Wavelet domain astronomical multiband image fusion and restoration using Markov quadtree and copulas

The technique described above was tested on real astronomical multiband images of high-z galaxies from the Hubble Deep Field observed with the Hubble Space Telescope at six wavelengths, from the rest-frame FUV to I band (Fig.3). We perform a wavelet transform on 4 levels for each band using the pyramidal algorithm. The final restored fused image using different fusion rules are presented in Fig.4. Rules 1 and 2 clearly outperform rule 3 and the simple band averaging. The fused image summarizes the main properties of the object in a single de-noised picture and highlighting the galaxy global structure.