Visual Analysis of Spatial Variability and Global Correlations in Ensembles of Iso-Contours

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dc.contributor.authorFerstl, Florianen_US
dc.contributor.authorKanzler, Mathiasen_US
dc.contributor.authorRautenhaus, Marcen_US
dc.contributor.authorWestermann, Rüdigeren_US
dc.contributor.editorKwan-Liu Ma and Giuseppe Santucci and Jarke van Wijken_US
dc.date.accessioned2016-06-09T09:32:45Z
dc.date.available2016-06-09T09:32:45Z
dc.date.issued2016en_US
dc.description.abstractFor an ensemble of iso-contours in multi-dimensional scalar fields, we present new methods to a) visualize their dominant spatial patterns of variability, and b) to compute the conditional probability of the occurrence of a contour at one location given the occurrence at some other location. We first show how to derive a statistical model describing the contour variability, by representing the contours implicitly via signed distance functions and clustering similar functions in a reduced order space. We show that the spatial patterns of the ensemble can then be derived by analytically transforming the boundaries of a confidence interval computed from each cluster into the spatial domain. Furthermore, we introduce a mathematical basis for computing correlations between the occurrences of iso-contours at different locations. We show that the computation of these correlations can be posed in the reduced order space as an integration problem over a region bounded by four hyper-planes. To visualize the derived statistical properties we employ a variant of variability plots for streamlines, now including the color coding of probabilities of joint contour occurrences. We demonstrate the use of the proposed techniques for ensemble exploration in a number of 2D and 3D examples, using artificial and meteorological data sets.en_US
dc.description.number3en_US
dc.description.sectionheadersPrediction and Forecastingen_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume35en_US
dc.identifier.doi10.1111/cgf.12898en_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages221-230en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12898en_US
dc.identifier.urihttps://diglib.eg.org:443/handle/10
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectI.3.3 [Computer Graphics]en_US
dc.subjectPicture/Image Generationen_US
dc.subjectLine and curve generationen_US
dc.titleVisual Analysis of Spatial Variability and Global Correlations in Ensembles of Iso-Contoursen_US
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35-Issue 3
EuroVis16: Eurographics Conference on Visualization