Influence of the extended PSF (I_E on top and H_E on bottom) on surface brightness profiles of Type I (right), Type II (middle), and Type III (left): the green line is the I_E PSF (Cuillandre et al. 2025a); the purple lines give the initial profile which is pure simple exponential for Type I or double exponential for Type II; the blue lines correspond to the profile from the convolution of the initial profile and the PSF.