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Cardinal Neighbor Quadtree: a New Quadtree-based Structure for Constant-Time Neighbor Finding

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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Year of Publication: 2015
Authors:
Safwan W. Qasem, Ameur A. Touir
10.5120/ijca2015907501

Safwan W Qasem and Ameur A Touir. Article: Cardinal Neighbor Quadtree: a New Quadtree-based Structure for Constant-Time Neighbor Finding. International Journal of Computer Applications 132(8):22-30, December 2015. Published by Foundation of Computer Science (FCS), NY, USA. BibTeX

@article{key:article,
	author = {Safwan W. Qasem and Ameur A. Touir},
	title = {Article: Cardinal Neighbor Quadtree: a New Quadtree-based Structure for Constant-Time Neighbor Finding},
	journal = {International Journal of Computer Applications},
	year = {2015},
	volume = {132},
	number = {8},
	pages = {22-30},
	month = {December},
	note = {Published by Foundation of Computer Science (FCS), NY, USA}
}

Abstract

This paper presents a new quadtree structure: Cardinal Neighbor Quadtrees (CN-Quadtree), that allows finding neighbor quadrants in constant time regardless of their sizes. Gunter Schrack’s solution [1] was able to compute the location code of equal size neighbors in constant-time without guaranteeing their existence. The structure proposed by Aizawa [3][2][3]was able to determine the existence of equal or greater size neighbors and compute their location in constant time, to which the access-time complexity should be added. The proposed structure, the Cardinal Neighbor Quadtree, a pointer based data structure, can determine the existence, and access a smaller, equal or greater size neighbor in constant-time O(1). The time complexity reduction is obtained through the addition of only four pointers per leaf node in the quadtree.

References

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Keywords

CN-Quadrees; Image coding , neighbor finding.