New Algorithm of Polynomial Triangular B - B Surfaces Approximation to Rational Triangular B - B Surfaces ★
نویسندگان
چکیده
In this paper, a new algorithm of approximating rational triangular B-B surfaces using polynomial triangular B-B surfaces is presented. This algorithm has a simple expression and insured convergence. The core idea of the algorithm is to yield a polynomial triangular B-B surface, which has the same degree and new control vertices of the degree-elevated rational triangular B-B surface, to approximate the original rational triangular B-B surface. Then arbitrary given order of the polynomial triangular B-B surface’s hodograph surface necessarily converges uniformly to that of the original rational triangular B-B surface.
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