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We present an efficient method to solve the problem of the constrained leastsquares approximation of the rational B\'{e}zier curve by the B\'{e}zier curve.The presented algorithm uses the dual constrained Bernstein basis polynomials,associated with the Jacobi scalar product, and exploits their recursiveproperties. Examples are given, showing the effectiveness of the algorithm.

Weighted polynomial approximation of rational B\'ezier curves