational Physics.
_9410498
700 1 _aWestin, Carl-Fredrik.
_eeditor.
_9412371
700 1 _aVilanova, Anna.
_eeditor.
_9452994
700 1 _aBurgeth, Bernhard.
_eeditor.
_9452995
710 2 _aSpringerLink (Online service)
_9143950
773 0 _tSpringer eBooks
830 0 _aMathematics and Visualization,
_9318738
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-54301-2
912 _aZDB-2-SMA
999 _c402748