3D imaging sensors for the acquisition of three dimensional faces have created, in recent years, a considerable degree of interest for a number of applications. Structured light camera/projector systems are often used to overcome the relatively uniform appearance of skin. In this paper, we propose a 3D acquisition solution with a 3D space-time non-rigid super-resolution capability, using three calibrated cameras coupled with a non calibrated projector device, which is particularly suited to 3D face scanning, i.e. rapid, easily movable and robust to ambient lighting conditions. The proposed solution is a hybrid stereovision and phase-shifting approach, using two shifted patterns and a texture image, which not only takes advantage of the assets of stereovision and structured light but also overcomes their weaknesses. The super-resolution process is performed to deal with 3D artifacts and to complete the 3D scanned view in the presence of small non-rigid deformations as facial expressions. The experimental results demonstrate the effectiveness of the proposed approach.