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We have studied a sample of 101 bright 2MASS galaxies from the Large GalaxyAtlas (LGA), whose morphologies span from early to late-types. We havegenerated estimates for structural parameters through a two-dimensional (2D)surface brightness photometric decomposition in the three 2MASS bands (J, H,Ks). This work represents a detailed multi-component photometric study ofnearby galaxies. We report total magnitudes, effective radii, concentrationindices, among other parameters, in the three 2MASS bands. We found that theintegrated total magnitudes of early-type galaxies (ETGs) measured on 2MASS LGAmosaics are ~0.35 mag dimmer, when compared with images generated from IRSAimage tiles service; nevertheless, when comparing late-type galaxies (LTGs) wedid not find any difference. Therefore, for ETGs we present the results derivedon IRSA image tiles, while for LTGs we used data from the LGA mosaics.Additionally, by combining these structural parameters with scaling relationsand kinematic data, we separated classical bulges from pseudobulges. We foundthat ~40 % of the objects in our sample are classified as pseudobulges, whichare found preferentially in LTGs. Also, our findings confirm trends reportedearlier in the distributions for some physical parameters, such as S\'ersicindex, B/T and q ratios. In general, our results are in agreement with previousone-dimensional studies. In a companion paper, we revise some of the scalingrelations among global galaxy properties, as well as their interrelation withSupermassive Black Holes.

2D Surface Brightness Modelling of Large 2MASS Galaxies I: Photometry and Structural Parameters