# Galaxy Structural Analysis with the Curvature of the Brightness Profile

## TL;DR

This paper introduces a novel non-parametric method using curvature of brightness profiles to identify galaxy structural components, aiding in morphological classification and analysis of galaxy formation and evolution.

## Contribution

The study presents a new curvature-based technique for detecting galaxy subcomponents that can be automated for large datasets and improve traditional modeling approaches.

## Key findings

- Curvature correlates with profile steepness, distinguishing galaxy components.
- Transitions between components appear as local peaks in curvature.
- Patterns identified for bulges, disks, bars, and rings.

## Abstract

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.