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Novel quaternion discrete shifted Gegenbauer moments of fractional-orders for color image analysis

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  • Hosny, Khalid M.
  • Darwish, Mohamed M.

Abstract

Orthogonal moments (OMs) are used to extract features from color images. OMs with fractional orders are better than the OMs with integer orders due to their ability to extract fine features. This paper defined novel quaternion orthogonal shifted Gegenbauer moments (FrQSGMs) of fractional orders for color image analysis and recognition. Since both shifted Gegenbauer polynomials and the input digital images are defined in the domain [0, 1] × [0, 1], the proposed FrQSGMs did not need any image mapping or image interpolation. The invariance to geometric transformations of the proposed FrQSGMs is derived by expressing these moments in geometric moment invariants of fractional order. We conduct various experiments to test the accuracy, invariance to RST, sensitivity to noise, recognition of similar color images, and computational times. The proposed descriptors outperformed the existing orthogonal moments with fractional orders.

Suggested Citation

  • Hosny, Khalid M. & Darwish, Mohamed M., 2022. "Novel quaternion discrete shifted Gegenbauer moments of fractional-orders for color image analysis," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    • Handle: RePEc:eee:apmaco:v:421:y:2022:i:c:s0096300322000121
    DOI: 10.1016/j.amc.2022.126926
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    References listed on IDEAS

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    1. Deng, An-Wen & Gwo, Chih-Ying, 2018. "Fast and stable algorithms for high-order Pseudo Zernike moments and image reconstruction," Applied Mathematics and Computation, Elsevier, vol. 334(C), pages 239-253.
    2. Wang, Xiang-yang & Li, Wei-yi & Yang, Hong-ying & Wang, Pei & Li, Yong-wei, 2015. "Quaternion polar complex exponential transform for invariant color image description," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 951-967.
    3. Wang, Chunpeng & Hao, Qixian & Ma, Bin & Li, Jian & Gao, Hongling, 2021. "Fractional-order quaternion exponential moments for color images," Applied Mathematics and Computation, Elsevier, vol. 400(C).
    4. Liang Hua & Yujian Qiang & Juping Gu & Ling Chen & Xinsong Zhang & Hairong Zhu, 2015. "Mechanical Fault Diagnosis Using Color Image Recognition of Vibration Spectrogram Based on Quaternion Invariable Moment," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-11, September.
    5. Kashkari, Bothayna S.H. & Syam, Muhammed I., 2016. "Fractional-order Legendre operational matrix of fractional integration for solving the Riccati equation with fractional order," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 281-291.
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