✦ LIBER ✦

Spiral arc spline approximation to a planar spiral

✍ Scribed by D.S. Meek; D.J. Walton

Book ID: 104338939
Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 121 KB
Volume: 107
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(99)00072-2

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✦ Synopsis

A biarc is a one-parameter family of G 1 curves that can satisfy G 1 Hermite data at two points. An arc spline approximation to a smooth planar curve can be found by reading G 1 Hermite data from the curve and ÿtting a biarc between each pair of data points. The resulting collection of biarcs forms a G 1 arc spline that interpolates the entire set of G 1 Hermite data. If the smooth curve is a spiral, it is desirable that the arc spline approximation also be a spiral. Several methods are described for choosing the free parameters of the biarcs so that the arc spline approximation to a smooth spiral is a spiral.

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