Visualization of Features in Uncertain Data
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
2015
2013
2012
2011
2016 |
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Konstantin Krenz | 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 |
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2015 |
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Kai Pöthkow | Modeling, Quantification and Visualization of Probabilistic Features in Fields with Uncertainties | Doctoral thesis, Freie Universität Berlin, Christof Schütte (Advisor), 2015 |
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2013 |
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Kai Pöthkow, Christoph Petz, Hans-Christian Hege | Approximate Level-Crossing Probabilities for Interactive Visualization of Uncertain Isocontours | International Journal for Uncertainty Quantification, 3(2), pp. 101-117, 2013 |
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Kai Pöthkow, Hans-Christian Hege | Nonparametric Models for Uncertainty Visualization | Computer Graphics Forum, 32(3), pp. 131-140, 2013 |
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2012 |
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Christoph Petz, Kai Pöthkow, Hans-Christian Hege | Probabilistic Local Features in Uncertain Vector Fields with Spatial Correlation | Computer Graphics Forum, 31(3), pp. 1045-1054, 2012 |
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Kai Pöthkow, Hans-Christian Hege | 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 |
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2011 |
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Kai Pöthkow, Hans-Christian Hege | Positional Uncertainty of Isocontours: Condition Analysis and Probabilistic Measures | IEEE Transactions on Visualization and Computer Graphics, 17(10), pp. 1393-1406, 2011 |
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