3D facial shape reconstruction in the wild environments is an important research task in the field of CG and CV. This is because it can be applied to a lot of products, such as 3DCG video games and face recognition. One of the most popular 3D facial shape reconstruction techniques is 3D Model-based approach. This approach approximates a facial shape by using 3D face model, which is calculated by principal component analysis. [Blanz and Vetter 1999] performed a 3D facial reconstruction by fitting points from facial feature points of an input of single facial image to vertex of template 3D facial model named 3D Morphable Model. This method can reconstruct a facial shape from a variety of images which include different lighting and face orientation, as long as facial feature points can be detected. However, representation quality of the result depends on the number of 3D model resolution.