Towards multifield scalar topology based on pareto optimality
作者： L. Huettenberger , C. Heine , H. Carr , G. Scheuermann , C. Garth
DOI: 10.1111/CGF.12121
关键词: Pareto principle 、 Scalar (mathematics) 、 Topology 、 Computer science 、 Critical point (mathematics) 、 Mathematical optimization
摘要: How can the notion of topological structures for single scalar fields be extended to multifields? In this paper we propose a definition such using concepts Pareto optimality and dominance. Given set piecewise-linear, functions over common simplical complex any dimension, our method finds regions "consensus" among fields' critical points their connectivity relations. We show that are useful data analysis on real-world examples originating from fluid-flow simulations; in two cases where consensus multiple vortex predictors is interest another case one predictor studied under different simulation parameters. also compare properties approach with current alternatives.
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