Visualization of Global Correlation Structures in Uncertain 2D Scalar Fields (English)

In: Computer Graphics Forum   ;  31 ,  3pt2  ;  1025-1034  ;  2012

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Visualizing correlations, i.e., the tendency of uncertain data values at different spatial positions to change contrarily or according to each other, allows inferring on the possible variations of structures in the data. Visualizing global correlation structures, however, is extremely challenging, since it is not clear how the visualization of complicated long‐range dependencies can be integrated into standard visualizations of spatial data. Furthermore, storing correlation information imposes a memory requirement that is quadratic in the number of spatial sample positions. This paper presents a novel approach for visualizing both positive and inverse global correlation structures in uncertain 2D scalar fields, where the uncertainty is modeled via a multivariate Gaussian distribution. We introduce a new measure for the degree of dependency of a random variable on its local and global surroundings, and we propose a spatial clustering approach based on this measure to classify regions of a particular correlation strength. The clustering performs a correlation filtering, which results in a representation that is only linear in the number of spatial sample points. Via cluster coloring the correlation information can be embedded into visualizations of other statistical quantities, such as the mean and the standard deviation. We finally propose a hierarchical cluster subdivision scheme to further allow for the simultaneous visualization of local and global correlations.

Table of contents – Volume 31, Issue 3pt2

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985
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May, T. / Steiger, M. / Davey, J. / Kohlhammer, J. | 2012
995
Comparative Evaluation of an Interactive Time‐Series Visualization that Combines Quantitative Data with Qualitative Abstractions
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1005
A Qualitative Study on the Exploration of Temporal Changes in Flow Maps with Animation and Small‐Multiples
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1015
Conceptualizing Visual Uncertainty in Parallel Coordinates
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1025
Visualization of Global Correlation Structures in Uncertain 2D Scalar Fields
Pfaffelmoser, Tobias / Westermann, Rüdiger | 2012
1035
Vortex Analysis in Uncertain Vector Fields
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1045
Probabilistic Local Features in Uncertain Vector Fields with Spatial Correlation
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1055
Reliable Adaptive Modelling of Vascular Structures with Non‐Circular Cross‐Sections
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van Pelt, R. F. P. / Jacobs, S. S. A. M. / ter Haar Romeny, B. M. / Vilanova, A. | 2012
1075
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1085
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1095
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