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  • Conference proceedings
  • © 2017

Modeling, Analysis, and Visualization of Anisotropy

  • Includes works performed in very different areas as long as they are consistent with the central theme of the book
  • Will help to enable transfer of knowledge between different disciplines potentially leading to significant advances
  • Will bridge the gap between application-oriented and theoretical studies
  • Great resources for junior scientists and those who would like to have an up-to-date information on the ongoing developments

Part of the book series: Mathematics and Visualization (MATHVISUAL)

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Table of contents (17 papers)

  1. Front Matter

    Pages i-x
  2. Features and Visualization

    1. Front Matter

      Pages 1-1
    2. Robustness for 2D Symmetric Tensor Field Topology

      • Bei Wang, Ingrid Hotz
      Pages 3-27
    3. Applying 2D Tensor Field Topology to Solid Mechanics Simulations

      • Yue Zhang, Xiaofei Gao, Eugene Zhang
      Pages 29-41
    4. Moment Invariants for Multi-Dimensional Data

      • Roxana Bujack, Hans Hagen
      Pages 43-64
    5. Visualizing Gradients of Stress Tensor Fields

      • Valentin Zobel, Markus Stommel, Gerik Scheuermann
      Pages 65-81
  3. Image Processing and Analysis

    1. Front Matter

      Pages 83-83
    2. Towards Processing Fields of General Real-Valued Square Matrices

      • Bernhard Burgeth, Andreas Kleefeld
      Pages 115-144
    3. Towards Grey Scale-Based Tensor Voting for Blood Vessel Analysis

      • Daniel Jörgens, Rodrigo Moreno
      Pages 145-173
  4. Diffusion Modeling and Microstructure

    1. Front Matter

      Pages 201-201
    2. Diffusion MRI Anisotropy: Modeling, Analysis and Interpretation

      • Rutger H. J. Fick, Marco Pizzolato, Demian Wassermann, Rachid Deriche
      Pages 203-228
    3. Measuring Microscopic Anisotropy with Diffusion Magnetic Resonance: From Material Science to Biomedical Imaging

      • Andrada Ianuş, Noam Shemesh, Daniel C. Alexander, Ivana Drobnjak
      Pages 229-255
    4. Bayesian Heteroscedastic Regression for Diffusion Tensor Imaging

      • Bertil Wegmann, Anders Eklund, Mattias Villani
      Pages 257-282
    5. Multi-Fiber Reconstruction Using Probabilistic Mixture Models for Diffusion MRI Examinations of the Brain

      • Snehlata Shakya, Nazre Batool, Evren Özarslan, Hans Knutsson
      Pages 283-308
  5. Tractography

    1. Front Matter

      Pages 309-309
    2. Edge Detection in Diffusion Weighted MRI Using a Tangent Curve Similarity Metric

      • Zi’Ang Ding, Xavier Tricoche, Yaniv Gur
      Pages 311-330
    3. Repeated Tractography of a Single Subject: How High Is the Variance?

      • Xuan Gu, Anders Eklund, Hans Knutsson
      Pages 331-354
    4. Automatic Atlas-Based Segmentation of Brain White Matter in Neonates at Risk for Neurodevelopmental Disorders

      • L. Fonseca, C. van Pul, N. Lori, R. van den Boom, P. Andriessen, J. Buijs et al.
      Pages 355-372

About this book

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 MultivaluedData: 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.

Editors and Affiliations

  • Institute of Computer Science, University of Bonn, Bonn, Germany

    Thomas Schultz

  • Department of Biomedical Engineering (IMT), Linköping University, Linköping, Sweden

    Evren Özarslan

  • Department of Science & Technology, Linköping University, Norrköping, Sweden

    Ingrid Hotz

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access