Abstract
A method is presented for the approximation of single-valued curves in polar coordinates by the use of a B-spline scheme. From a knot-insertion algorithm in polar coordinates, a de Boor-like algorithm is derived. The resulting curves are piecewise splines that are composed of rational Bézier segments. Such curves admit an expression in terms of sinusoidal basis functions with local support. An application is given for the construction of single-valued surfaces in cylindrical coordinates; this is useful for solid-modelling purposes.
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