Let G be a planar subdivision with n vertices. A succinct geometric index for G is a data structure that occupies o(n) bits beyond the space required to store the coordinates of the vertices of G, while supporting efficient queries. We describe a general framework for converting dynamic data structures for planar point location into succinct geometric indexes, provided that the subdivision G to be maintained has bounded face size. Using this framework, we obtain several succinct geometric indexes for dynamic planar point location on G with query times matching the currently best (non-succinct) data structures and polylogarithmic update times. © Springer-Verlag 2012.
CITATION STYLE
He, M., Nicholson, P. K., & Zeh, N. (2012). A space-efficient framework for dynamic point location. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7676 LNCS, pp. 548–557). Springer Verlag. https://doi.org/10.1007/978-3-642-35261-4_57
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