A polynomial Hermite interpolant for C2 C 2 quasi arc-length approximation ?
Transcendental curves and most offsets do not admit exact NURBS representation. We apply Hermite interpolation to achieve C2 C 2 quasi arc-length approximation. Two alternative tools are considered: piecewise Bzier quintics and cubic B-splines. The quintic displays simple control points, with locally nonparametric arrangement. We approximate offsets and clothoids and compare our results with existing software.
hermite interpolation arc-length transcendental curve offset quintic clothoid