TY - GEN AU - Özarslan,Evren AU - Schultz,Thomas AU - Zhang,Eugene AU - Fuster,Andrea AU - Özarslan,Evren AU - Schultz,Thomas AU - Zhang,Eugene AU - Fuster,Andrea TI - Anisotropy Across Fields and Scales SN - 978-3-030-56215-1 PY - 2021/// PB - Springer Nature KW - Combinatorics & graph theory KW - bicssc KW - Algebra KW - Maths for scientists KW - Computer vision KW - Mathematical physics KW - Visualization KW - Linear and Multilinear Algebras, Matrix Theory KW - Computational Science and Engineering KW - Computer Imaging, Vision, Pattern Recognition and Graphics KW - Theoretical, Mathematical and Computational Physics KW - Data and Information Visualization KW - Linear Algebra KW - tensor KW - tensor fields KW - higher-order harmonics KW - spherical harmonics KW - image processing KW - medical imaging KW - diffusion-weighted imaging (DWI) KW - structural mechanics KW - astrophysics KW - statistics KW - open access N1 - Open Access N2 - 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 UR - https://library.oapen.org/bitstream/20.500.12657/46809/1/2021_Book_AnisotropyAcrossFieldsAndScale.pdf UR - https://directory.doabooks.org/handle/20.500.12854/63648 ER -