It is proposed a method for the reconstruction of objects with surfaces type 2-variety differentiable, by using a network of NURBS patches, assembled of suitable form. The quadrilateralization, for the network of patches, becomes in the projection plane, by means of a Delaunay triangulation represented like a graph. Later, the NURBS surfaces are adjusted to these quadrilaterals, and then they are ... [Show full abstract] projected to the original space of the object, by using a point to point technique. Results are shown for each stage of the method. The time employed for the quadrilateralization depends on the number of points in the Delaunay graph and on the number of axes in the contour of the model. This time, for graphs with an elevated number of control points, is not longer than some seconds. For instance, for 58 control points and 570 axes this time is about 0,032s.