Almost all data is affected by uncertainty — either of epistemic or aleatoric character, or both. While graphs of R → R functions mostly show error bars, visualization methods for high-dimensional data typically do not consider uncertainty. An important subfield of data visualization is feature-based visualization, i.e. the extraction and visualization of, e.g. geometrical or topological structures. In this project we aim at finding probabilistic equivalents to crisp features for scalar, vector and tensor fields fraught with uncertainty, quantifying these probabilistic features and devising methods for their interactive visualization.

Publications

2016
How likely is it that one’s standing on a ridge? Probabilistic Ridges in Gaussian Random Fields Bachelor's thesis, Humboldt-Universität zu Berlin, Hans-Christian Hege (Advisor), 2016 Konstantin Krenz BibTeX
Visualization of Features in Uncertain Data
2015
Modeling, Quantification and Visualization of Probabilistic Features in Fields with Uncertainties Doctoral thesis, Freie Universität Berlin, Christof Schütte (Advisor), 2015 Kai Pöthkow BibTeX
Visualization of Features in Uncertain Data
2013
Approximate Level-Crossing Probabilities for Interactive Visualization of Uncertain Isocontours International Journal for Uncertainty Quantification, 3(2), pp. 101-117, 2013 Kai Pöthkow, Christoph Petz, Hans-Christian Hege PDF
BibTeX
DOI
Visualization of Features in Uncertain Data
Nonparametric Models for Uncertainty Visualization Computer Graphics Forum, 32(3), pp. 131-140, 2013 Kai Pöthkow, Hans-Christian Hege PDF
BibTeX
DOI
Visualization of Features in Uncertain Data
2012
Probabilistic Local Features in Uncertain Vector Fields with Spatial Correlation Computer Graphics Forum, 31(3), pp. 1045-1054, 2012 Christoph Petz, Kai Pöthkow, Hans-Christian Hege PDF
BibTeX
Visualization of Features in Uncertain Data
Uncertainty Propagation in DT-MRI Anisotropy Isosurface Extraction New Developments in the Visualization and Processing of Tensor Fields, David Laidlaw, Anna Vilanova (Eds.), Springer: Berlin, pp. 209-225, 2012 Kai Pöthkow, Hans-Christian Hege PDF
BibTeX
Visualization of Features in Uncertain Data
2011
Positional Uncertainty of Isocontours: Condition Analysis and Probabilistic Measures IEEE Transactions on Visualization and Computer Graphics, 17(10), pp. 1393-1406, 2011 Kai Pöthkow, Hans-Christian Hege PDF
BibTeX
DOI
Visualization of Features in Uncertain Data