2012
DOI: 10.2172/1060988
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Exploration of High-dimensional Scalar Function for Nuclear Reactor Safety Analysis and Visualization: A User's Guide to TopoXG*

Abstract: Large-scale simulation datasets can be modeled as high-dimensional scalar functions defined over a discrete sample of the domain. The goals of our proposed research are two-fold. First, we would like to provide structural analysis of a function at multiple scales and provide insight into the relationship between the input parameters and the output. Second, we enable exploratory analysis for users, where we help the users to differentiate features from noise through multi-scale analysis on an interactive platfo… Show more

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Cited by 8 publications
(17 citation statements)
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“…Furthermore, the shape of the graph indicates whether there exist stable ranges of scale to separate noise from features. The tube view (d) is similar to the visualization interfaces developed in [14] and then enhanced in [24]. The interface summarizes each Morse cell into a 1D curve using inverse linear regression in highdimensional space, which is then projected onto a viewable 3D space.…”
Section: Existing Modulesmentioning
confidence: 99%
“…Furthermore, the shape of the graph indicates whether there exist stable ranges of scale to separate noise from features. The tube view (d) is similar to the visualization interfaces developed in [14] and then enhanced in [24]. The interface summarizes each Morse cell into a 1D curve using inverse linear regression in highdimensional space, which is then projected onto a viewable 3D space.…”
Section: Existing Modulesmentioning
confidence: 99%
“…19,996 data points 9 dimensions, i.e., 9 input variable Output variable is maximum clad temperature Using the HDViz software [12,13] (see Appendix C for details) and the from 9D-MT-all-3C dataset, we were able to obtain 3 "crystals/clusters 6 " as shown in Figure 7-1. Topological structure of the Clad max temperature as a 9-dimensional surface was characterized by a single local minima and 3 local maxima as indicated in These types of insights are important as we investigate risk-informed margins management approaches.…”
Section: Case 9d-mt-all-3cmentioning
confidence: 99%
“…Such visual interface is inherited and extended from the capabilities provided by HDViz [29] and has been previously employed for nuclear reactor analysis and visualization [50]. As shown in Figure 32 (a), the topological summary interface summarizes each Morse-Smale crystal into a 1D curve in high-dimensional space which is then projected onto a viewable 3D space.…”
Section: Visual Interfacementioning
confidence: 99%