The advances realised during the last years in 3D object digitization technology have resulted in a considerable increase in the number and importance of applications that handle 3D spatial information, and in the amount of interest shown by the scientific community to the different problems involved in 3D data processing. This paper presents a comparison between two techniques for computing multiresolution shape models of 3D objects acquired as clouds of 3D points. Both of these techniques deform a mesh template over the input data, constructing the multiresolution representations using wavelet transforms. The first technique is based on a facet-based approach, while the second one uses a vertex-based approximation. The procedure is fully automated and can process data from any object with a genus equivalent to that of a sphere. An important feature of these methods is that they do not impose any restrictions on the input data. which can be provided by any type of 3D sensor. Advantages and disadvantages of both approaches are also analysed, and some experimental results are shown.
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