Product design using point-cloud surfaces: A recursive subdivision technique for point parameterization

This paper presents a method for parameterizing three-dimensional (3D) point-clouds using a recursive subdivision approach. The proposed solution adapts ideas from emerging point-based geometric modelling and extends the dynamic base surfaces (DBS) concept in order to improve the accuracy of the produced parameterizations. Using the new approach it is possible to compute parameterizations for point-clouds which may be “thick” or with a varying density. Indicative examples are presented to illustrate the benefits of the proposed method.