Rhinoplasty is a surgery to change the shape of the nose. Because both breathing and the nose's shape are interrelated, a rhinoplasty may sometimes be performed not only to change the way the nose looks but also to improve breathing through the nose.
Septoplasty is a surgery to improve breathing by straightening the wall inside the nose that divides the nasal passages into a right and a left side (nasal septum). When the septum is crooked, it can make it harder to breathe through the nose. A septoplasty is often combined with a rhinoplasty.