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Erschienen in:
2003 | OriginalPaper | Buchkapitel
Fast Methods for Computing Isosurface Topology with Betti Numbers
verfasst von : Shirley F. Konkle, Patrick J. Moran, Bernd Hamann, Kenneth I. Joy
Erschienen in: Data Visualization
Verlag: Springer US
Enthalten in: Professional Book Archive
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Betti numbers can be used as a means for feature detection to aid in the exploration of complex large-scale data sets. We present a fast algorithm for the calculation of Betti numbers for triangulated isosurfaces, along with examples of their use. Once an isosurface is extracted from a data set, calculating Betti numbers only requires time and space proportional to the isosurfaces, not the data set. Because the overhead of obtaining Betti numbers is small, our algorithm can be used with large data.