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FOCS
2009
IEEE
15 years 4 months ago
Orthogonal Range Reporting in Three and Higher Dimensions
In orthogonal range reporting we are to preprocess N points in d-dimensional space so that the points inside a d-dimensional axis-aligned query box can be reported efficiently. T...
Peyman Afshani, Lars Arge, Kasper Dalgaard Larsen
COMPGEOM
2010
ACM
15 years 2 months ago
Orthogonal range reporting: query lower bounds, optimal structures in 3-d, and higher-dimensional improvements
Orthogonal range reporting is the problem of storing a set of n points in d-dimensional space, such that the k points in an axis-orthogonal query box can be reported efficiently. ...
Peyman Afshani, Lars Arge, Kasper Dalgaard Larsen
99
Voted
CCCG
2009
14 years 10 months ago
Data Structures for Range Aggregation by Categories
We solve instances of a general class of problems defined as follows: Preprocess a set S of possibly weighted colored geometric objects (e.g. points/orthogonal segments/rectangles...
Saladi Rahul, Prosenjit Gupta, K. S. Rajan
CCCG
2008
14 years 11 months ago
Searching for Frequent Colors in Rectangles
We study a new variant of colored orthogonal range searching problem: given a query rectangle Q all colors c, such that at least a fraction of all points in Q are of color c, mus...
Marek Karpinski, Yakov Nekrich
STOC
2012
ACM
272views Algorithms» more  STOC 2012»
12 years 12 months ago
The cell probe complexity of dynamic range counting
In this paper we develop a new technique for proving lower bounds on the update time and query time of dynamic data structures in the cell probe model. With this technique, we pro...
Kasper Green Larsen