Time-and space-optimal contour computation for a set of rectangles (Q1108000)
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scientific article; zbMATH DE number 4066326
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Time-and space-optimal contour computation for a set of rectangles |
scientific article; zbMATH DE number 4066326 |
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Time-and space-optimal contour computation for a set of rectangles (English)
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1987
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We present the first time- and space-optimal algorithm for the problem of computing the contours of the disjoint polygons defined by the union of n rectangles in the plane. It requires O(n log n\(+e)\) time and O(n) space, where e is the total number of edges in the contour cycles. The space optimality of the solution is demonstrated by way of a combinatorial argument.
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optimal contour computation
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computational geometry
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