A method for filling n-sided holes in a surface

While parametric surfaces are most conveniently described by rectangular patches, most complex objects require the use of patches with other than four sides. Methods to generate such patches are widely used but all have drawbacks. This paper describes the creation of a surface which covers the original surface and the non-rectangular "hole" with a new, smooth surface. The method employs recursive splines and can be used with a control mesh of arbitrary topology. Control of the shape of the patch covering the "hole" can be achieved by user manipulation of a "controller" point on the patch.