1. Introduction
The parametric face/head model, which encodes the human face/head in low-dimensional space, is a hot re-search topic in computer vision and computer graphics and widely used in many applications like identity recog-nition [34], [52], face analysis [11], [64] and film/game production [47], etc. Early works of the parametric face/head model [3], [6], [11], [30], [41], [57] mainly model 3D faces with the topologically uniformed face template mesh and usually ignore to represent the non-face parts, such as hair and teeth. With the development of deep learning, 2D generative ad-versarial networks (GAN) [21], [22] are able to directly render photo-realistic face images without the help of 3D modeling. Some methods [5], [9], [14], [26], [36] further introduce semantically disentangled constraints to render the face images in a user-controlled way. However, their rendered results from different views often tend to be inconsistent as they do not explicitly encode or model 3D geometry.