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Anisotropy Across Fields and Scales 1st ed. 2021 [Kõva köide]

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  • Formaat: Hardback, 280 pages, kõrgus x laius: 235x155 mm, kaal: 606 g, 91 Illustrations, color; 18 Illustrations, black and white; X, 280 p. 109 illus., 91 illus. in color., 1 Hardback
  • Sari: Mathematics and Visualization
  • Ilmumisaeg: 11-Feb-2021
  • Kirjastus: Springer Nature Switzerland AG
  • ISBN-10: 303056214X
  • ISBN-13: 9783030562144
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  • Formaat: Hardback, 280 pages, kõrgus x laius: 235x155 mm, kaal: 606 g, 91 Illustrations, color; 18 Illustrations, black and white; X, 280 p. 109 illus., 91 illus. in color., 1 Hardback
  • Sari: Mathematics and Visualization
  • Ilmumisaeg: 11-Feb-2021
  • Kirjastus: Springer Nature Switzerland AG
  • ISBN-10: 303056214X
  • ISBN-13: 9783030562144

This book focuses on processing, modeling, and visualization of anisotropy information, which are often addressed by employing sophisticated mathematical constructs such as tensors and other higher-order descriptors. It also discusses adaptations of such constructs to problems encountered in seemingly dissimilar areas of medical imaging, physical sciences, and engineering. Featuring original research contributions as well as insightful reviews for scientists interested in handling anisotropy information, it covers topics such as pertinent geometric and algebraic properties of tensors and tensor fields, challenges faced in processing and visualizing different types of data, statistical techniques for data processing, and specific applications like mapping white-matter fiber tracts in the brain.

The book helps readers grasp the current challenges in the field and provides information on the techniques devised to address them. Further, it facilitates the transfer of knowledge between different disciplines in order to advance the research frontiers in these areas.

This multidisciplinary book presents, in part, the outcomes of the seventh in a series of Dagstuhl seminars devoted to visualization and processing of tensor fields and higher-order descriptors, which was held in Dagstuhl, Germany, on October 28–November 2, 2018.



Tensor approximation for multidimensional and multivariate data.- Tensor
field topology without symmetrization using Hermitian tensors.- Continuous
histograms for Anisotropy of 2D symmetric piece-wise linear tensor
fields.- Riemann-DTI geodesic tractography revisited.- Fourth-order
anisotropic diffusion for inpainting and image compression.- Advanced deep
learning for processing orientation-dependent diffusion magnetic resonance
imaging data - A review.- On the variance measure of diffusion tensors in two
dimensions.- Magnetic resonance assessment of effective confinement
anisotropy with powder-averaged single and double diffusion encoding.- Merge
trees, neutral surfaces, and tensor field topology.- Asymmetric tensor
analysis.- Anisotropy issues in shape-based object analysis.- Tractogram
filtering.- Multispectral image processing in astronomy.- Anisotropy in the
human placenta in pregnancies complicated by fetal growth restriction.- The
case for spatially homogeneous models in high gradient strength
diffusion-weighted MRI: A position paper on the potential applicability of
stochastic geometry.