On the accuracy of Zernike moments for image analysis

Authors
Liao, SX Pawlak, M
Citation
Sx. Liao et M. Pawlak, On the accuracy of Zernike moments for image analysis, IEEE PATT A, 20(12), 1998, pp. 1358-1364
Citations number
18
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE
ISSN journal
01628828 → ACNP
Volume
20
Issue
12
Year of publication
1998
Pages
1358 - 1364
Database
ISI
SICI code
0162-8828(199812)20:12<1358:OTAOZM>2.0.ZU;2-5
Abstract
In this paper, we give a detailed analysis of the accuracy of Zernike momen ts in terms of their discretization errors and the reconstruction power. It is found that there is an inherent limitation in the precision of computin g the Zernike moments due to the geometric nature of a circular domain. Thi s is explained by relating the accuracy issue to a celebrated problem in an alytic number theory of evaluating the lattice points within a circle.