Unnikrishnan, A and Venkatesh, YV and Shankar, P
(1987)
*Distribution of black nodes at various levels in a linear quadtree.*
In: Pattern Recognition Letters, 6
(5).
pp. 341-342.

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## Abstract

The distribution of black leaf nodes at each level of a linear quadtree is of significant interest in the context of estimation of time and space complexities of linear quadtree based algorithms. The maximum number of black nodes of a given level that can be fitted in a square grid of size 2n × 2n can readily be estimated from the ratio of areas. We show that the actual value of the maximum number of nodes of a level is much less than the maximum obtained from the ratio of the areas. This is due to the fact that the number of nodes possible at a level k, 0≤k≤n − 1, should consider the sum of areas occupied by the actual number of nodes present at levels k + 1, k + 2, …, n − 1.

Item Type: | Journal Article |
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Related URLs: | |

Additional Information: | Copyright of this article belongs to Elsevier Science. |

Department/Centre: | Others |

Date Deposited: | 30 May 2009 18:50 |

Last Modified: | 22 Oct 2010 10:03 |

URI: | http://eprints.iisc.ernet.in/id/eprint/20295 |

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