  The convergence of many proximal algorithms involving a gradient descent
relies on its Lipschitz constant. To avoid computing it, backtracking rules can
be used. While such a rule has already been designed for the forward-backward
algorithm (FBwB), this scheme is not flexible enough when a non-differentiable
penalization with a linear operator is added to a constraint. In this work we
propose a backtracking rule for the primal-dual scheme (PDwB), and evaluate its
performance for the epigraphical constrained high dynamical reconstruction in
high contrast polarimetric imaging, under TV penalization.
