PLANAR G(1) HERMITE INTERPOLATION WITH SPIRALS

A method for creating an extended planar spiral from a segment of a gi ven planar spiral is described. Spirals that satisfy certain condition s are used here so that the following important result holds. The main result of this paper is that there is a unique segment of the given s piral or unique extended spiral that matches very general given G(1) H ermite data. The slight restriction on the G(1) Hermite data is that i t can be represented as a triangle and the unit tangent vector turns t hrough an angle of less than pi. This paper shows how to find a G(1) H ermite interpolating curve where the segments joining each pair of int erpolation points are spirals. (C) 1998 Elsevier Science B.V.