Title: Variational design of ratonal Bézier curves (GP. Bonneau)

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NURBS are currently seen as the most promising curve form in CAD/CAM applications. Rational Bézier curves are special non-uniform rational B-Splines. In this paper we describe a calculus of variation approach to design the weights of a rational curve in a way as to achieve a smooth curve in the sense of an energy integral.

Reference: CAGD 8, pp. 393-399 (1991)

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