Curvature continuous spline surfaces over irregular meshes Original Research Article

Concepts and techniques for the construction of smooth surfaces over irregular meshes are developed and made concrete by defining curvature continuous splines based on 3-sided patches. These splines extend the B-spline paradigm for the construction of parametric piecewise polynomial surfaces to control meshes with nonquadrilateral cells and more or fewer than four cells meeting at a point. Mesh points serve as control points and are locally averaged to obtain a Bernstein-Bézier representation which in turn defines surface points as averages.