Interpolation of curve data by blended generalized circles

Abstract We present a GC 1 -interpolant for 2D curve data. The idea is to assign certain circles or straight lines (both are so-called generalized circles when identifying C and R 2 ) to a given data set of 2D points and to blend these frames. Several properties of the interpolant are presented and practical experience in comparison to parametric cubic spline interpolants is reported.