On Image Analysis by the Methods of Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
Invariant Image Recognition by Zernike Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
Zernike moment-based image analysis and its application
Pattern Recognition Letters
FGR '02 Proceedings of the Fifth IEEE International Conference on Automatic Face and Gesture Recognition
New computational methods for full and subset Zernike moments
Information Sciences—Informatics and Computer Science: An International Journal - Mining stream data
Automated Optic Nerve Analysis for Diagnostic Support in Glaucoma
CBMS '05 Proceedings of the 18th IEEE Symposium on Computer-Based Medical Systems
Peg-Free Hand Shape Verification Using High Order Zernike Moments
CVPRW '06 Proceedings of the 2006 Conference on Computer Vision and Pattern Recognition Workshop
Accurate and efficient computation of high order zernike moments
ISVC'05 Proceedings of the First international conference on Advances in Visual Computing
Stereo effect of image converted from planar
Information Sciences: an International Journal
Robust image watermarking using local Zernike moments
Journal of Visual Communication and Image Representation
A unified methodology for the efficient computation of discrete orthogonal image moments
Information Sciences: an International Journal
Orthogonal variant moments features in image analysis
Information Sciences: an International Journal
A systematic method for efficient computation of full and subsets Zernike moments
Information Sciences: an International Journal
Fast and numerically stable methods for the computation of Zernike moments
Pattern Recognition
A study of Zernike invariants for content-based image retrieval
PSIVT'07 Proceedings of the 2nd Pacific Rim conference on Advances in image and video technology
Neuro-fuzzy-based biometric system using speech features
International Journal of Biometrics
Algorithms for fast computation of Zernike moments and their numerical stability
Image and Vision Computing
Fast computation of exact Zernike moments using cascaded digital filters
Information Sciences: an International Journal
Mammogram retrieval through machine learning within BI-RADS standards
Journal of Biomedical Informatics
Mammogram retrieval on similar mass lesions
Computer Methods and Programs in Biomedicine
Performance evaluation of moment-based watermarking methods: A review
Journal of Systems and Software
Traffic-Signs Recognition System Based on FCM and Content-Based Image Retrieval
International Journal of Digital Library Systems
Generalized dual Hahn moment invariants
Pattern Recognition
Accurate calculation of Zernike moments
Information Sciences: an International Journal
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A Modified Direct Method for the computation of the Zernike moments is presented in this paper. The presence of many factorial terms, in the direct method for computing the Zernike moments, makes their computation process a very time consuming task. Although the computational power of the modern computers is impressively increasing, the calculation of the factorial of a big number is still an inaccurate numerical procedure. The main concept of the present paper is that, by using Stirling's Approximation formula for the factorial and by applying some suitable mathematical properties, a novel, factorial-free direct method can be developed. The resulted moments are not equal to those computed by the original direct method, but they are a sufficiently accurate approximation of them. Besides, their variability does not affect their ability to describe uniquely and distinguish the objects they represent. This is verified by pattern recognition simulation examples.