Cubic Splines with Least-Squares and Conditioned Curvature and Applications

Abstract

In this article is detailed reviewed cubic splines with least-squares method and it is proposed a strategy for the interpolating spline obtained to have a conditioned curvature. The control of this curvature is done from a discrete point of view, resulting in an optimization problem. In the last part, some illustrative experiments and with practical applications have been exposed.