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....that can cause the dimensionality of intermediate query results (and the corresponding histograms) to explode. 113 Wavelet based techniques provide a mathematical tool for the hierarchical decomposition of functions, with a long history of successful applications in signal and image processing [74, 100, 137]. Recent studies have demonstrated the applicability of wavelets to selectivity estimation [91] and the approximation of range sum queries over OLAP data cubes [144, 145] The idea is to apply wavelet decomposition to the input data collection (attribute column(s) or OLAP cube) and retain the best ....
....to hierarchically decompose functions in a manner that is both efficient to compute and theoretically sound. Broadly speaking, the wavelet decomposition of a function consists of a coarse overall approximation together with detail coefficients that influence the function at various resolutions [137]. The wavelet decomposition has excellent energy compaction and de correlation properties, which can be used to effectively generate compact representations that exploit the structure of data. Furthermore, wavelet transforms can generally be computed in linear time, thus allowing for very ....
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Eric J. Stollnitz, Tony D. DeRose, and David H. Salesin. "Wavelets for Computer Graphics -- Theory and Applications". Morgan Kaufmann Publishers, Inc., San Francisco, CA, 1996.
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E. J. Stollnitz, T. D. DeRose, and D. H. Salesin. Wavelets for Computer Graphics: Theory and Applications. Morgan Kaufmann, 1996.
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Eric J. Stollnitz, Tony D. DeRose, David H. Salesin, Wavelets for Computer Graphics: Theory and Applications, Morgan Kaufmann Publishers, Inc. , San Francisco, CA, 1996
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Eric J. Stollnitz, Tony D. DeRose, and David H. Salesin. Wavelets for Computer Graphics: Theory and Applications. Morgann Kaufmann, San Francisco, CA, 1996.
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E.J. Stollnitz, T.D. DeRose, and D.H. Salesin, Wavelets for Computer Graphics--Theory and Applications, Morgan Kaufmann Publishers, Inc., San Francisco, California, 1996.
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) E. Stollnitz, T. Derose, and D. Salesin. Wavelets for Computer Graphics: Theory and Application. Morgan Kaufmann, 1996.
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STOLLNITZ E. J., DEROSE T. D., SALESIN D. H.: Wavelets for Computer Graphics: Theory and Applications. Morgan Kaufmann, 1996. 2
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E.J. Stollnitz, T.D. DeRose, and D.H. Salesin, Wavelets for Computer Graphics: Theory and Applications. San Francisco: Morgan Kaufmann, 1996.
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E. Stollnitz, T. DeRose, and D. Salesin, Wavelets for computer graphics: Theory and applications, Morgan Kaufmann Publishers, Inc, San Francisco, 1996.
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