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Local bilinear comp...
Local bilinear computation of Jacobi sets
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- Klötzl, Daniel (författare)
- Univ Stuttgart VISUS, Germany
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- Krake, Tim (författare)
- Univ Stuttgart VISUS, Germany
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- Zhou, Youjia (författare)
- Univ Utah SCI, UT USA
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- Hotz, Ingrid, Professor, 1967- (författare)
- Linköpings universitet,Medie- och Informationsteknik,Tekniska fakulteten
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- Wang, Bei (författare)
- Univ Utah SCI, UT USA
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- Weiskopf, Daniel (författare)
- Univ Stuttgart VISUS, Germany
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(creator_code:org_t)
- 2022-06-30
- 2022
- Engelska.
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Ingår i: The Visual Computer. - : Springer. - 0178-2789 .- 1432-2315. ; 38, s. 3435-3448
- Relaterad länk:
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https://liu.diva-por... (primary) (Raw object)
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We propose a novel method for the computation of Jacobi sets in 2D domains. The Jacobi set is a topological descriptor based on Morse theory that captures gradient alignments among multiple scalar fields, which is useful for multi-field visualization. Previous Jacobi set computations use piecewise linear approximations on triangulations that result in discretization artifacts like zig-zag patterns. In this paper, we utilize a local bilinear method to obtain a more precise approximation of Jacobi sets by preserving the topology and improving the geometry. Consequently, zig-zag patterns on edges are avoided, resulting in a smoother Jacobi set representation. Our experiments show a better convergence with increasing resolution compared to the piecewise linear method. We utilize this advantage with an efficient local subdivision scheme. Finally, our approach is evaluated qualitatively and quantitatively in comparison with previous methods for different mesh resolutions and across a number of synthetic and real-world examples.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Annan teknik -- Mediateknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Other Engineering and Technologies -- Media Engineering (hsv//eng)
Nyckelord
- Jacobi set; Topological data analysis; Multi-fields; Visualization techniques
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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