The Dependent Vectors Operator. (10th July 2019)

• Record Type: Journal Article
• Authors: Hofmann, Lutz; Sadlo, Filip
• Is Part Of: Computer graphics forum. Volume 38:Number 3(2019)
• Page Start: 261
• Page End: 272
• Publication Date: 2019-07-10
• Subjects: CCS Concepts -- Human‐centered computing → Visualization techniques; Applied computing → Mathematics and statistics; Computer graphics -- Periodicals; 006.605
• DOI: 10.1111/cgf.13687
• Languages: English
• ISSNs: 0167-7055

Abstract

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.