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# SPLINE - BLENDED SURFACES

**Mária Kuklišová**

**7 April 1999**

In 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.

*1999-04-09*