Glyphs for Visualizing Uncertainty in Vector Fields
IEEE Transactions on Visualization and Computer Graphics
A Next Step: Visualizing Errors and Uncertainty
IEEE Computer Graphics and Applications
Animated visual vibrations as an uncertainty visualisation technique
Proceedings of the 2nd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Computing Clusters of Correlation Connected objects
SIGMOD '04 Proceedings of the 2004 ACM SIGMOD international conference on Management of data
Machine Learning
Point-Based Probabilistic Surfaces to Show Surface Uncertainty
IEEE Transactions on Visualization and Computer Graphics
Inverse Problem Theory and Methods for Model Parameter Estimation
Inverse Problem Theory and Methods for Model Parameter Estimation
Curvature-Based Transfer Functions for Direct Volume Rendering: Methods and Applications
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Multifield-Graphs: An Approach to Visualizing Correlations in Multifield Scalar Data
IEEE Transactions on Visualization and Computer Graphics
Visualizing Large-Scale Uncertainty in Astrophysical Data
IEEE Transactions on Visualization and Computer Graphics
Uncertainty Visualization in Medical Volume Rendering Using Probabilistic Animation
IEEE Transactions on Visualization and Computer Graphics
Aggregating inconsistent information: Ranking and clustering
Journal of the ACM (JACM)
ACM Transactions on Knowledge Discovery from Data (TKDD)
Correlation study of time-varying multivariate climate data sets
PACIFICVIS '09 Proceedings of the 2009 IEEE Pacific Visualization Symposium
Visualization of gridded scalar data with uncertainty in geosciences
Computers & Geosciences
Noodles: A Tool for Visualization of Numerical Weather Model Ensemble Uncertainty
IEEE Transactions on Visualization and Computer Graphics
Static correlation visualization for large time-varying volume data
PACIFICVIS '11 Proceedings of the 2011 IEEE Pacific Visualization Symposium
EuroVis'11 Proceedings of the 13th Eurographics / IEEE - VGTC conference on Visualization
Visualizing the positional and geometrical variability of isosurfaces in uncertain scalar fields
EuroVis'11 Proceedings of the 13th Eurographics / IEEE - VGTC conference on Visualization
Nonparametric models for uncertainty visualization
EuroVis '13 Proceedings of the 15th Eurographics Conference on Visualization
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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. © 2012 Wiley Periodicals, Inc.