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Using topological sweep to extract the boundaries of regions in maps represented by region quadtrees

1996
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Algorithmica
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A variant of the plane-sweep paradigm known as topological sweep is adapted to solve geometric problems involving two-dimensional regions when the underlying representation is a region quadtree. The utility of this technique is illustrated by showing how it can be used to extract the boundaries of a map in O(M) space and O(Mα(M)) time, where M is the number of quadtree blocks in the map, and α(·) is the (extremely slowly growing) inverse of Ackerman's function. The algorithm works for maps that

doi:10.1007/bf01942608
fatcat:52ejo35uprabrhvxxeus2ojfkm