Resumen

SANCHEZ TORRES, Germán  y  WILLIAM BRANCH, John. AUTOMATIC PRESERVATION OF SURFACE DISCONTINUITIES BASED ON TORSION ESTIMATION OF THE CONTOUR CURVES FOR THE RECONSTRUCTION OF THREE-DIMENSIONAL OBJECTS. Ingeniare. Rev. chil. ing. [online]. 2009, vol.17, n.2, pp. 244-255. ISSN 0718-3305.  doi: 10.4067/S0718-33052009000200013.

Different methods for fitting surfaces from dispersed data interpolation assume the reconstructed surface does not have any type of discontinuity. Discontinuities in the surfaces are obtained from the original shape of the object and they appear mainly in the acquisition process due to occlusion problems. For digital representation of surfaces with discontinuities is commonly found an additional manual process, which is applied after the final stage of fitting surface. In this paper, two methods are proposed, one of them with the aim of  detect and preserve discontinuities in surfaces with arbitrary topology, and the other one to reduce the amount of points to be interpolated, decreasing the computational cost. Initially, the method carries out a classification based on estimation of the torsion variance of the contour curve. When the holes contour has very low values of variances, it is considered that this hole must be preserved. Then, the surface described by the selected set of points is interpolated using Radial Basis Functions. Finally, the generated surface is trimmed with each contour identified like preservable.

Palabras clave : Surface reconstruction; radial basis functions; range data; evolutionary strategy.