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Barred galaxies have interesting morphological features whose presence andproperties set constraints on galactic evolution. Here we examine barlenses,i.e. lens-like components whose extent along the bar major axis is shorter thanthat of the bar and whose outline is oval or circular. We identify and analysebarlenses in $N$-body plus SPH simulations, compare them extensively with thosefrom the NIRS0S (Near-IR S0 galaxy survey) and the S$^4$G samples (SpitzerSurvey of Stellar Structure in Galaxies) and find very good agreement. Weobserve barlenses in our simulations from different viewing angles. Thisreveals that barlenses are the vertically thick part of the bar seen face-on,i.e. a barlens seen edge-on is a boxy/peanut/X bulge. In morphological studies,and in the absence of kinematics or photometry, a barlens, or part of it, maybe mistaken for a classical bulge. Thus the true importance of classicalbulges, both in numbers and mass, is smaller than currently assumed, which hasimplications for galaxy formation studies. Finally, using the shape of theisodensity curves, we propose a rule of thumb for measuring the barlens extentalong the bar major axis of moderately inclined galaxies, thus providing anestimate of which part of the bar is thicker.

On the nature of the barlens component in barred galaxies: what do boxy/peanut bulges look like when viewed face-on?