Construction of triharmonic Bézier surfaces from boundary conditions.

The surface of partial differential equation (PDE surface) is a surface that satisfies the PDE with boundary conditions, which can be applied in surface modeling and construction. In this paper, the construction of tensor product Bézier surfaces of triharmonic equation from different boundary conditions is presented. The internal control points of the resulting triharmonic Bézier surface can be obtained uniquely by the given boundary condition. Some representative examples show the effectiveness of the presented method.