Some applications of algorithms for generating points on regular parametric curves

Controlling the distribution of points on parametric curves is a very important problem in CAGD and related areas. In this paper we present three different applications, where the solution of the previous problem is crucial. Two algorithms for generating points on regular parametric curves are used in the applications. In the first application, we show how to generate points with control of their distribution on a 3D parametric curve. In the second one, the generation of points on the boundary of a planar grid is considered. Finally, we address the problem of reconstructing surfaces from cross sections and show that the distribution of points on the boundary curve of each cross section has a strong influence in the quality of the reconstructed surface.