In this paper, an extension of our previous research focused on haptic rendering based on interpolation from precomputed data is presented. The technique employs the radial-basis function (RBF) interpolation to achieve the accuracy of the force response approximation, however, it assumes that the data used by the interpolation method are generated on-the-fly during the haptic interaction. The issue caused by updating the RBF coefficients during the interaction is analyzed and a force-response smoothing strategy is proposed. Keywords and phrases haptic rendering, radial-basis function approximation, precomputation, deformation modeling Digital Object Identifier 10.4230/OASIcs.MEMICS.2010.26