Wavelet atoms approximation for simultaneous image compression and de-noising

WISDOW-Comp is a scheme for simultaneous image compression and denoising. Its key issue consists of firstly expanding the input image in a basis of wavelets. The corresponding coefficients can be then seen as waves that travel through both space and scales. Thus the overlapping effects principle can be applied to manage waves interference. Each atom is characterized by the amplitude and the location of its absolute modulus maximum. This powerful representation allows us to sent to the decoder just the low pass component of the image and the significance map of atoms absolute maxima for achieving a denoised image. Experimental results show that the proposed comp-denoiser outperforms the state of the art in terms of both rate and distortion.