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  • 1.
    Wang, Chunpeng
    et al.
    Qilu University of Technology (Shandong Academy of Sciences), Jinan, China; Dalian University of Technology, Dalian, China.
    Wang, Xingyuan
    Dalian Maritime University, Dalian, China; Dalian University of Technology, Dalian, China.
    Li, Yongwei
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Information Systems and Technology.
    Xia, Zhiqiu
    Dalian University of Technology, Dalian, China.
    Zhang, Chuan
    Dalian University of Technology, Dalian, China.
    Quaternion polar harmonic Fourier moments for color images2018In: Information Sciences, ISSN 0020-0255, E-ISSN 1872-6291, Vol. 450, p. 141-156Article in journal (Refereed)
    Abstract [en]

    This paper proposes quaternion polar harmonic Fourier moments (QPHFM) for color image processing and analyzes the properties of QPHFM. After extending Chebyshev–Fourier moments (CHFM) to quaternion Chebyshev-Fourier moments (QCHFM), comparison experiments, including image reconstruction and color image object recognition, on the performance of QPHFM and quaternion Zernike moments (QZM), quaternion pseudo-Zernike moments (QPZM), quaternion orthogonal Fourier-Mellin moments (QOFMM), QCHFM, and quaternion radial harmonic Fourier moments (QRHFM) are carried out. Experimental results show QPHFM can achieve an ideal performance in image reconstruction and invariant object recognition in noise-free and noisy conditions. In addition, this paper discusses the importance of phase information of quaternion orthogonal moments in image reconstruction. 

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