Image analysis by BesselFourier moments
In this paper, we proposed a new set of moments based on the Bessel function of the first kind, named BesselFourier moments (BFMs), which are more suitable than orthogonal FourierMellin and Zernike moments for image analysis and rotation invariant pattern recognition. Compared with orthogonal FourierMellin and Zernike polynomials of the same degree, the new orthogonal radial polynomials have more zeros, and these zeros are more evenly distributed. The BesselFourier moments can be thought of as generalized orthogonalized complex moments. Theoretical and experimental results show that the BesselFourier moments perform better than the orthogonal FourierMellin and Zernike moments (OFMMs and ZMs) in terms of image reconstruction capability and invariant recognition accuracy in noise-free, noisy and smooth distortion conditions.
bessel function images reconstruction orthogonal moments image recognition invariant moments