关键词: 图像去噪, 图像插值, 分形图像编码, Cycle Spinning算法

Abstract: In this paper，a simple and effective fractal-wavelet simultaneous image de-noising and interpolation scheme is proposed.The de-noising is performed during the encoding process while the interpolation is performed during the decoding process.The fractal-based image denoising involves predicting the fractal code of the original noiseless image from the statistics of the noisy observation.This fractal code can then be used to generate a fractal-wavelet denoised estimate of the original image.The fractal-wavelet interpolation can be easily achieved during the decoding process by performing a suitable number of additional fractal-wavelet extrapolation steps.The cycle spinning algorithm can also be incorporated in the proposed fractal-wavelet joint denoising and resizing scheme in order to reduce some of the artifacts and enhance the visual quality of the denoised and resized estimates.The experiment results indicate that this method is the best in the field of simultaneous image denoising，compression and interpolation.Incorporating cycle spinning algorithm can get better visual effect and high PSNR value.

Key words: image denoising, image interpolation, fractal image coding, Cycle Spinning algorithm