The Dependent Vectors Operator

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Date
2019
Authors
Hofmann, Lutz
Sadlo, Filip
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and John Wiley & Sons Ltd.
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.
Description

        
@article{
10.1111:cgf.13687
,
journal = {Computer Graphics Forum},
title = {{
The Dependent Vectors Operator
}},
author = {
Hofmann, Lutz
 and 
Sadlo, Filip
},
year = {
2019
},
publisher = {
The Eurographics Association and John Wiley & Sons Ltd.
},
ISSN = {
1467-8659
},
DOI = {
10.1111/cgf.13687
}
}
Citation
URI
https://doi.org/10.1111/cgf.13687
 https://diglib.eg.org:443/handle/10.1111/cgf13687
Collections
38-Issue 3