Weighted apertures used for the simulations. The blue frames represent the simulation domain D. The red dots represent the regular grid of the actuators. The green dots represent the active actuators for a given aperture. Panel a: square aperture on the full simulated domain. Panel b: circular aperture of diameter D. Panel c: circular aperture of diameter 95%D. Panel d: VLT-like aperture with a central obscuration of 14%D and vane width of 1%D relative to the aperture diameter of 97.5%D.