Two-point G2 Hermite interpolation with spirals by inversion of hyperbola Original Research Article

Planar, 4th degree rational spirals, matching given G2 Hermite data, are constructed by inversion of hyperbola. The proposed method handles any data for convex spiral arcs, and a great deal of non-convex data. Non-convex data are either with an inflection, or with big angular winding.