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Mathematics and Visualization

Visualization and Processing of Tensor Fields

Editors: Weickert, Joachim, Hagen, Hans (Eds.)

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  • ISBN 978-3-540-25032-6
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About this book

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.

About the authors

Joachim Weickert is Full Professor of Mathematics and Computer Science at
   Saarland University (Saarbr\"ucken, Germany) where he heads the Mathematical
   Image Analysis Group. He performs research in image processing, computer
   vision and scientific computing, focusing on techniques based on partial
   differential equations and variational methods. 

   Hans Hagen is heading the research group for Computer Graphics and
   Computer Geometry at the University of Kaiserslautern, Germany, and is
   Scientific Director of the research lab Intelligent Visualization and
   Simulation at the German Research Center for Artificial Intelligence
   (DFKI). His research domains are geometric modeling and scientific
   visualization.

Reviews

"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)


Table of contents (25 chapters)

  • An Introduction to Tensors

    Hagen, Hans (et al.)

    Pages 3-13

  • Adaptive Structure Tensors and their Applications

    Brox, Thomas (et al.)

    Pages 17-47

  • On the Concept of a Local Greyvalue Distribution and the Adaptive Estimation of a Structure Tensor

    Nagel, Hans-Hellmut

    Pages 49-61

  • Low-level Feature Detection Using the Boundary Tensor

    Köthe, Ullrich

    Pages 63-79

  • An Introduction to Computational Diffusion MRI: the Diffusion Tensor and Beyond

    Alexander, Daniel C.

    Pages 83-106

Buy this book

eBook $149.00
price for USA
  • ISBN 978-3-540-31272-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-3-540-25032-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-3-642-43926-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Visualization and Processing of Tensor Fields
Editors
  • Joachim Weickert
  • Hans Hagen
Series Title
Mathematics and Visualization
Copyright
2006
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-31272-7
DOI
10.1007/3-540-31272-2
Hardcover ISBN
978-3-540-25032-6
Softcover ISBN
978-3-642-43926-1
Series ISSN
1612-3786
Edition Number
1
Number of Pages
XV, 481
Topics