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Single-valued spline curves in polar coordinates

✍ Scribed by J. Sánchez-Reyes

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
728 KB
Volume
24
Category
Article
ISSN
0010-4485

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✦ Synopsis

A method is presented for the approximation of singlevalued 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 ptecewise splines that are composed of rational Bbzier 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. splines, rational Bkzier curves, polar coordinates, single-valued curves

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