Generalized harmonic Wang-Ball surface

In this paper, we present a method to generate Wang-Ball surface from two opposite prescribed boundaries based on the elliptic partial differential operators. In particular, we focus on the study of the harmonic Wang-Ball surfaces. The main result we report here is that any harmonic Wang-Ball surface would enable the overall surface to be generated and controlled based on the boundary curves rather than a set of control points. To visualize our proposed method we have chosen Harmonic Wang-Ball patches of degree 2 and degree 3.