7 April 1999In many applications such as computer visions, medical imaging, and image generation, surface data is available in the form of set of points, planar or 3-dimensional contours and it is desired to reconstruct a surface from this data. In this paper we will assume that we are given two sets of curves, one set running fore and aft, the other transversely. This network of lines defines a number of topologically rectangular patches. We will construct a spline - blended surface interpolating the network of curves, known also as Gordon surface. We will construct new blending functions used by construction of Gordon surface. We will also use this blending functions as basal functions for construction of spline curves and tensor product surfaces. At the end we will generalize interpolating splines to the system of approximating splines containing interpolating splines and B-splines.