| Abstract: | In order to construct closed surfaces with continuous unit normal,we introduce a newspline space on an arbitrary closed mesh of three-sided faces.Our approach generalizesan idea of Goodman and is based on the concept of'Geometric continuity'for piecewisepolynomial parametrizations.The functions in the spline space restricted to the facesare cubic triangular polynomials.A basis of the spline space is constructed of positivefunctions which sum to 1.It is also shown that the space is suitable for interpolating dataat the midpoints of the faces. |
