  This tutorial presents topological methods for the analysis and visualization
of scientific data from a user's perspective, with the Topology ToolKit (TTK),
a recently released open-source library for topological data analysis.
Topological methods have gained considerably in popularity and maturity over
the last twenty years and success stories of established methods have been
documented in a wide range of applications (combustion, chemistry,
astrophysics, material sciences, etc.) with both acquired and simulated data,
in both post-hoc and in-situ contexts. While reference textbooks have been
published on the topic, no tutorial at IEEE VIS has covered this area in recent
years, and never at a software level and from a user's point-of-view. This
tutorial fills this gap by providing a beginner's introduction to topological
methods for practitioners, researchers, students, and lecturers. In particular,
instead of focusing on theoretical aspects and algorithmic details, this
tutorial focuses on how topological methods can be useful in practice for
concrete data analysis tasks such as segmentation, feature extraction or
tracking. The tutorial describes in detail how to achieve these tasks with TTK.
First, after an introduction to topological methods and their application in
data analysis, a brief overview of TTK's main entry point for end users, namely
ParaView, will be presented. Second, an overview of TTK's main features will be
given. A running example will be described in detail, showcasing how to access
TTK's features via ParaView, Python, VTK/C++, and C++. Third, hands-on sessions
will concretely show how to use TTK in ParaView for multiple, representative
data analysis tasks. Fourth, the usage of TTK will be presented for developers,
in particular by describing several examples of visualization and data analysis
projects that were built on top of TTK. Finally, some feedback regarding the
usage of TTK as a teaching platform for topological analysis will be given.
Presenters of this tutorial include experts in topological methods, core
authors of TTK as well as active users, coming from academia, labs, or
industry. A large part of the tutorial will be dedicated to hands-on exercises
and a rich material package (including TTK pre-installs in virtual machines,
code, data, demos, video tutorials, etc.) will be provided to the participants.
This tutorial mostly targets students, practitioners and researchers who are
not experts in topological methods but who are interested in using them in
their daily tasks. We also target researchers already familiar to topological
methods and who are interested in using or contributing to TTK.
