PROGRESSIVE ITERATIVE APPROXIMATION FOR BEZIER CURVES WITH SHAPE PARAMETERS

In this paper, we exploit the progressive iterative approximation (PIA) and the weighted progressive iterative approximation (WPIA) for Bezier curve with shape parameters. By introducing a shape parameter, we can adjust the shape of curve as well as the convergence rate of PIA and WPIA. By choosing a appropriate shape parameter, the PIA and WPIA have the fastest convergence rate. Numerical examples also show that the optimal shape parameter make the iterative method converge faster than the PIA and WPIA for the classic Bezier curves.