Moving window pyramid-based ridgelet transform for image denoising

Wavelet transform has been successfully used in many applications such as image compression, image denoising, and computer vision. Recently, the research of image denoising focused on developing some new method which can represent the edge of image more efficiently. Ridgelets is a new system of representations, which deals effectively with line singularities in 2-D. In this paper, a simple algorithm is derived for the ridgelet transform of the center pixel of a three by three image. Then by embedding it into a moving window pyramid, the ridgelet transform-based multiscale image denoising is obtained. The high directional sensitivity of the ridgelet transform makes the proposed method a good choice for edge preserving. Experiments show that the new algorithm is effective.