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
fDate :
12/1/1998 12:00:00 AM
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;
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on
