  Recent developments in astronomical observations enable direct imaging of
circumstellar disks. Precise characterization of such extended structure is
essential to our understanding of stellar systems. However, the faint intensity
of the circumstellar disks compared to the brightness of the host star compels
astronomers to use tailored observation strategies, in addition to
state-of-the-art optical devices. Even then, extracting the signal of
circumstellar disks heavily relies on post-processing techniques. In this work,
we propose a morphological component analysis (MCA) approach that leverages
low-complexity models of both the disks and the stellar light corrupting the
data. In addition to disks, our method allows to image exoplanets. Our approach
is tested through numerical experiments.
