Anisotropy Across Fields and Scales

Přispěvatelé: Özarslan, Evren, Schultz, Thomas, Zhang, Eugene, Fuster, Andrea
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Visualization
Linear and Multilinear Algebras
Matrix Theory

Computational Science and Engineering
Computer Imaging
Vision
Pattern Recognition and Graphics

Theoretical
Mathematical and Computational Physics

Data and Information Visualization
Linear Algebra
tensor
tensor fields
higher-order harmonics
spherical harmonics
image processing
medical imaging
diffusion-weighted imaging (DWI)
structural mechanics
astrophysics
statistics
open access
Combinatorics & graph theory
Algebra
Maths for scientists
Computer vision
Mathematical physics
bic Book Industry Communication::P Mathematics & science::PB Mathematics::PBV Combinatorics & graph theory
bic Book Industry Communication::P Mathematics & science::PB Mathematics::PBF Algebra
bic Book Industry Communication::P Mathematics & science::PD Science: general issues::PDE Maths for scientists
bic Book Industry Communication::U Computing & information technology::UY Computer science::UYQ Artificial intelligence::UYQV Computer vision
bic Book Industry Communication::P Mathematics & science::PH Physics::PHU Mathematical physics
Druh dokumentu: book
DOI: 10.1007/978-3-030-56215-1
Popis: 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.
Databáze: OAPEN Library