Spiral arc spline approximation to a planar spiral (Q1298774)

A spiral is a smooth planar curve whose curvature does not change sign and whose curvature is strictly monotone. A biarc is a one parameter family of \(G^1\) curves that can satisfy \(G^1\) Hermite data at two points. The main result of this paper is the development of several methods of choosing the free parameters of the biarcs so that the arc spline approximation to a smooth spiral is a spiral [cf. \textit{D. S. Meek} and \textit{D. J. Walton}, Comput. Aided Geom. Design 13, No.~7, 653-671 (1997; Zbl 0875.68874)].