Poranne, R.Gotsman, C.Keren, D.2015-02-232015-02-2320101467-8659https://doi.org/10.1111/j.1467-8659.2010.01783.xWe define a generalized distance function on an unoriented 3D point set and describe how it may be used to reconstruct a surface approximating these points. This distance function is shown to be a Mahalanobis distance in a higher-dimensional embedding space of the points, and the resulting reconstruction algorithm a natural extension of the classical Radial Basis Function (RBF) approach. Experimental results show the superiority of our reconstruction algorithm to RBF and other methods in a variety of practical scenarios.10.1111/j.1467-8659.2010.01783.x2479-2491