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Voronoi Hierarchy of the Cats-Eye Nebula (Image 2)
Caption:
This Voronoi hierarchy image—the second image in a series of three Voronoi hierarchy images of the Cat's Eye Nebula—contains 737 cells. The second elliptical path in the center is now evident. [See other two images in the series: Voronoi Hierarchy of the Cats-Eye Nebula Image 1 and Image 3.]
A Voronoi hierarchy is a new, general form of multiresolution hierarchies. The method can be applied to a variety of data, including scattered data, arbitrarily gridded data, and data on multi-dimensional domains. To create a Voronoi hierarchy, an initial Voronoi diagram must first be created to represent the coarsest level of detail. Second, points are inserted into the existing diagram to create higher levels of resolution. At each iteration of the algorithm, we identify a set of cells with high errors. Inserting points where the maximal errors occur leads to excellent results. The three illustrations in this series show three resolutions of a Voronoi hierarchy for an image of the Cats-Eye Nebula. The first level contains 208 cells, the second contains 737 cells, and the final 8284 cells. Using this algorithm, we can generate an excellent representation of the original image at a fraction of the original data size.
This work was supported in part by a grant from the National Science Foundation's Large Scientific and Software Data Set Visualization program, grant ACI 99-82251.
(Preview Only)
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Credit: |
This work is detailed in a paper by Shirley E. Schussman, Martin Bertram, Bernd Hamann, and Kenneth I. Joy, |
Year of Image: |
1999 |
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Categories:
COMPUTERS / Visualization
Formats Available:
Restrictions:
No additional restrictions--beyond NSF's general restrictions--have been placed on this image. For a list of general restrictions that apply to this and all images in the NSF Image Library, see the section "Conditions".
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