Sensors, Vol. 21, Pages 1544: Invariant Image Representation Using Novel Fractional-Order Polar Harmonic Fourier Moments

Sensors, Vol. 21, Pages 1544: Invariant Image Representation Using Novel Fractional-Order Polar Harmonic Fourier Moments
Sensors doi: 10.3390/s21041544
Authors:
Chunpeng Wang
Hongling Gao
Meihong Yang
Jian Li
Bin Ma
Qixian Hao

Continuous orthogonal moments, for which continuous functions are used as kernel functions, are invariant to rotation and scaling, and they have been greatly developed over the recent years. Among continuous orthogonal moments, polar harmonic Fourier moments (PHFMs) have superior performance and strong image description ability. In order to improve the performance of PHFMs in noise resistance and image reconstruction, PHFMs, which can only take integer numbers, are extended to fractional-order polar harmonic Fourier moments (FrPHFMs) in this paper. Firstly, the radial polynomials of integer-order PHFMs are modified to obtain fractional-order radial polynomials, and FrPHFMs are constructed based on the fractional-order radial polynomials; subsequently, the strong reconstruction ability, orthogonality, and geometric invariance of the proposed FrPHFMs are proven; and, finally, the performance of the proposed FrPHFMs is compared with that of integer-order PHFMs, fractional-order radial harmonic Fourier moments (FrRHFMs), fractional-order polar harmonic transforms (FrPHTs), and fractional-order Zernike moments (FrZMs). The experimental results show that the FrPHFMs constructed in this paper are superior to integer-order PHFMs and other frac...

Source: Sensors - February 23, 2021 Category: Biotechnology Authors: Chunpeng Wang Hongling Gao Meihong Yang Jian Li Bin Ma Qixian Hao Tags: Article Source Type: research