Critical Points of Gaussian-Distributed Scalar Fields on Simplicial Grids

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dc.contributor.authorLiebmann, Tomen_US
dc.contributor.authorScheuermann, Geriken_US
dc.contributor.editorKwan-Liu Ma and Giuseppe Santucci and Jarke van Wijken_US
dc.date.accessioned2016-06-09T09:32:57Z
dc.date.available2016-06-09T09:32:57Z
dc.date.issued2016en_US
dc.description.abstractSimulations and measurements often result in scalar fields with uncertainty due to errors or output sensitivity estimates. Methods for analyzing topological features of such fields usually are not capable of handling all aspects of the data. They either are not deterministic due to using Monte Carlo approaches, approximate the data with confidence intervals, or miss out on incorporating important properties, such as correlation. In this paper, we focus on the analysis of critical points of Gaussiandistributed scalar fields. We introduce methods to deterministically extract critical points, approximate their probability with high precision, and even capture relations between them resulting in an abstract graph representation. Unlike many other methods, we incorporate all information contained in the data including global correlation. Our work therefore is a first step towards a reliable and complete description of topological features of Gaussian-distributed scalar fields.en_US
dc.description.number3en_US
dc.description.sectionheadersFlow Visualizationen_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume35en_US
dc.identifier.doi10.1111/cgf.12912en_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages361-370en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12912en_US
dc.identifier.urihttps://diglib.eg.org:443/handle/10
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.titleCritical Points of Gaussian-Distributed Scalar Fields on Simplicial Gridsen_US
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