Hierarchical morse complexes for piecewise linear 2-manifolds
SCG '01 Proceedings of the seventeenth annual symposium on Computational geometry
Proceedings of the conference on Visualization '01
Barrier Trees on Poset-Valued Landscapes
Genetic Programming and Evolvable Machines
Path seeds and flexible isosurfaces using topology for exploratory visualization
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
Morse-smale complexes for piecewise linear 3-manifolds
Proceedings of the nineteenth annual symposium on Computational geometry
Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries
Journal of Computational Physics
Visualization Handbook
Multi-variate, Time Varying, and Comparative Visualization with Contextual Cues
IEEE Transactions on Visualization and Computer Graphics
Multifield-Graphs: An Approach to Visualizing Correlations in Multifield Scalar Data
IEEE Transactions on Visualization and Computer Graphics
Topology-Controlled Volume Rendering
IEEE Transactions on Visualization and Computer Graphics
Computational Geometry: Algorithms and Applications
Computational Geometry: Algorithms and Applications
Handbook of Data Visualization (Springer Handbooks of Computational Statistics)
Handbook of Data Visualization (Springer Handbooks of Computational Statistics)
Reeb spaces of piecewise linear mappings
Proceedings of the twenty-fourth annual symposium on Computational geometry
Time-varying Reeb graphs for continuous space--time data
Computational Geometry: Theory and Applications
Brushing of Attribute Clouds for the Visualization of Multivariate Data
IEEE Transactions on Visualization and Computer Graphics
IEEE Transactions on Visualization and Computer Graphics
Curve-Centric Volume Reformation for Comparative Visualization
IEEE Transactions on Visualization and Computer Graphics
IEEE Transactions on Visualization and Computer Graphics
Simple and optimal output-sensitive construction of contour trees using monotone paths
Computational Geometry: Theory and Applications - Special issue on the 19th European workshop on computational geometry - EuroCG 03
Analyzing and Tracking Burning Structures in Lean Premixed Hydrogen Flames
IEEE Transactions on Visualization and Computer Graphics
Relation-Aware Isosurface Extraction in Multifield Data
IEEE Transactions on Visualization and Computer Graphics
A tri-space visualization interface for analyzing time-varying multivariate volume data
EUROVIS'07 Proceedings of the 9th Joint Eurographics / IEEE VGTC conference on Visualization
Stable morse decompositions for piecewise constant vector fields on surfaces
EuroVis'11 Proceedings of the 13th Eurographics / IEEE - VGTC conference on Visualization
A gradient-based comparison measure for visual analysis of multifield data
EuroVis'11 Proceedings of the 13th Eurographics / IEEE - VGTC conference on Visualization
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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.