  In the past decade, HCI surveys provided new insights about the frequency and
properties of substellar companions at separation larger than 5 au. In this
context, our study aims to detect and characterise potential exoplanets and
brown dwarfs within debris disks, by considering the SHARDDS survey, which
gathers 55 Main Sequence stars with known bright debris disk. We rely on the
AutoRSM framework to perform an in-depth analysis of the targets, via the
computation of detection maps and contrast curves. A clustering approach is
used to divide the set of targets in multiple subsets, in order to reduce the
computation time by estimating a single optimal parametrisation for each
considered subset. The use of Auto-RSM allows to reach high contrast at short
separations, with a median contrast of 10-5 at 300 mas, for a completeness
level of 95%. Detection maps generated with different approaches are used along
with contrast curves, to identify potential planetary companions. A new
planetary characterisation algorithm, based on the RSM framework, is developed
and tested successfully, showing a higher astrometric and photometric precision
for faint sources compared to standard approaches. Apart from the already known
companion of HD206893 and two point-like sources around HD114082 which are most
likely background stars, we did not detect any new companion around other
stars. A correlation study between achievable contrasts and parameters
characterising HCI sequences highlights the importance of the strehl, wind
speed and wind driven halo to define the quality of high contrast images.
Finally, planet detection and occurrence frequency maps are generated and show,
for the SHARDDS survey, a high detection rate between 10 and 100 au for
substellar companions with mass >10MJ.
