A new approach in designing of local controlled curves and surfaces Original Research Article

In this paper, a new formulation for the representation and designing of curves and surfaces is presented. It has been shown that the main advantage of using our formulation in comparison to the Bezier formulation is that after inputting a set of control points, weights, and values for a set of newly introduced control parameters, the designer has been provided the flexibility of choosing his desired curve from a set of curves which differ either locally or globally by either suitably modifying the values for the control parameters or by changing the control points. It is shown that our formulation is more general than the rational Bezier, and therefore, Bezier formulations.