A New Set of Bernstein Basis Functions with Multiparameter and Applications

Abstract

In this paper, a new set of Bernstein type basis functions with 3 parameters is introduced. The properties of these basis functions are studied. A new kind of Bézier like curves with 3 parameters is defined based on the new basis functions. The new curve not only holds many practical geometrical properties of Bézier curve, but also its shape can be adjusted totally or locally by changing values of the parameters. Finally, some application examples of the new curve are presented.