Visualization of 4D vector field topology
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...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
10 July 2018
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| In: |
Computer graphics forum
Year: 2018, Volume: 37, Issue: 3, Pages: 301-313 |
| ISSN: | 1467-8659 |
| DOI: | 10.1111/cgf.13421 |
| Online Access: | Verlag, Volltext: https://doi.org/10.1111/cgf.13421 Verlag, Volltext: https://onlinelibrary.wiley.com/doi/abs/10.1111/cgf.13421 
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| Author Notes: | Lutz Hofmann, Bastian Rieck, and Filip Sadlo, Heidelberg University, Germany |
| Summary: | 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. |
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| Item Description: | Gesehen am 03.03.2020 |
| Physical Description: | Online Resource |
| ISSN: | 1467-8659 |
| DOI: | 10.1111/cgf.13421 |