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Erschienen in:
2012 | OriginalPaper | Buchkapitel
The Wavelet Matrix
verfasst von : Francisco Claude, Gonzalo Navarro
Erschienen in: String Processing and Information Retrieval
Verlag: Springer Berlin Heidelberg
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The
wavelet tree
(Grossi et al., SODA 2003) is nowadays a popular succinct data structure for text indexes, discrete grids, and many other applications. When it has many nodes, a levelwise representation proposed by Mäkinen and Navarro (LATIN 2006) is preferable. We propose a different arrangement of the levelwise data, so that the bitmaps are shuffled in a different way. The result can no more be called a wavelet tree, and we dub it
wavelet matrix
. We demonstrate that the wavelet matrix is simpler to build, simpler to query, and faster in practice than the levelwise wavelet tree. This has a direct impact on many applications that use the levelwise wavelet tree for different purposes.