A Curve Design Method with Shape Control

摘要

A curve design method has been proposed which, in addition to enjoying the good features of cubic splines, possesses interested shape design features too. Two families of shape parameters have been introduced in such a way that one family of parameters is associated with intervals and the other with points. These parameters provide a variety of shape controls like point and interval tension. This is an interpolatory curve scheme, which utilizes a piece-wise rational cubic function in its description. The proposed method enjoy ideal geometric properties and geometric continuity of order two is also achieved.