Modern imaging techniques and computational simulations yield
complex multi-valued data that require higher-order mathematical
descriptors. This book addresses topics of importance when dealing
with such data, including frameworks for image processing,
visualization and statistical analysis of higher-order descriptors.
It also provides examples of the successful use of higher-order
descriptors in specific applications and a glimpse of the next
generation of diffusion MRI. To do so, it combines contributions on
new developments, current challenges in this area and
state-of-the-art surveys. Compared to the increasing importance of
higher-order descriptors in a range of applications, tools for
analysis and processing are still relatively hard to come by. Even
though application areas such as medical imaging, fluid dynamics
and structural mechanics are very different in nature they face
many shared challenges. This book provides an interdisciplinary
perspective on this topic with contributions from key researchers
in disciplines ranging from visualization and image processing to
applications. It is based on the 5th Dagstuhl seminar on
Visualization and Processing of Higher Order Descriptors for
Multi-Valued Data. This book will appeal to scientists who are
working to develop new analysis methods in the areas of image
processing and visualization, as well as those who work with
applications that generate higher-order data or could benefit from
higher-order models and are searching for novel analytical tools.
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