Design of an n-sided surface patch from Hermite boundary data (Q1119330)

The problem of designing surfaces composed of n-sided patches is investigated. It is shown that a B-spline subdivision method can be used to insert an n-sided patch into a bicubic surface. The authors use Hermite boundary data and show that the subdivision patch can be fitted into the surfaces with tangent plane continuity. In the construction there remains one degree of freedom which can be used for shape control. The technique can be applied to B-spline surfaces as well as to general bicubic \(C^ 1\)-surfaces of locally uniform parametrization.