Circular are approximation by quintic polynomial curves

This paper presents methods for approximating circular arcs using quintic polynomial curves. Different boundary conditions are considered in the approximation methods, thus resulting approximation curves with G(2), G(3), Or G(4) continuities at the circular are's ends. The resulting approximation radial errors are generally very small and converge at the eighth or tenth power of the circular are's angular span. (C) 1998 Elsevier Science B.V.