This system paper presents the Topology ToolKit (TTK), a software platform designed for the
topological analysis of scalar data in scientific visualization. While topological data analysis …

This paper presents the state of the art in the area of topology‐based visualization. It
describes the process and results of an extensive annotation for generating a definition and …

Interactions between atoms have a major influence on the chemical properties of molecular
systems. While covalent interactions impose the structural integrity of molecules …

This paper presents a unified computational framework for the estimation of distances,
geodesics and barycenters of merge trees. We extend recent work on the edit distance 104 …

This article presents a computational framework for the Principal Geodesic Analysis of
merge trees (MT-PGA), a novel adaptation of the celebrated Principal Component Analysis …

This book is adapted from my habilitation thesis manuscript, which reviewed my research
work since my Ph. D. thesis defense (2008), as a postdoctoral researcher at the University of …

Contour Trees and Reeb Graphs are firmly embedded in scientific visualization for analysing
univariate (scalar) fields. We generalize this analysis to multivariate fields with a data …

Topological structures such as the merge tree provide an abstract and succinct
representation of scalar fields. They facilitate effective visualization and interactive …

This paper presents, to the best of our knowledge, the first parallel algorithm for the
computation of the augmented Reeb graph of piecewise linear scalar data. Such augmented …

This application paper presents a comprehensive experimental eval-uation of the suitability
of Topological Data Analysis (TDA) for the quantitative comparison of turbulent flows …