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» On Range Searching with Semialgebraic Sets
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CCCG
2010
13 years 9 months ago
Towards a dynamic data structure for efficient bounded line range search
We present a data structure for efficient axis-aligned orthogonal range search on a set of n lines in a bounded plane. The algorithm requires O(log n + k) time in the worst case t...
Thuy Le, Bradford G. Nickerson
COMPGEOM
2010
ACM
14 years 15 days ago
A dynamic data structure for approximate range searching
In this paper, we introduce a simple, randomized dynamic data structure for storing multidimensional point sets, called a quadtreap. This data structure is a randomized, balanced ...
David M. Mount, Eunhui Park
COMPGEOM
1995
ACM
13 years 11 months ago
Approximate Range Searching
The range searching problem is a fundamental problem in computational geometry, with numerous important applications. Most research has focused on solving this problem exactly, bu...
Sunil Arya, David M. Mount
ISAAC
2007
Springer
156views Algorithms» more  ISAAC 2007»
14 years 1 months ago
Approximate Range Searching in External Memory
In this paper, we present two linear-size external memory data structures for approximate range searching. Our first structure, the BAR-B-tree, stores a set of N points in Rd and ...
Micha Streppel, Ke Yi
WADS
2009
Springer
268views Algorithms» more  WADS 2009»
14 years 2 months ago
Succinct Orthogonal Range Search Structures on a Grid with Applications to Text Indexing
We present a succinct representation of a set of n points on an n × n grid using n lg n + o(n lg n) bits3 to support orthogonal range counting in O(lg n/ lg lg n) time, and range ...
Prosenjit Bose, Meng He, Anil Maheshwari, Pat Mori...