Wang-Ball Triangular Patch and Its Properties

A new model of triangular Ball surface is proposed with its quadratic complexity. It can be constructed from the idea of Wang-Ball univaritate functions and Wang algorithm. The new bivariate basis functions look analogous to the Wang-Ball polynomials. Evaluating points on a curve can be calculated from the new recursive algorithm that is proved to be quadratic, O(n²). Thus, the calculation time is less than any other triangular curves. Finally several important geometric properties for these surfaces are also identified such as normality, convexity and symmetry.