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Activity Number: 271
Type: Contributed
Date/Time: Tuesday, August 4, 2009 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistical Graphics
Abstract - #305172
Title: Voronoi Tessellation for Contour Plots
Author(s): Hyunsook Lee*+
Companies: Harvard-Smithsonian Center for Astrophysics
Address: 60 Garden St. MS70, Cambridge, MA, 02138,
Keywords: Voronoi tessellation ; contours ; nonparametric density estimation ; algorithm ; mode identification ; high energy astrophysics
Abstract:

Contour plots are the most frequently adopted display method when data points are quite populated and hardly distinguishable in scatter plots. In order to get contours of certain percentiles, often imposed are parametric models and distributions including kernel functions. Their shortcomings are posing ellipsoid shape contours, and expensive but slow computation with massive data. Overcoming such obstacles has been a consistent demand in astronomy owing to colossal data size. Here, we propose Voronoi tessellation for contouring and enhancing information of scatter plots. The tessellation does not impose any parametric density functions. As opposed to kernel density estimation, it is computationally efficient while delineating the shape of data distributions. The algorithm is illustrated with simulated data and applied to scatter plots from X-ray spectral data analysis.


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