Approximate range searching: The absolute model
نویسندگان
چکیده
منابع مشابه
Approximate Range Searching: The Absolute Model
Range searching is a well known problem in the area of geometric data structures. We consider this problem in the context of approximation, where an approximation parameter ε > 0 is provided. Most prior work on this problem has focused on the case of relative errors, where each range shape R is bounded, and points within distance ε · diam(R) of the range’s boundary may or may not be included. W...
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Range searching is a well known problem in the area of geometric data structures. We consider this problem in the context of approximation, where an approximation parameter ε > 0 is provided, and points that are sufficiently close to the range’s boundary may or may not be included. Most prior work on approximating this problem has focused on the case of relative errors, in which it is assumed t...
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We show how any BSP tree TP for the endpoints of a set of n disjoint segments in the plane can be used to obtain a BSP tree of size O(n · depth(TP )) for the segments themselves, such that the range-searching efficiency remains almost the same. We apply this technique to obtain a BSP tree of size O(n log n) such that ε-approximate range searching queries with any constant-complexity convex quer...
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ژورنال
عنوان ژورنال: Computational Geometry
سال: 2010
ISSN: 0925-7721
DOI: 10.1016/j.comgeo.2008.09.009