Multiresolution image reconstruction using wavelets

Abstract

To overcome the problem of noise amplification during the image reconstruction process, we present a new method based on wavelet decomposition. After decomposing the raw image to be reconstructed into several wavelet planes and a residual image, we reconstruct each one independently using an iterative Maximum Likelihood algorithm. To control the processs, we stop the reconstruction of each one of the wavelet planes and the residual image at a different number of iterations. The inverse problem is then transformed into a multi-channel reconstruction problem. The method has been applied to a real image of the planet Saturn obtained by the non-refurbished Hubble Space Telescope.