Before revision:  To this aim, we propose a novel formulation to learn a set of sparse deformation components with local support on the face that, together with an original non-rigid deformation algorithm, allow precisely fitting the 3DMM to arbitrary faces and transfer its semantic annotation  .
After revision:  To this aim, we propose a novel formulation to learn a set of sparse deformation components with local support on the face that, together with an original non-rigid deformation algorithm, allow precisely fitting the 3DMM to arbitrary faces and transfer its semantic annotation to arbitrary 3D faces .