Abstract
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.
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