Errata and comments on “Errata and comments on Orthogonal moments based on exponent functions: Exponent-Fourier moments”

Hu, Haitao; Ju, Quan; Shao, Chao

doi:10.1016/j.patcog.2015.10.005

Cited by 10 publications

(1 citation statement)

References 8 publications

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“…However, the higher computational complexity still exists in the proposed fractional order orthogonal moments. On the other hand, trigonometric functions based radial orthogonal moments like exponent‐Fourier moments (EFMs), 13,14 polar harmonic transforms (PHTs) 15 , and radial harmonic‐Fourier moments (RHFMs) have commonly capability in representing images and also have much less time consuming than some moments based on polynomials. Recently, Wang and Xia et al 16‐19 have done many interesting research works using RHFMs, PHTs and EFMs in zero digital watermarking and color image analysis fields.…”

Section: Introductionmentioning

confidence: 99%

Image analysis by fast improved radial harmonic‐Fourier moments algorithm

Cui

Peng

et al. 2020

Int J Imaging Syst Tech

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Radial harmonic‐Fourier moments (RHFMs) are popular for image reconstruction and invariant pattern recognition due to their properties of translation, scaling and rotation invariant. RHFMs possess lower computation complexity as compared to Zernike moments and Bessel‐Fourier moments. However, they always suffer from discontinuity, numerical instability near the center of image, and reconstruction error, especially have a rise for higher order of moments. In this paper, an improvement of radial harmonic‐Fourier moments (IRHFMs) is proposed for effectively avoiding the above‐mentioned problems.In this paper, a 2D fast Fourier transform algorithm also is applied to the image matrix to obtain the IRHFMs. Simulation experimental results demonstrate the proposed IRHFMs perform better than traditional RHFMs and other classic orthogonal moments including the latest image moments, for example, polar harmonic Fourier moments in terms of the image reconstruction capability and rotation invariant recognition accuracy in noise‐free and noisy conditions.

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Section: Introductionmentioning

confidence: 99%