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In this paper we are going to use a physically motivated method for surface reconstruction that can recover smooth surfaces from noisy and sparse data sets. No orientation information is required. By a new technique based on regularized-membrane potentials the input sample points are aggregated, leading to improved noise tolerability and outlier removal, without sacrificing much with respect to detail (feature) recovery. In this method, sample points are first aggregated on a volumetric grid. Adoi:10.5281/zenodo.50962 fatcat:ilccqqigirarrkavd5iqv5mobu