CONSTRUCTION OF BEZIER SURFACES FROM PRESCRIBED BOUNDARY

In this paper, we present a method for generating Be & PRIME;zier surfaces from the boundary information based on a general second order functional and a third order functional as-sociated with the triharmonic equation. By solving simple linear equations, the internal control points of the resulting Be & PRIME;zier surface can be obtained as linear combinations of the given boundary control points. This is a generalization of previous works on Plateau-Be & PRIME;zier problem, harmonic, biharmonic and quasi-harmonic Be & PRIME;zier surfaces. Some representative examples show the effectiveness of the presented method.