Verification of the Spline Method and its Application to Curvilinear Objects

Abstract

Two methods of interpolation are presented in this article: interpolation with the help of orthogonal polynomials and interpolation on a cubic spline path (with the help of glued-together functions). Two procedures have been written by the author: WielOrt and Splajn. A comparative analysis of these procedures was conducted by four verification methods that have been created by the author. The examples of verification were chosen so as to make it possible to compare the created by author interpolating function f(x) and the known function g(x). Graphics, numerical procedures and examples were prepared in the Mathematica program.

Keywords

• interpolating
• spline
• orthogonal polynomial