Basis conversion among Bézier, Tchebyshev and Legendre Original Research Article

Bézier representation of curves and surfaces has been a standard in most CAD/CAM systems. The conversion between Bézier, Tchebyshev, and Legendre representation of polynomial curves and surfaces is often desired when an approximation procedure is involved. In this paper, we present a simple and numerically stable method for basis conversion of Bézier, Tchebyshev, and Legendre polynomials.