Anisotropy Across Fields and Scales

This open access 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 encountere...

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Hlavní autoři: Özarslan, Evren, Schultz, Thomas, Zhang, Eugene, Fuster, Andrea
Médium: E-kniha Kniha
Jazyk:angličtina
Vydáno: Netherlands Springer Nature 2021
Springer International Publishing AG
Eindhoven University of Technology
Vydání:1
Edice:Mathematics and Visualization
Témata:
Algebra
Artificial intelligence
astrophysics
Combinatorics & graph theory
Combinatorics and graph theory
Computational Science and Engineering
Computer Imaging
Computer science
Computer vision
Computing and Information Technology
Data and Information Visualization
diffusion-weighted imaging (DWI)
higher-order harmonics
image processing
Linear Algebra
Linear and Multilinear Algebras
Mathematical and Computational Physics
Mathematical physics
Mathematics
Mathematics and Science
Maths for scientists
Matrix Theory
medical imaging
Nonfiction
open access
Pattern Recognition and Graphics
Physics
Probabilities & applied mathematics
Science
Science: general issues
spherical harmonics
statistics
structural mechanics
tensor
tensor fields
Theoretical
Vision
Visualization
image processing
spherical harmonics
open access
visualization
diffusion-weighted imaging (DWI)
higher-order harmonics
tensor fields
structural mechanics
astrophysics
tensor
medical imaging
statistics
ISBN:9783030562151, 3030562158, 303056214X, 9783030562144
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Popis
Shrnutí:This open access 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.
Bibliografie:Electronic reproduction. Dordrecht: Springer, 2021. Requires the Libby app or a modern web browser.
ISBN:9783030562151
3030562158
303056214X
9783030562144
DOI:10.1007/978-3-030-56215-1