Size-luminosity diagram for HAeBe stars (Monnier & Millan-Gabet 2002). Blue dots: data taken from Monnier et al. (2005). Red square: HD 144432 (ring-fit K-band radius of the star-ring-halo uninclined model). Dark-green square: HD 144432 (ring-fit K-band radius of the star-ring uninclined model). The error bars of the radii for HD 144432 represent only the uncertainties in the visibilty measurements, and do not include the distance uncertainty. Lines: theoretical dust sublimation radius for gray dust and three different dust sublimation temperatures. Predictions of models including backwarming are discussed in Sect. 4.