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Visualization and Analysis of Second-Order Tensors: Moving Beyond the Symmetric Positive-Definite Case: State of the Art Report
Zuse Institute Berlin, Germany.
Zuse Institute Berlin, Germany.
Technical University Dortmund, Germany.
Zuse Institute Berlin, Germany.ORCID iD: 0000-0001-7285-0483
2013 (English)In: Computer graphics forum (Print), ISSN 0167-7055, E-ISSN 1467-8659, Vol. 32, no 1, 49-74 p.Article in journal (Refereed) Published
Abstract [en]

Tensors provide a powerful language to describe physical phenomena. Consequently, they have a long tradition in physics and appear in various application areas, either as the final result of simulations or as intermediate product. Due to their complexity, tensors are hard to interpret. This motivates the development of well-conceived visualization methods. As a sub-branch of scientific visualization, tensor field visualization has been especially pushed forward by diffusion tensor imaging. In this review, we focus on second-order tensors that are not diffusion tensors. Until now, these tensors, which might be neither positive-definite nor symmetric, are under-represented in visualization and existing visualization tools are often not appropriate for these tensors. Hence, we discuss the strengths and limitations of existing methods when dealing with such tensors as well as challenges introduced by them. The goal of this paper is to reveal the importance of the field and to encourage the development of new visualization methods for tensors from various application fields.

Place, publisher, year, edition, pages
2013. Vol. 32, no 1, 49-74 p.
National Category
Computer Science
URN: urn:nbn:se:liu:diva-127663DOI: 10.1111/j.1467-8659.2012.03231.xOAI: diva2:926353
Available from: 2016-05-06 Created: 2016-05-06 Last updated: 2016-05-12

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