Course: Mathematical Engineering
Date of thesis discussion: 12/2013
Application of differential geometry to 3D landmark-based face recognition and prenatal diagnosis
In this thesis, we perform a geometrical study of 3D faces. The most important points of the face, called facial landmarks, are described using the main elements of differential geometry. We also present two applications of facial landmarking. The first application is face recognition. Instead, the second one is in the medical field, where we have developed an algorithm that automatically localizes landmarks in fetal 3D ultrasounds and performs a prenatal diagnosis of cleft lip.