Table 4. Results of the hkaAICnorm MATLAB script on the modest amount of noise added pattern that underlies Fig. 5 ▸ for geometric model selection by G-AIC value minimization using inequality (9b) .

Plane symmetry group to which the image data have been symmetrized	Sum of squared residuals of complex Fourier coefficients	Sum of squared residuals of Fourier coefficient amplitudes	No. of Fourier coefficients in the geometric model of the image data
p2	0.0041	none	665
p1m1	1.7207	0.0041	654
p11m	1.7210	0.0041	654
p1g1	0.0059	0.0041	652
p11g	0.0066	0.0041	652
c1m1	0.0081	0.0043	655
c11m	0.0081	0.0043	655
p3	2.0554	1.3052	685
p2gg	0.0066	0.0041	650
c2mm	0.0102	0.0043	655
p4	0.0040	0.0015	648
p4mm	1.7934	0.0050	644
p4gm	0.0074	0.0050	640