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Scanline Algorithms on a Grid (1986)  (Make Corrections)  (5 citations)
Roll G. Karlsson, Mark H. Overmars
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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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Queue Layouts and Staircase Covers of Matrices - Heath, Pemmaraju (1994)   (Correct)

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0.4:   On Rectangular Visibility - Overmars, Wood (1986)   (Correct)
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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" }
Citations (may not include all citations):
169   Algorithms for Reporting and Counting Geometric Intersection.. (context) - Bentley, Ottman - 1979  DBLP
46   Preserving Order in a Forest in Less Than Logarithmic Time a.. (context) - Boas - 1977  DBLP
41   Log-logarithmic Worst-case Range Queries Are Possible in Spa.. (context) - Willard - 1983
32   A Priority Queue in which Initialization and Queue Operation.. (context) - Johnson - 1982
31   On Finding the Maxima of a Set of Vectors (context) - Kun, Luccio et al. - 1975  ACM   DBLP
27   the Identification of the Convex Hull of a Finite Set of Poi.. (context) - Jarvis - 1973
20   Upper Bounds for Sorting Integers on Random Access Machines (context) - Kirkpatrick, Reisch - 1984  ACM   DBLP
14   New Trie Data Structures Which Support Very Fast Search Oper.. (context) - Willard - 1984  ACM   DBLP
9   Algorithms in a Restricted Universe (context) - Karlsson - 1984  ACM
5   Expected Time Algorithm for the Planar Segment Intersection .. (context) - Myers, log - 1985
3   Intersecting is Easier than Sorting (context) - Chazelle - 1984  ACM   DBLP
3   Workshop on Graphtheoretic Concepts in Computer Science (context) - Mller, Location - 1985
3   Computational Geometry on Integer Grids (context) - Keil, Kirkpatrick - 1981
3   Computing the Connected Components of Simple Rectilinear Geo.. (context) - Edelsbrunner, van Leeuwen et al. - 1984
2   Springer-Verlag (context) - Preparata, Shamos et al. - 1985
2   Locking Policies: Safety and Freedom for Deadlock (context) - Yannakakis, Papadimitriou et al. - 1979
2   Normalized Divide and Conquer (context) - Karlsson, Overmars
1   Workshop on Graphtheoretk Concepts in Computer Science (context) - Overmars, on et al. - 1985
1   Efficient Algoritlms for Enmerating Intersecting Intervals a.. (context) - McCreight - 1980
1   An Optimal Algorithm for Testing for Safety and Detecting De.. (context) - Soisalon-Soininen, Wood - 1982
1   and J.I. Munro, Proximity on a Grid, Proc. 2nd Symposium on .. (context) - Karlsson - 1985
1   A New Approach to Rectangle Intersections (context) - Edeisbrunner - 1983



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