Huettenberger, L, Heine, C, Carr, H et al. (2 more authors) (2013) Towards multifield scalar topology based on pareto optimality. Computer Graphics Forum, 32 (3 Pt 3). 341 - 350. ISSN 0167-7055
Abstract
How can the notion of topological structures for single scalar fields be extended to multifields? In this paper we propose a definition for such structures using the concepts of Pareto optimality and Pareto dominance. Given a set of piecewise-linear, scalar functions over a common simplical complex of any dimension, our method finds regions of "consensus" among single fields' critical points and their connectivity relations. We show that our concepts are useful to data analysis on real-world examples originating from fluid-flow simulations; in two cases where the consensus of multiple scalar vortex predictors is of interest and in another case where one predictor is studied under different simulation parameters. We also compare the properties of our approach with current alternatives.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Keywords: | Computer graphics; computational geometry and object modeling; geometric algorithms, languages, and systems |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) > Institute for Computational and Systems Science (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 30 Jun 2014 10:57 |
Last Modified: | 21 Apr 2015 22:54 |
Published Version: | http://dx.doi.org/10.1111/cgf.12121 |
Status: | Published |
Publisher: | Wiley |
Identification Number: | 10.1111/cgf.12121 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:79280 |