Abstract

SANCHEZ TORRES, GERMAN; BRANCH BEDOYA, JOHN WILLIAN  and  BOULANGER, PIERRE. RECONSTRUCTION OF ARBITRARY TOPOLOGY OBJECTS BY INTERPOLACIÓN WITH RBF WITH CENTERS SELECTION. Dyna rev.fac.nac.minas [online]. 2006, vol.73, n.150, pp.189-201. ISSN 0012-7353.

In this paper a fast procedure for the automatic selection of centres of interpolation of radial basis functions is showed. The procedure is based on the clusterization of the surface of the object in regions with homogenous geometric characteristics such as the curvature estimation. This approach of clusterization guarantees that the totality of the variations of the surface will be represented in the construction of the interpolant. Next, a set of rules is applied to each one of cluster, to finally select the points of cluster that they will have to be used like interpolation centre. The rules were extracted of obtained optimal solutions by means of an Evolutionary Strategy. Excellent results are showed on real data range.

Keywords : Reconstruction; Radial basis functions; Centres selection; Range data; Evolutionary strategy.

        · abstract in Spanish     · text in Spanish     · Spanish ( pdf )