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Due to Multimedia application and demand of realistic animation in movie/game development requires advanced techniques for character generation and dynamic movement of these characters to create realistic scene. These applications need the construction of 3D model of character specifically face and it is followed by animation. In many applications a person specific 3D face model is required. Generally, many views or images of face are required to construct a 3D model of it. Many times it is not possible to obtain many views of a face. In such cases, there is a need to develop a 3D face model from a single view face image. In this paper we have proposed an algorithm which automatically constructs a 3D model using generic face model and single view face image. Our proposed algorithm first extracts features like eyes, mouth, eyebrows, nose etc and also determines the pose of given single view face image to adapt a generic 3D face model in accordance with given face image to construct person specific 3D face model. The 3D specific face can finally be synthesized by texturing the individualized face model. Our algorithm successfully construct 3D model from the face image which may have different orientation, different illumination, head with hair and eyes with spectacle.