Mathematics and Visualization

New Developments in the Visualization and Processing of Tensor Fields

Editors: Laidlaw, David H., Vilanova, Anna (Eds.)

  • Many color illustrations
  • Blends visual and analytical understanding of the issues
  • Provides a perspective on a relatively new research area and its open problems
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  • ISBN 978-3-642-27343-8
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About this book

Bringing together key researchers in disciplines ranging from visualization and image processing to applications in structural mechanics, fluid dynamics, elastography, and numerical mathematics, the workshop that generated this edited volume was the third in the successful Dagstuhl series. Its aim, reflected in the quality and relevance of the papers presented, was to foster collaboration and fresh lines of inquiry in the analysis and visualization of tensor fields, which offer a concise model for numerous physical phenomena. Despite their utility, there remains a dearth of methods for studying all but the simplest ones, a shortage the workshops aim to address.

 

Documenting the latest progress and open research questions in tensor field analysis, the chapters reflect the excitement and inspiration generated  by this latest Dagstuhl workshop, held in July 2009. The topics they address range from applications of the analysis of tensor fields to purer research into their mathematical and analytical properties. They show how cooperation and the sharing of ideas and data between those engaged in pure and applied research can open new vistas in the study of tensor fields.

Table of contents (19 chapters)

  • Structure Tensor Estimation: Introducing Monomial Quadrature Filter Sets

    Knutsson, Hans (et al.)

    Pages 3-28

  • Adaptation of Tensor Voting to Image Structure Estimation

    Moreno, Rodrigo (et al.)

    Pages 29-50

  • Edge-Enhancing Diffusion Filtering for Matrix Fields

    Burgeth, Bernhard (et al.)

    Pages 51-67

  • Fabric-Like Visualization of Tensor Field Data on Arbitrary Surfaces in Image Space

    Eichelbaum, Sebastian (et al.)

    Pages 71-92

  • Beyond Topology: A Lagrangian Metaphor to Visualize the Structure of 3D Tensor Fields

    Tricoche, Xavier (et al.)

    Pages 93-109

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-3-642-27343-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-3-642-27342-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
New Developments in the Visualization and Processing of Tensor Fields
Editors
  • David H. Laidlaw
  • Anna Vilanova
Series Title
Mathematics and Visualization
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-27343-8
DOI
10.1007/978-3-642-27343-8
Hardcover ISBN
978-3-642-27342-1
Series ISSN
1612-3786
Edition Number
1
Number of Pages
XXI, 384
Number of Illustrations and Tables
24 b/w illustrations, 129 illustrations in colour
Topics