(Enter summary)
Abstract: A number of important problems in computational geometry are
solved efficiently on 2- or 3-dimensional grids by means of scanline techniques.
In the solutions to the maximal elements and closure problems, a factor log n is
substituted by loglog u, where n is the set size and u the grid size. Next, by using
a data structure introduced in the paper, the interval trie, previous solutions to
the rectangle intersection and connected component problems are improved upon.
Finally, a fast intersection... (Update)
Context of citations to this paper: More
...that do not dominate any red point. We denote this as the cleaning of the red (resp. blue) set w.r.t. the blue (resp. red) set. In [KO88], Karlsson and Overmars give an O(n log log u) time and O(u) space algorithm, which given n points in U 3 , computes the maximal elements....
.... column within rows, h; w) SCA constructs a minimal (h; w) staircase cover of M in time O(j Gammaj log log n) Karlsson and Overmars [13] use Johnson s priority queue in a similar manner to obtain an O(n log log n) algorithm for the maximal layers problem (see Theorem 3.1 in...
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3: the equivalence of some rectangle problems (context) - Edelsbrunner, Overmars - 1982
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BibTeX entry: (Update)
R.G. Karlsson and M.H. Overmars, "Scanline algorithms on a grid", BIT 28 (1988) 227--241. http://citeseer.ist.psu.edu/karlsson86scanline.html More
@article{ karlsson88scanline,
author = "Rolf G. Karlsson and Mark H. Overmars",
title = "Scanline Algorithms on a Grid",
journal = "BIT",
volume = "28",
number = "2",
pages = "227-241",
year = "1988",
url = "citeseer.ist.psu.edu/karlsson86scanline.html" }
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Computing the Connected Components of Simple Rectilinear Geo.. (context) - Edelsbrunner, van Leeuwen et al. - 1984
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Locking Policies: Safety and Freedom for Deadlock (context) - Yannakakis, Papadimitriou et al. - 1979
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An Optimal Algorithm for Testing for Safety and Detecting De.. (context) - Soisalon-Soininen, Wood - 1982
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A New Approach to Rectangle Intersections (context) - Edeisbrunner - 1983
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