On Image Analysis by the Methods of Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
On the Accuracy of Zernike Moments for Image Analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence
Content-based trademark retrieval system using visually salient features
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
On the computational aspects of Zernike moments
Image and Vision Computing
Character Reconstruction with Radial-Harmonic-Fourier Moments
FSKD '07 Proceedings of the Fourth International Conference on Fuzzy Systems and Knowledge Discovery - Volume 03
Two-Dimensional Polar Harmonic Transforms for Invariant Image Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Accurate Computation of Zernike Moments in Polar Coordinates
IEEE Transactions on Image Processing
Error Analysis in the Computation of Orthogonal Rotation Invariant Moments
Journal of Mathematical Imaging and Vision
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Various radial moments viz. Zernike moments, pseudo Zernike moments, orthogonal Fourier Mellin moments, radial harmonic Fourier moments, Chebyshev-Fourier moments and polar harmonic transforms such as polar complex exponential transforms, polar cosine transforms and polar sine transforms satisfy orthogonal principle. By virtue of which these moments and transforms possess minimum information redundancy and thereby exhibit a good characteristic of image representation. In this paper, a complete comparative analysis is performed by considering image reconstruction capability of each individual moment and transform. The orthogonal properties of above mentioned moments along with the causes of their, reconstruction error, numerical stability and invariance are described.