Comparison of the self-calibrating performance of the kernel-phase analysis of a single image for three discrete models of the same aperture. Each of the three panels features, side by side, a 2D representation of the discrete aperture model used and a plot of the kernels extracted from the image of a point source (the calibration error) in the presence of either coma (the orange curve) or a three-cycle sinusoidal aberration (the red curve) and how they compare to the signal of a 100:1 contrast binary (the blue curve). Top panels: reference binary model of the SCExAO pupil, with a 42 cm pitch; middle panel: denser model with a 21 cm pitch that more accurately matches the fine structures of the telescope; third panel: model that uses the original 42 cm pitch grid, but it includes the transmission function.