Construction of curves with parallelism conditions

摘要

In this paper we define the notion of pseudo-parallel curves, extending, in the plane, that of offset curves. Then we consider the problem of fitting a set of scattered points with a curve pseudo-parallel to a given reference curve. We propose a method of solution based on a modified version of the classical smoothing Dm-splines over a bounded domain. The convergence of the method is established and some numerical examples are given.