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
Efficient computation of radial moment functions using symmetrical property
Pattern Recognition
Fast Zernike wavelet moments for Farsi character recognition
Image and Vision Computing
EURASIP Journal on Applied Signal Processing
Subpixel edge location based on orthogonal Fourier-Mellin moments
Image and Vision Computing
Fast computation of geometric moments using a symmetric kernel
Pattern Recognition
Orthogonal moments based texture analysis of CT liver images
Pattern Recognition Letters
Invariant image watermark using Zernike moments
IEEE Transactions on Circuits and Systems for Video Technology
A systematic method for efficient computation of full and subsets Zernike moments
Information Sciences: an International Journal
Image representation using accurate orthogonal Gegenbauer moments
Pattern Recognition Letters
Fast computation of exact Zernike moments using cascaded digital filters
Information Sciences: an International Journal
Fast computation of accurate Gaussian-Hermite moments for image processing applications
Digital Signal Processing
Error analysis and accurate calculation of rotational moments
Pattern Recognition Letters
Information Sciences: an International Journal
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Fast and accurate method is proposed for radial moment's computation. Exact radial moments are computed as a linear combination of exact geometric moments. The digital image is transformed to be inside the unit circle, where the transformed image is divided into four quadrants. Based on the symmetry property; only one quadrant of transformed image is needed to compute the whole set of moments. This leads to significant reduction in the computational complexity requirements. The proposed method completely removes the approximation errors and tremendously reduced the computational demands. Numerical experiments are performed, where the obtained results are compared with the approximated values. The obtained results clearly explained the efficiency of the proposed method.