Perfect binary space partitions
نویسندگان
چکیده
منابع مشابه
Binary Space Partitions
Binary Space Partitions Name: Adrian Dumitrescu, Csaba D. Tóth Affil./Addr. 1: Computer Science, Univ. of Wisconsin–Milwaukee, Milwaukee, WI, USA Affil./Addr. 2: Mathematics, California State University Northridge, Los Angeles, CA, USA Affil./Addr. 3: Computer Science, Tufts University, Medford, MA, USA
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A binary space partition tree is a data structure for the representation of a set of objects in space. It found an increasing number of applications over the last decades. In recent years, intensifying research focused on its combinatorial properties, which affect directly the efficiency of applications. Important advances were made on binary space partitions for disjoint line segments in the p...
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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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We consider the practical problem of constructing binary space partitions (BSPs) for a set S of n orthogonal, nonintersecting, two-dimensional rectangles in IR3 such that the aspect ratio of each rectangle in S is at most , for some constant 1. We present an n2O(plogn )-time algorithm to build a binary space partition of size n2O(plogn ) for S. We also show that if m of the n rectangles in S ha...
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ژورنال
عنوان ژورنال: Computational Geometry
سال: 1997
ISSN: 0925-7721
DOI: 10.1016/0925-7721(95)00045-3