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Deterministic Rectangle Enclosure and Offline Dominance Reporting on the RAM
[chapter]

2014
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Lecture Notes in Computer Science
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We revisit a classical problem in computational geometry that has been studied since the 1980s: in the rectangle enclosure problem we want to report all k enclosing pairs of n input rectangles in 2D. We present the first deterministic algorithm that takes O(n log n + k) worst-case time and O(n) space in the word-RAM model. This improves previous deterministic algorithms with O((n log n + k) log log n) running time. We achieve the result by derandomizing the algorithm of Chan, Larsen and

doi:10.1007/978-3-662-43948-7_7
fatcat:t2psiqxxnnblpcw5p5yeyo4mjq