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 …

We introduce TopoMS, a computational tool enabling detailed topological analysis of
molecular and condensed‐matter systems, including the computation of atomic volumes and …

Morse theory offers a natural and mathematically‐sound tool for shape analysis and
understanding. It allows studying the behavior of a scalar function defined on a manifold …

This paper introduces an efficient algorithm for persistence diagram computation, given an
input piecewise linear scalar field defined on a-dimensional simplicial complex, with. Our …

This paper presents an efficient algorithm for the progressive approximation of Wasserstein
barycenters of persistence diagrams, with applications to the visual analysis of ensemble …

This paper presents a robust and efficient method for tracking topological features in time-
varying scalar data. Structures are tracked based on the optimal matching between …

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 …

This paper presents a new algorithm for the lossy compression of scalar data defined on 2D
or 3D regular grids, with topological control. Certain techniques allow users to control the …

This paper presents a new algorithm for the fast, shared memory, multi-core computation of
augmented contour trees on triangulations. In contrast to most existing parallel algorithms …