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.
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