Conversion from an arbitrary curve into a B#x00E9;zier curve with the least degree using constrained economization of Chebyshev polynomials

摘要

In this paper, we present a new method used for the transformation of a set of discrete points into an analogous Bézier curve. Two algorithms for degree reduction of Bézier curves are then introduced using constrained economization of Chebyshev polynomials with an acceptable error value.