Massive simulations and arrays of sensing devices, in combination with increasing
computing resources, have generated large, complex, high-dimensional datasets used to …

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 software paper gives an overview of the features supported by the Topology ToolKit
(TTK), which is an open-source library for topological data analysis (TDA). TTK implements …

Volume rendering techniques have been developed for decades and have been widely
applied in many research fields, such as medical image visualization, geological …

An interpretation of the reduced density gradient in terms of the bosonic kinetic energy
density is presented. Contrary to other bonding indicators based on the kinetic energy …

This paper presents an efficient algorithm for the computation of the Reeb space of an input
bivariate piecewise linear scalar function f defined on a tetrahedral mesh. By extending and …

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 …

Multivariate spatial data play an important role in computational science and engineering
simulations. The potential features and hidden relationships in multivariate data can assist …

Across many scientific disciplines, the pursuit of even higher grid resolutions leads to a
severe scalability problem in scientific computing. Feature extraction is a commonly chosen …

This document introduces the key concepts and algorithms of Topological Data Analysis in
low dimensions. First, the input data representation is formalized. Second, some of the core …