Variational design of smooth rational Bézier curves

Abstract : NURBS' are eurrently seen as the most promising curve form in CAO /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
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Hans Hagen, Georges-Pierre Bonneau. Variational design of smooth rational Bézier curves. Computer Aided Geometric Design, Elsevier, 1991, 8 (5), pp.393-399. ⟨10.1016/0167-8396(91)90012-Z⟩. ⟨hal-01708590⟩

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