Since inefficient representation for details with Pyramid decomposition in Curvelet transform

we propose a new image denoising method

which extracts details by Digital TV filter and then applies Ridgelet transform to it.The Ridgelet transform here is based on Fractional Fourier transform and Projection-Slice theorem

and its coefficients are thresholded according to Minimax error criterion of wavelet.The Digital TV filter

compared with Pyramid decomposition

facilitates denoising in Ridgelet domain because it simplifies image decomposition and obtains a single image containing all edge information.Experiments show that our approach performs better than Ridgelet and Curvelet transform in protecting edges and reducing noise

and it eliminates oscillating patterns near edges.Furthermore

its computation is less fairly than Curvelet transform.