A New, Robust and Applied Model for Interpolation of Huge Data

Abstract

A powerful and accurate model for interpolation of data is piecewise cubic spline method.  In this model the obtained final curve consists of a series of local cubic spline curves which combine together with suitable continuity along their boundaries.  The continuity at the boundaries of each local curve is c².  The attraction of this research is to apply cubic spline method for approximation and estimation of data.  Therefore; each local spline curve satisfies the minimization of sum of square errors along its length in addition of obtaining c² continuity at its edges or boundaries.  Because in the local scale the approximation of any section of data by cubic spline is accurate; therefore, the presented model is applicable to any kind of data with highly nonlinear distributions.