I am currently working on my PhD thesis in the Visual Information Analysis Group of Prof. Dr. Heike Leitte. My thesis deals with investigating how to exploit topological information for the visualization of complex multivariate data sets. See below for a list of my publications and other materials.

I also have a profile on ResearchGate.

Research interests

I am interested in investigating how to use methods from algebraic topology to support the analysis of multivariate data. Since multivariate, unstructured point clouds are very common in domains such as biology and climate research, there are many potential applications for this kind of research. For my PhD, I am mainly using persistent homology as a tool for describing a data set. I also have a general interest in algebraic & differential topology—both fields contain a wealth of potentially useful tools for visualization!

Most recently, I started thinking about how the analysis of several competing predictive models for scalar functions on multivariate data sets can be improved by a visualization based on persistent homology. Prior to that, I developed new topology-based visualizations for analysing data from the German Climate Computing Centre. In joint work with Jens Fangerau among others), we used fractal curves to support the analysis of several thousands of cell lineage trees from zebrafish embryonic development. Together with Hubert Mara and Heike Leitte, I also introduced a new workflow for multivariate data analysis in the domain of cultural heritage.

Some of my colleagues also have personal websites:


Please find a list of my preprints below. Whenever possible, I try to provide a BibTeX file for citing the publication as well as the slides corresponding to the paper. If neither a preprint nor slides are available but you still want to read the publication, please drop me a line to bastian@rieck.ru—it is possible that I am only allowed to share a publication privately.


Persistent Homology in Multivariate Data Visualization
Bastian Rieck
Ph.D. thesis, Ruprecht-Karls-Universität Heidelberg (BibTeX, urn:nbn:de:bsz:16-heidok-229145, DOI: 10.11588/heidok.00022914, Text-only version)

Persistence Concepts for 2D Skeleton Evolution Analysis (extended abstract)
Bastian Rieck, Heike Leitte, and Filip Sadlo
Workshop on Topology-Based Methods in Visualization (TopoInVis), Accepted for Presentation, 2017. (BibTeX, GitHub repository)

Hierarchies and Ranks for Persistence Pairs
Bastian Rieck, Heike Leitte, and Filip Sadlo
Workshop on Topology-Based Methods in Visualization (TopoInVis), Accepted for Presentation, 2017. (BibTeX, Slides)


‘Shall I compare thee to a network?’—Visualizing the Topological Structure of Shakespeare’s Plays
Bastian Rieck and Heike Leitte
Workshop on Visualization for the Digital Humanities at IEEE VIS 2016. (BibTeX, Slides)

Exploring and Comparing Clusterings of Multivariate Data Sets Using Persistent Homology
Bastian Rieck and Heike Leitte
Computer Graphics Forum, Volume 35, Issue 3, pp. 81–90, June 2016. (BibTeX, Supplementary materials, Slides)


Comparing Dimensionality Reduction Methods Using Data Descriptor Landscapes
Bastian Rieck and Heike Leitte
Symposium on Visualization in Data Science (VDS) at IEEE VIS 2015. (BibTeX, Slides)

Persistent Homology for the Evaluation of Dimensionality Reduction Schemes
Bastian Rieck and Heike Leitte
Computer Graphics Forum, Volume 34, Issue 3, pp. 431–440, June 2015. (BibTeX, Slides)

Agreement analysis of quality measures for dimensionality reduction
Bastian Rieck and Heike Leitte
Workshop on Topology-Based Methods in Visualization (TopoInVis), Preprint, 2015. (BibTeX, Slides)


Enhancing Comparative Model Analysis using Persistent Homology
Bastian Rieck and Heike Leitte
IEEE Vis 2014 Workshop on Visualization for Predictive Analytics. (BibTeX, Slides)

Structural analysis of multivariate point clouds using simplicial chains
Bastian Rieck and Heike Leitte
Computer Graphics Forum, Volume 33, Issue 8, pp. 28–37, December 2014. (BibTeX, Slides)

Interactive similarity analysis and error detection in large tree collections
Jens Fangerau, Burkhard Höckendorf, Bastian Rieck, Christian Heine, Joachim Wittbrodt, and Heike Leitte
Visualization in Medicine and Life Sciences III, Springer, 2014. To appear. (BibTeX)


Der “Gesprengte Turm” am Heidelberger Schloss – Untersuchung eines Kulturdenkmals mithilfe hoch auflösender terrestrischer Laserscans
Bastian Rieck, Christoph Siart, Olaf Wagener
Denkmalpflege in Baden-Württemberg, Nachrichtenblatt der Landesdenkmalpflege, Heft 3-2013, S. 165–168.

Unwrapping Highly-Detailed 3D Meshes of Rotationally Symmetric Man-Made Objects
Bastian Rieck, Hubert Mara, and Susanne Krömker
ISPRS Annals of Photogrammetry, Remote Sensing and Spatial Information Sciences, Volume II-5/W1, pp. 259–264. (BibTeX)


Multivariate Data Analysis Using Persistence-Based Filtering and Topological Signatures
Bastian Rieck, Hubert Mara, and Heike Leitte
IEEE Transactions on Visualization and Computer Graphics, Volume 18, Issue 12, pp. 2382–2391, December 2012. (BibTeX)


Smoothness analysis of subdivision algorithms
Master’s Thesis, Heidelberg University. Advised by Susanne Krömker and Heike Leitte. (BibTeX)
You may also be looking for psalm, a small implementation of different subdivision algorithms.


Here are some of my more-or-less public talks.