%0 Journal Article %1 Liao1998 %A Liao, Simon X. %A Pawlak, Miroslow %C Los Alamitos, CA, USA %D 1998 %I IEEE Computer Society %J IEEE Transactions on Pattern Analysis and Machine Intelligence %K Zernike circle error, geometric image lattice moments, points, problem, reconstruction %N 12 %P 1358--1364 %R 10.1109/34.735809 %T On the Accuracy of Zernike Moments for Image Analysis %V 20 %X n this paper, 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.

@article{Liao1998, abstract = {n this paper, 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.}, added-at = {2011-03-27T19:47:06.000+0200}, address = {Los Alamitos, CA, USA}, author = {Liao, Simon X. and Pawlak, Miroslow}, biburl = {https://www.bibsonomy.org/bibtex/2c6d023c6786aff12ce4e98a62cff51ce/cocus}, doi = {10.1109/34.735809}, interhash = {614c72d03ddd7fb64561cb544b2c5e22}, intrahash = {c6d023c6786aff12ce4e98a62cff51ce}, journal = {{IEEE} Transactions on Pattern Analysis and Machine Intelligence}, keywords = {Zernike circle error, geometric image lattice moments, points, problem, reconstruction}, number = 12, owner = {CK}, pages = {1358--1364}, publisher = {{IEEE} Computer Society}, timestamp = {2011-03-27T19:47:10.000+0200}, title = {On the Accuracy of Zernike Moments for Image Analysis}, volume = 20, year = 1998 }