Arc-Length Parameterized Interpolating Splines

Abstract

We present an iterative algorithm to compute an arc-length parameterized spline interpolating a set of points. This differs from other methods where the computed spline either does not interpolate the original points or the parameterization is not the arc-length of the returned curves. Our method is applicable in any dimension $D\ge 2$, and we illustrate it with numerical results for plane curves.