1. An apparatus equipped to construct a three-dimensional, 3D, face model, comprising: a facial landmark detector to detect a plurality of landmarks of a face, and their locations, within each of a plurality of image frames; a model fitter coupled to the facial landmark detector to generate a 3D model of the face from a 3D model of a neutral face, in view of detected landmarks of the face and their locations within a first one of the plurality of image frames; and a model tracker coupled to the facial landmark detector and the model fitter to adjust the 3D model to track the face in subsequent image frames, successively adjusting the 3D model in view of detected landmarks of the face and their locations within each of successive ones of the plurality of image frames.