Modeling Analysis And Visualization Of Anisotropy
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Modeling, Analysis, and Visualization of Anisotropy
This book focuses on the modeling, processing and visualization of anisotropy, irrespective of the context in which it emerges, using state-of-the-art mathematical tools. As such, it differs substantially from conventional reference works, which are centered on a particular application. It covers the following topics: (i) the geometric structure of tensors, (ii) statistical methods for tensor field processing, (iii) challenges in mapping neural connectivity and structural mechanics, (iv) processing of uncertainty, and (v) visualizing higher-order representations. In addition to original research contributions, it provides insightful reviews. This multidisciplinary book is the sixth in a series that aims to foster scientific exchange between communities employing tensors and other higher-order representations of directionally dependent data. A significant number of the chapters were co-authored by the participants of the workshop titled Multidisciplinary Approaches to Multivalued Data: Modeling, Visualization, Analysis, which was held in Dagstuhl, Germany in April 2016. It offers a valuable resource for those working in the field of multi-directional data, vital inspirations for the development of new models, and essential analysis and visualization techniques, thus furthering the state-of-the-art in studies involving anisotropy.
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 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.
Handbook of Diffusion MR Tractography
Handbook of Tractography presents methods and applications of MR diffusion tractography, providing deep insights into the theory and implementation of existing tractography techniques and offering practical advice on how to apply diffusion tractography to research projects and clinical applications. Starting from the design of MR acquisition protocols optimized for tractography, the book follows a pipeline approach to explain the main methods behind diffusion modelling and tractography, including advanced analysis of tractography data and connectomics. An extensive section of the book is devoted to the description of tractography applications in research and clinical settings to give a complete picture of tractography practice today. By focusing on technology, models and applications, this handbook will be an indispensable reference for researchers and students with backgrounds in computer science, mathematics, physics, neuroscience and medical science. - Provides a unique reference covering the whole field of MRI diffusion tractography - Includes in-depth descriptions of the latest research and current state-of-the-art of methods available in the field of diffusion tractography - Present a step-by-step pipeline approach, from setting up MRI data acquisition to the analysis of large-scale tractography datasets