an:06439707
Zbl 1314.68115
Chien, Yu-Feng; Hon, Wing-Kai; Shah, Rahul; Thankachan, Sharma V.; Vitter, Jeffrey Scott
Geometric BWT: compressed text indexing via sparse suffixes and range searching
EN
Algorithmica 71, No. 2, 258-278 (2015).
00342925
2015
j
68P15 68P05 68P30
text indexing; entropy compression; geometric range searching
Summary: We introduce a new variant of the popular Burrows-Wheeler transform (BWT), called Geometric Burrows-Wheeler Transform (GBWT), which converts a text into a set of points in 2-dimensional geometry. We also introduce a reverse transform, called \texttt{Points2Text}, which converts a set of points into text. Using these two transforms, we show strong equivalence between data structural problems in geometric range searching and text pattern matching. This allows us to apply the lower bounds known in the field of orthogonal range searching to the problems in compressed text indexing. In addition, we give the first succinct (compact) index for I/O-efficient pattern matching in external memory, and show how this index can be further improved to achieve higher-order entropy compressed space.