Galaxy Structural Analysis with the Curvature of the Brightness Profile
  In this work we introduce the curvature of a galaxy brightness profile to
identify its structural subcomponents in a non-parametrically fashion. Bulges,
bars, disks, lens, rings and spiral arms are key to understand the formation
and evolution path the galaxy undertook. Identifying them is also crucial for
morphological classification of galaxies. We measure and analyse in detail the
curvature of $14$ galaxies with varied morphology. High (low) steepness
profiles show high (low) curvature measures. Transitions between components are
identified as local peaks oscillations in the values of the curvature. We
identify patterns that characterise bulges (pseudo or classic), disks, bars and
rings. This method can be automated to identify galaxy components in large
datasets or to provide a reliable starting point for traditional multicomponent
modelling of galaxy light distribution.
