Advances in Numerical Analysis Emphasizing Interval Data

4.5 Spline Interpolation

Splines were first introduced in 1946 by a person named I. J. Schoenbery. If we want to describe this type of interpolator, we must say that it is one of the best interpolators considering the properties and characteristics of interpolation that will be discussed, because it is both a best approximation and a most accurate approximation. The best in the sense that the behavior of the interpolation points is approximated very smoothly, that is, it can be said that it is a functional approximation. Also, it is a most accurate approximation in the sense that in different points, it has approximations with much less error. So, it can be claimed that splines approximate the behavior of the function more accurately. In fact, ...