An Overview of the Topology ToolKit

Talha Bin Masood (1) , Joseph Budin (2) , Martin Falk (1) , Guillaume Favelier (3) , Christoph Garth (4) , Charles Gueunet (5) , Pierre Guillou (2) , Lutz Hofmann (6) , Petar Hristov (7) , Adhitya Kamakshidasan (8) , Christopher Kappe (9) , Pavol Klacansky (10) , Patrick Laurin (11) , Joshua A Levine (12) , Jonas Lukasczyk (4) , Daisuke Sakurai (13) , Maxime Soler (14, 2) , Peter Steneteg (1) , Julien Tierny (15, 2) , Will Usher (10) , Jules Vidal (2) , Michal Wozniak (16)

1 LIU - Linköping University
2 APR - Algorithmes, Programmes et Résolution
3 PARIETAL - Modelling brain structure, function and variability based on high-field MRI data
4 TU Kaiserslautern - Technical University of Kaiserslautern
5 Kitware SAS
6 Universität Heidelberg [Heidelberg] = Heidelberg University
7 University of Leeds
8 ILDA - Interacting with Large Data
9 TU Kaiserslautern - Technische Universität Kaiserslautern
10 SCI Institute - Scientific Computing and Imaging Institute
11 ShapeShift3D
12 University of Arizona
13 Kyushu University
14 TOTAL S.A.
15 CNRS - Centre National de la Recherche Scientifique
16 Caboma Inc.

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, in a generic and efficient way, a substantial collection of reference algorithms in TDA. Since its initial public release in 2017, both its user and developer bases have grown, resulting in a significant increase in the number of supported features. In contrast to the original paper introducing TTK (which detailed the core algorithms and data structures of TTK), the purpose of this software paper is to describe the list of features currently supported by TTK, ranging from image segmentation tools to advanced topological analysis of high-dimensional data, with concrete usage examples available on the TTK website.

Domaines: Traitement des images [eess.IV]; Mathématique discrète [cs.DM]; Logiciel mathématique [cs.MS]; Géométrie algorithmique [cs.CG]; Vision par ordinateur et reconnaissance de formes [cs.CV]; Synthèse d'image et réalité virtuelle [cs.GR]

Talha Bin Masood, Joseph Budin, Martin Falk, Guillaume Favelier, Christoph Garth, et al.. An Overview of the Topology ToolKit. TopoInVis 2019 - Topological Methods in Data Analysis and Visualization, Jun 2019, Nykoping, Sweden. ⟨hal-02159838v3⟩