Fig. 1. Orthogonal radial polynomials: (a) Zernike polynomials with the degrees n=10–28 for circular harmonic order m=10, (b) orthogonal Fourier-Mellin polynomials with the degrees n=0–9.

Fig. 2. (a) Original image of a letter E in the unit disk; (b) reconstructed from first 64 orthogonal Fourier-Mellin moments Φn,m with n, m=0–7; (c) reconstructed from Zernike moments Rn,m with circular harmonic orders m=0–7 and for each m using the eight lowest degrees, satisfying n≥|m|+2.

Fig. 3. Shifted Chebyshev polynomial Rn(r) with n=1, 2, 9, 10, [25]

Fig. 4. Bessel Radial polynomial J1(λnr) with n=0,1,…,9, [28].