Modelling a Road Using Spline Interpolation

We study the use of cubic spline interpolation to represent the centerline of a road, for curves in both R and R . We look at algorithms to create a representation based on arc length and evenly spaced nodes along the centerline. We also consider methods for moving between rectangular coordinates and coordinates based on distance along the centerline and the offset from that centerline (in R) and a related decomposition in R .