Results 1 
2 of
2
Binary space partitions for fat rectangles
 in: Proc. 37th Annu. IEEE Sympos. Found. Comput. Sci
, 1996
"... sizen2O(plogn) We consider the practical problem of constructing binary space partitions (BSPs) for a setSofnorthogonal, nonintersecting, twodimensional rectangles inIR3such that the aspect ratio of each rectangle inSis at most, for some constant1. We present ann2O(plogn)time algorithm to build a ..."
Abstract

Cited by 23 (6 self)
 Add to MetaCart
sizen2O(plogn) We consider the practical problem of constructing binary space partitions (BSPs) for a setSofnorthogonal, nonintersecting, twodimensional rectangles inIR3such that the aspect ratio of each rectangle inSis at most, for some constant1. We present ann2O(plogn)time algorithm to build a binary space partition of forS. We also show that ifmof thenrectangles inShave aspect ratios greater than, we can construct a BSP of sizenpm2O(plogn)forSinnpm2O(plogn)time. The constants of proportionality in the bigoh terms are linear inlog. We extend these results to cases in which the input contains nonorthogonal or intersecting objects.
Practical techniques for constructing binary space partitions for orthogonal rectangles
 In Proc. 13th Annu. ACM Sympos. Comput. Geom
, 1997
"... We present the rst systematic comparison of the performance of algorithms that construct Binary Space Partitions for orthogonal rectangles in R 3. We compare known algorithms with our implementation of a variant of a recent algorithm of Agarwal et al. [1]. We show via an empirical study that their a ..."
Abstract

Cited by 11 (0 self)
 Add to MetaCart
We present the rst systematic comparison of the performance of algorithms that construct Binary Space Partitions for orthogonal rectangles in R 3. We compare known algorithms with our implementation of a variant of a recent algorithm of Agarwal et al. [1]. We show via an empirical study that their algorithm constructs BSPs of nearlinear size in practice and performs better than most of the other algorithms in the literature. 1