Fractal interpolation for natural images

This paper proposes a fractal interpolation for natural images. Generally, linear interpolation and spline interpolation are used for image interpolation. However, an image interpolated by the above conventional methods loses some high-frequency components of an original image. The loss of components lowers fidelity of the interpolated images. Since the proposed method reduces the loss, an interpolated image generated by the proposed method has higher fidelity than the one generated by the conventional method. The reduction of the loss is realized by using the fractional Brownian motion (FBM) in a process of the interpolation. The proposed method uses a characteristic that the fractal dimension is strongly correlated with a sense of roughness.