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Visualization and Processing of Tensor Fields (Mathematics and Visualization)
 
 
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Visualization and Processing of Tensor Fields (Mathematics and Visualization) [Hardcover]

Joachim Weickert (Editor), Hans Hagen (Editor)

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Book Description

3540250328 978-3540250326 December 21, 2005 1
Matrix-valued data sets – so-called second order tensor fields – have gained significant importance in scientific visualization and image processing due to recent developments such as diffusion tensor imaging. This book is the first edited volume that presents the state of the art in the visualization and processing of tensor fields. It contains some longer chapters dedicated to surveys and tutorials of specific topics, as well as a great deal of original work by leading experts that has not been published before. It serves as an overview for the inquiring scientist, as a basic foundation for developers and practitioners, and as as a textbook for specialized classes and seminars for graduate and doctoral students.

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Editorial Reviews

Review

"This timely Springer monograph collects a total of 25 survey and research articles on the analysis, processing, and visualization of tensor fields, an area with increasing impact and visibility in contemporary imaging and medical image analysis.

Compared with many existing volumes of similar styles or missions, this collection has been carefully edited to yield a smooth and continuous flow of topics and techniques. The categorization into five self-contained parts has been enormously helpful for a generic reader to attain an organic view of the entire dynamic field.

This volume will be an invaluable research tool or information source for all readers who are interested in tensor processing and visualization, including, e.g., image processing experts, graphic and visualization engineers, medical imaging scientists, and radiologists, as well as graduate students who are pursuing a degree in the related research subjects."  (Jianhong Shen, Mathematical Reviews)

From the Back Cover

Matrix-valued data sets - so-called second order tensor fields -
have gained significant importance in scientific visualization and
image processing due to recent developments such as diffusion tensor
imaging. This book is the first edited volume that presents the
state-of-the-art in the visualization and processing of tensor fields.
It contains some longer chapters dedicated to surveys and tutorials of
specific topics, as well as a great deal of original work by leading
experts that has not been published before. It serves as an overview
for the inquiring scientist, as a basic foundation for developers and
practitioners, and as as a textbook for specialized classes and seminars
for graduate and doctoral students.

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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
point load data, tensor cones, robust structure tensor, generalized diffusion tensor imaging, greyvalue distribution, isotropy artifacts, gray matter labels, superquadric tensor glyphs, nonlinear structure tensor, boundary tensor, isotropic nonlinear diffusion, apparent diffusion tensors, greyvalue structure, metric ellipsoids, eigenvector field, high angular resolution diffusion imaging, tensor field visualization, local structure tensor, degenerate tensors, anisotropy indices, diffusion tensor field, tensor data, optic flow estimation, diffusion tensor images, geodesic interpolation
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Lecture Notes, New York, Pattern Recognition, Academic Press, Computer Society Press, Saarland University, Inverse Problems, Berlin Heidelberg, International Symposium, Monte Carlo, University of California, Computer Society Conference, Delta Method, Introduction Diffusion, San Diego, Springer Verlag, Tel-Aviv University, University of Florida, Biophysical Journal, Brain Warping, Gerik Scheuermann, Laplacian of Gaussian, Maxima Medical Center, Numerical Recipes, Proceedings of the Visualization
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