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In this paper, we propose an image feature extraction method based on 3D chaotic attractor, and carry out face video recognition. By adjusting the auxiliary function, the feature point set is located on a plane in the 3D coordinate system. The experiment shows that the feature point set on the plane can extract face features better and recognize faces more efficiently. This method is faster and has higher recognition rate than the method that uses trigonometric function to iteratively generate image feature point set to recognize face in video.