Three dimensional (3D) face recognition is a topic getting increasing interest in biometric applications. In our
research framework we developed a laser scanner that provides 3D cloud information and texture data. In
a user scenario with cooperative subjects with indoor light conditions, we address three problems of 3D face
biometrics: the face registration, the formulation of a shape space together with a special designed gradient
algorithm and the impact of initial approximation to the convergence of a registration algorithm. By defining
the face registration as a problem of aligning a 3D data cloud with a predefined reference template, we solve the
registration problem with a second order gradient algorithm working on a shape space designed for reducing the
computational complexity of the method.