Visualization of 4D vector field topology

• Verfasst von: Hofmann, Lutz [VerfasserIn]
• Verfasst von: Rieck, Bastian [VerfasserIn]
• Verfasst von: Sadlo, Filip [VerfasserIn]
• Titel: Visualization of 4D vector field topology
• Verf.angabe: Lutz Hofmann, Bastian Rieck, and Filip Sadlo, Heidelberg University, Germany
• E-Jahr: 2018
• Jahr: 10 July 2018
• Umfang: 13 S.
• Teil: volume:37
• Teil: year:2018
• Teil: number:3
• Teil: pages:301-313
• Teil: extent:13
• Fussnoten: Gesehen am 03.03.2020
• Titel Quelle: Enthalten in: Computer graphics forum
• Ort Quelle: Oxford : Wiley-Blackwell, 1982
• Jahr Quelle: 2018
• Band/Heft Quelle: 37(2018), 3, Seite 301-313
• ISSN Quelle: 1467-8659
• DOI: doi:10.1111/cgf.13421
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: •Applied computing → Mathematics and statistics
• Sach-SW: •Human-centered computing → Visualization techniques
• Sach-SW: CCS Concepts
• K10plus-PPN: 1691419877

Abstract

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.