TIERNY Julien
Contributions to Topological Data Analysis for Scientific Visualization"
Scientific visualization aims at helping users (i) abstract, (ii) interact with and (iii) analyze simulated or acquired geometrical data for interpretation, validation and communication purposes. Among existing techniques, algorithms inspired by Morse theory have demonstrated their utility to robustly and efficiently capture and summarize the structure of the studied phenomena, at multiple scales of importance.
In this talk, I will review the main results of my research over the last seven years in this area, with contributions to topological data analysis for each of the topics described above (abstraction, interaction and analysis).
First, I will give a short tutorial on the topological analysis of scalar fields, introducing key concepts such as the Reeb graph, the Morse-Smale complex and the persistence diagram.
Second, I will present my contributions to:
- data abstraction, including fast practical algorithms for the computation of the Reeb graph and the simplification of scalar fields;
- interaction, including interactive segmentation techniques based on the Morse-Smale complex and the Reeb graph;
- analysis, including specializations of topological data analysis approaches to combustion and chemistry applications.
Defence : 04/29/2016 - 14h - Site Jussieu 25-26/105
Jury members :
Hans Hagen, Professeur à TU Kaiserslautern [Rapporteur]
Chris Johnson, Professeur à l'University of Utah [Rapporteur]
Bruno Lévy, Directeur de Recherche à l'INRIA [Rapporteur]
Isabelle Bloch, Professeur à Télécom ParisTech (Examinatrice)
Jean-Daniel Fekete, Directeur de Recherche à l'INRIA (Examinateur)
Pascal Frey, Professeur à l'UPMC (Examinateur)
Philippe Ricoux, Direction Scientifique de Total (Examinateur)
Will Schroeder, Directeur de Kitware Inc. (Examinateur)
4 PhD students (Supervision / Co-supervision)
- KISSI Mohamed Amine : No title
- LE GUILLOU Eve : No title
- PONT Mathieu : Métriques topologiques discriminantes
- SISOUK Keanu : Apprentissage par dictionnaires de diagrammes de Persistance