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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.
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