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Wavelet frame based model is one of the most successful methods in image restoration due to its good capability of sparsely approximating piece-wise smooth functions such as images.In this talk,we present an edge driven wavelet frame based image restoration model for image restoration which treats an image as an approximation of piecewise smooth function.We introduce our wavelet frame model in the discrete setting,present numerical simulation results,and introduce a variational model to which our discrete model converges as the resolution goes to infinity.