An Improved Method of Nearly Arc-Length Parameterized Quintic-Spline Interpolation

Abstract

In Wang etc.’s paper [1], a method of nearly arc-length parameterized quintic-spline interpolation was given, but there were errors in the paper, and what is more important is that the method is not always feasible. The reason for this is that in the method Newton’s iteration algorithm was used to solve a quartic equation, but nothing can guarantee the existence of reasonable roots for that equation. Because of these reasons, we point out some errors in that paper and give a new method of nearly arc-length parameterized quintic-spline interpolation that is always feasible based on that method.