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Author Shafii, Sohail ♦ Dillard, Scott E. ♦ Hlawitschka, Mario ♦ Hamann, Bernd
Source CiteSeerX
Content type Text
File Format PDF
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Topological Effect ♦ Topological Event ♦ Experimental Measurement ♦ Specific Amount ♦ Extremal Point ♦ Topology-derived Transfer Function ♦ Unsmoothed Data ♦ Visualization Technique ♦ Original Region ♦ Quantitative Analysis ♦ Qualitative Nature ♦ Topological Analysis ♦ Smoothing Process ♦ Substantial Amount ♦ Merging Parameter ♦ Topological Change ♦ Abstract Scientific Data Set ♦ Index Term Volume Visualization ♦ Numerical Simulation ♦ Pre-processing Step ♦ Region Connectivity ♦ Data Remove ♦ Drastic Effect
Abstract Abstract—Scientific data sets generated by numerical simulations or experimental measurements often contain a substantial amount of noise. Smoothing the data removes noise but can have potentially drastic effects on the qualitative nature of the data, thereby influencing its characterization and visualization via topological analysis, for example. We propose a method to track topological changes throughout the smoothing process. As a pre-processing step, we over-smooth the data and collect a list of topological events, specifically the creation and destruction of extremal points. During rendering, it is possible to select the number of topological events by interactively manipulating a merging parameter. The result that a specific amount of smoothing has on the topology of the data is illustrated using a topology-derived transfer function that relates region connectivity of the smoothed data to the original regions of the unsmoothed data. This approach enables visual as well as quantitative analysis of the topological effects of smoothing. Index Terms—Volume visualization, visualization techniques and methodologies, smoothing. 1
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study