Computation of 2D Discrete Geometric Moments on Quadtrees

Paola Magillo, Lidija Čomić

2025

Abstract

We address the problem of computing discrete geometric moments on 2D binary images encoded in the quadtree data structure. We do this by precomputing central moments of the squares of side length 2k, and using the connection between ordinary and central moments. Compared with the state of the art for images encoded as quadtrees, our method considerably improves the efficiency of moment computation.

Paper Citation

in Harvard Style

Magillo P. and Čomić L. (2025). Computation of 2D Discrete Geometric Moments on Quadtrees. In Proceedings of the 14th International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM; ISBN 978-989-758-730-6, SciTePress, pages 17-22. DOI: 10.5220/0013119400003905

in Bibtex Style

@conference{icpram25,
author={Paola Magillo and Lidija Čomić},
title={Computation of 2D Discrete Geometric Moments on Quadtrees},
booktitle={Proceedings of the 14th International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM},
year={2025},
pages={17-22},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0013119400003905},
isbn={978-989-758-730-6},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 14th International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM
TI - Computation of 2D Discrete Geometric Moments on Quadtrees
SN - 978-989-758-730-6
AU - Magillo P.
AU - Čomić L.
PY - 2025
SP - 17
EP - 22
DO - 10.5220/0013119400003905
PB - SciTePress