Deconvolved and deprojected surface density profiles fitted with frank, except for β Pic (HD 39060) which was fitted with rave. These profiles are based on the surface brightness profiles presented in Fig. 2, but offers a cleaner and simpler alternative to that figure which includes a more comprehensive summary of the different approaches used to model the radial structure in this study. The bars in each panel are the same as those described in Fig. 2.