G1 Hermite interpolation by PH cubics revisited

This paper deals with G1 Hermite interpolation by the Tschirnhausen cubic. In Meek and Walton (1997a), , the explicit formulas for finding an arc of Tschirnhausen cubic which interpolates given Hermite interpolation data were given. In this paper, we extend these results to more general input data and refine on the results presented in Meek and Walton (1997a). Furthermore, we present a thorough analysis of the number and the quality of the interpolants; particularly if they contain a loop or not.