Digital ridgelet reconstruction based on local dual frame

A global dual frame (GDF) representation for the digital ridgelet reconstruction algorithm is discussed and a novel concept of local dual frame (LDF) is presented. Based on the properties of LDF, we propose a new digital ridgelet reconstruction algorithm. The method reduces the redundancy in the digital ridgelet reconstruction while keeping the characteristics of low computation cost. When applying it to the image compression and denoising, good results are obtained.