Tensor field visualization using fiber surfaces of invariant space

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

Beitragende

  • Felix Raith - , Universität Leipzig (Autor:in)
  • Christian Blecha - , Universität Leipzig (Autor:in)
  • Thomas Nagel - , Helmholtz-Zentrum für Umweltforschung (UFZ) (Autor:in)
  • Francesco Parisio - , Helmholtz-Zentrum für Umweltforschung (UFZ) (Autor:in)
  • Olaf Kolditz - , Helmholtz-Zentrum für Umweltforschung (UFZ) (Autor:in)
  • Fabian Günther - , Technische Universität (TU) Dortmund (Autor:in)
  • Markus Stommel - , Technische Universität (TU) Dortmund (Autor:in)
  • Gerik Scheuermann - , Universität Leipzig (Autor:in)

Abstract

Scientific visualization developed successful methods for scalar and vector fields. For tensor fields, however, effective, interactive visualizations are still missing despite progress over the last decades. We present a general approach for the generation of separating surfaces in symmetric, second-order, three-dimensional tensor fields. These surfaces are defined as fiber surfaces of the invariant space, i.e. as pre-images of surfaces in the range of a complete set of invariants. This approach leads to a generalization of the fiber surface algorithm by Klacansky et al. [16] to three dimensions in the range. This is due to the fact that the invariant space is three-dimensional for symmetric second-order tensors over a spatial domain. We present an algorithm for surface construction for simplicial grids in the domain and simplicial surfaces in the invariant space. We demonstrate our approach by applying it to stress fields from component design in mechanical engineering.

Details

OriginalspracheEnglisch
Aufsatznummer8447439
Seiten (von - bis)1122-1131
Seitenumfang10
FachzeitschriftIEEE transactions on visualization and computer graphics
Jahrgang25
Ausgabenummer1
PublikationsstatusVeröffentlicht - Jan. 2019
Peer-Review-StatusJa
Extern publiziertJa

Externe IDs

ORCID /0000-0002-0406-5800/work/172570359

Schlagworte

Schlagwörter

  • Fiber surface, Interaction, Invariants, Tensor field, Visualization