A Radial Basis Function Based Approach for Polygonfree Reconstruction and Representation of 3D Objects from Range Data

Abstract

The acquisition of the 3D shape of real objects is a rapidly expanding field with various applications in Cornputer Aided Design, archeology, design, entertainment and so on. In this paper wepropose a new approach for 3D object reconstruction from range data. Our approach is based on the modelization of the object surfaces with a set of RBFs (Radial Basis Functions). Our originality is the fact that the reconstruction is independent from the object geometry; it can be applied for smooth objects as well as for objects with sharp boundaries. To enhance the efficiency of the RBF modelization, we propose also an efficient isosurfacing algorithm. Unlike conventional reconstruction techniques, no prior information about the acquisition process is required. We demonstrate the ability of our approach to reconstruct a wide range of 3D objects through a set of experiments.