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We present a new method to model the mass distribution of galaxy clustersthat combines a parametric and a free-form approach to reconstruct clustercores with strong lensing constraints. It aims at combining the advantages ofboth approaches, by keeping the robustness of the parametric component with anincreased flexibility thanks to a free-form surface of B-spline functions. Wedemonstrate the capabilities of this new approach on the simulated clusterHera, which has been used to evaluate lensing codes for the analysis of theFrontier Fields clusters. The method leads to better reproduction of theconstraints, with an improvement by a factor $\sim3-4$ on the root-mean-squareerror on multiple-image positions, when compared to parametric-only approaches.The resulting models show a better accuracy in the reconstruction of theamplitude of the convergence field while conserving a high fidelity on otherlensing observables already well reproduced. We make this method publiclyavailable through its implementation in the Lenstool software.

Improving parametric mass modelling of lensing clusters through a perturbative approach