The dependent vectors operator
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 dependen...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
10 July 2019
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| In: |
Computer graphics forum
Year: 2019, Volume: 38, Issue: 3, Pages: 261-272 |
| ISSN: | 1467-8659 |
| DOI: | 10.1111/cgf.13687 |
| Online Access: | Verlag, Volltext: https://doi.org/10.1111/cgf.13687 Verlag: https://onlinelibrary.wiley.com/doi/abs/10.1111/cgf.13687 
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| Author Notes: | Lutz Hofmann and Filip Sadlo |
| Summary: | 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. |
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| Item Description: | Gesehen am 11.11.2019 |
| Physical Description: | Online Resource |
| ISSN: | 1467-8659 |
| DOI: | 10.1111/cgf.13687 |