DocumentCode
1450777
Title
On the accuracy of Zernike moments for image analysis
Author
Liao, Simon X. ; Pawlak, Miroslaw
Author_Institution
Dept. of Bus. Comput., Winnipeg Univ., Man., Canada
Volume
20
Issue
12
fYear
1998
fDate
12/1/1998 12:00:00 AM
Firstpage
1358
Lastpage
1364
Abstract
We give a detailed analysis of the accuracy of Zernike moments in terms of their discretization errors and the reconstruction power. It is found that there is an inherent limitation in the precision of computing the Zernike moments due to the geometric nature of a circular domain. This is explained by relating the accuracy issue to a celebrated problem in analytic number theory of evaluating the lattice points within a circle
Keywords
computational geometry; error analysis; image reconstruction; method of moments; Zernike moments; accuracy; circular domain; discretization errors; geometric error; image analysis; image reconstruction; lattice points; Analog computers; Character recognition; Error analysis; Feature extraction; Image analysis; Image recognition; Image reconstruction; Lattices; Polynomials; Shape;
fLanguage
English
Journal_Title
Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publisher
ieee
ISSN
0162-8828
Type
jour
DOI
10.1109/34.735809
Filename
735809
Link To Document