Visualizing Ensembles of Viscous Fingers

Guillaume Favelier (1) , Charles Gueunet (1, 2) , Julien Tierny (1)

1 PEQUAN - Performance et Qualité des Algorithmes Numériques
2 Kitware SAS

This paper presents a topological data analysis framework based on persistent homology and Morse complexes for the visualization and analysis of ensemble data-sets representing viscous fingers. Our approach quantitatively corroborates the classical description of viscous fingers. A systematic analysis across several data resolutions indicates converging statistics as the resolution increases.

Mots clés: data segmentation; Topological data analysis; ensemble data; feature tracking; viscous fingers

Domaines: Géométrie algorithmique [cs.CG]; Logiciel mathématique [cs.MS]; Mathématique discrète [cs.DM]; Topologie générale [math.GN]

Guillaume Favelier, Charles Gueunet, Julien Tierny. Visualizing Ensembles of Viscous Fingers. IEEE Scientific Visualization Contest, Oct 2016, Baltimore, United States. ⟨hal-01359694⟩