The dependent vectors operator

• Verfasst von: Hofmann, Lutz [VerfasserIn]
• Verfasst von: Sadlo, Filip [VerfasserIn]
• Titel: The dependent vectors operator
• Verf.angabe: Lutz Hofmann and Filip Sadlo
• E-Jahr: 2019
• Jahr: 10 July 2019
• Umfang: 12 S.
• Teil: volume:38
• Teil: year:2019
• Teil: number:3
• Teil: pages:261-272
• Teil: extent:12
• Fussnoten: Gesehen am 11.11.2019
• Titel Quelle: Enthalten in: Computer graphics forum
• Ort Quelle: Oxford : Wiley-Blackwell, 1982
• Jahr Quelle: 2019
• Band/Heft Quelle: 38(2019), 3, Seite 261-272
• ISSN Quelle: 1467-8659
• DOI: doi:10.1111/cgf.13687
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: Applied computing
• Sach-SW: Mathematics and statistics
• Sach-SW: Human-centered computing
• Sach-SW: Visualization techniques
• Sach-SW: CCS Concepts
• K10plus-PPN: 168155996X

Abstract

In this paper, we generalize the parallel vectors operator due to Peikert and Roth to arbitrary dimension, i.e., to four-dimensional fields and beyond. Whereas the original operator tested for parallelism of two (derived) 2D or 3D vector fields, we reformulate the concept in terms of linear dependency of sets of vector fields, and propose a generic technique to extract and filter the solution manifolds. We exemplify our approach for vortex cores, bifurcations, and ridges as well as valleys in higher dimensions.