Matrix computations (3rd ed.)
Image analysis by discrete orthogonal hahn moments
ICIAR'05 Proceedings of the Second international conference on Image Analysis and Recognition
Image analysis by Tchebichef moments
IEEE Transactions on Image Processing
Image analysis by Krawtchouk moments
IEEE Transactions on Image Processing
A unified methodology for the efficient computation of discrete orthogonal image moments
Information Sciences: an International Journal
Feature-based watermarking using discrete orthogonal Hahn moment invariants
Proceedings of the 7th International Conference on Frontiers of Information Technology
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IEEE Transactions on Image Processing
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Pattern Recognition
Radial Tchebichef moment invariants for image recognition
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Digital Signal Processing
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This paper shows how Hahn moments provide a unified understanding of the recently introduced Chebyshev and Krawtchouk moments. The two latter moments can be obtained as particular cases of Hahn moments with the appropriate parameter settings, and this fact implies that Hahn moments encompass all their properties. The aim of this paper is twofold: 1) To show how Hahn moments, as a generalization of Chebyshev and Krawtchouk moments, can be used for global and local feature extraction, and 2) to show how Hahn moments can be incorporated into the framework of normalized convolution to analyze local structures of irregularly sampled signals.