Anisotropy Across Fields and Scales

• Other Authors: Özarslan, Evren (Editor), Schultz, Thomas (Editor), Zhang, Eugene (Editor), Fuster, Andrea (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: Springer Nature 2021
• Series: Mathematics and Visualization
• Subjects: Combinatorics & graph theory; Algebra; Maths for scientists; Computer vision; Mathematical physics; 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
• Online Access: OAPEN Library: download the publication; OAPEN Library: description of the publication

Summary

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.

Physical Description

1 electronic resource (280 p.)

ISBN

978-3-030-56215-1

Access

Open Access