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The concept of universal sphnes provides new techniques for Computing with geometncally continuous sphne curves of arbitrary degree These techniques lead to new algonthms for computmg bot h the sphne control points and the Bezter points, for Computing locally supported basis functions, and for knot insertion As a resuit we obtain a generahzation of polar forms to geometncally continuous sphne curves The presented algonthms have been coded in Maple and concrete examples illustrate the approach Maple output can be stored in look-up tables and allows the inclusion of geometncally continuous sphne curves in interactive applications Catégories and Subject Descriptors : 1.3.5 [Computer Graphics] Computational Geometry and Object Modelhng curve, surface, sohd, and object représentations General Terms : Algonthms, Design Additional

New algorithms and techniques for computing with geometrically continuous spline curves of arbitrary degree