Construction of a new class of Bezier-like curves

摘要

The goal of this paper is to define a new Bezier-like curve, which has many applications in computer graphics and related areas. By applying an integral approach, we construct a new Bezier-like basis in the space Gamma m=span1,t,t2, horizontal ellipsis ,tm-2,et,e-t. Using Bezier-like basis, we define Bezier-like curves. We then compare the Bezie-like basis and curves with the classical Bezier basis and curves, respectively.