Modeling images of the Quiet Sun in the extreme ultra-violet

We address the statistical modeling of solar images provided by the Extreme ultraviolet Imaging Telescope (EIT) onboard the Solar and Heliospheric Observatory (SoHO, a joint ESA/NASA mission). We focus in particular on the less structured regions, the “Quiet Sun”. We first review on a brief historical viewpoint on multifractal processes for physical modeling. Then we present a multifractal analysis of Quiet Sun images. Our aim is to identify a model that would permit to simulate images that are similar to real ones, and to use the scale invariance property to obtain artificial images at any finer resolution. We compare various families of models including infinitely divisible cascades and fractional stable fields that permit to synthesize images that are statistically similar to Quiet Sun images. This modeling will assist in promoting forthcoming high resolution observations by analysing sub-pixel variability in today’s solar corona images.