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

by Safwan W. Qasem, Ameur A. Touir
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 132 - Number 8
Year of Publication: 2015
Authors: Safwan W. Qasem, Ameur A. Touir
10.5120/ijca2015907501

Safwan W. Qasem, Ameur A. Touir . Cardinal Neighbor Quadtree: a New Quadtree-based Structure for Constant-Time Neighbor Finding. International Journal of Computer Applications. 132, 8 ( December 2015), 22-30. DOI=10.5120/ijca2015907501

@article{ 10.5120/ijca2015907501,
author = { Safwan W. Qasem, Ameur A. Touir },
title = { Cardinal Neighbor Quadtree: a New Quadtree-based Structure for Constant-Time Neighbor Finding },
journal = { International Journal of Computer Applications },
issue_date = { December 2015 },
volume = { 132 },
number = { 8 },
month = { December },
year = { 2015 },
issn = { 0975-8887 },
pages = { 22-30 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume132/number8/23615-2015907501/ },
doi = { 10.5120/ijca2015907501 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:28:48.250367+05:30
%A Safwan W. Qasem
%A Ameur A. Touir
%T Cardinal Neighbor Quadtree: a New Quadtree-based Structure for Constant-Time Neighbor Finding
%J International Journal of Computer Applications
%@ 0975-8887
%V 132
%N 8
%P 22-30
%D 2015
%I 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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Index Terms

Computer Science
Information Sciences

Keywords

CN-Quadrees Image coding neighbor finding.

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