• Medientyp: E-Artikel
  • Titel: Visualization of 4D Vector Field Topology
  • Beteiligte: Hofmann, Lutz; Rieck, Bastian; Sadlo, Filip
  • Erschienen: Wiley, 2018
  • Erschienen in: Computer Graphics Forum
  • Sprache: Englisch
  • DOI: 10.1111/cgf.13421
  • ISSN: 0167-7055; 1467-8659
  • Schlagwörter: Computer Graphics and Computer-Aided Design
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  • Beschreibung: <jats:title>Abstract</jats:title><jats:p>In this paper, we present an approach to the topological analysis of four‐dimensional vector fields. In analogy to traditional 2D and 3D vector field topology, we provide a classification and visual representation of critical points, together with a technique for extracting their invariant manifolds. For effective exploration of the resulting four‐dimensional structures, we present a 4D camera that provides concise representation by exploiting projection degeneracies, and a 4D clipping approach that avoids self‐intersection in the 3D projection. We exemplify the properties and the utility of our approach using specific synthetic cases.</jats:p>