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We present here a thorough photometric analysis of double-barred galaxies,consisting of i) two-dimensional photometric decompositions including a bulge,inner bar, outer bar, and (truncated) disc; and ii) three-dimensionalstatistical deprojections to derive the intrinsic shape of bulges, inner bars,and outer bars. This is the first time the combination of both techniques isapplied to a sample of double-barred galaxies. It represents a step forwardwith respect to previous works, which are based on properties of the integratedlight through ellipse fitting and unsharp masking. In this first paper of aseries of two, we analyse the nature of the dominant bulges withindouble-barred systems by using several photometric diagnostics, namely S\'ersicindex, Kormendy relation, colours, and the better suited intrinsic flattening.Our results indicate that almost all bulges in our sample are classical,whereas only 2 out of the 17 galaxies under study appear as potentialcandidates to host secularly-formed disc-like bulges. Such result poses thepossibility that having a central hot structure may be a requirement for innerbar formation.

Deconstructing double-barred galaxies in 2D and 3D. I. Classical nature of the dominant bulges