Abstract：A novel denoising model for texture images is proposed, which is the soft threshold algorithm depending on both the smoothing parameter in Besov spaces and the scales of wave atoms. This model well considers the good properties of new multiscale geometric analysis tool—wave atoms, such as the flexible choice of the orthonormal basis and tight frames, sparse representation of the oscillatory texture images, as well as parabolic scaling between wavelength and the size of the essential support. Numerical experiments show that the proposed model not only has a better denoising performance comparing to the hard and soft threshold, but also significantly improves the SNR with the increase of the smoothing parameter in Besov spaces.
2009, Vol. 31 
