<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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: <italic>WielOrt</italic> and <italic>Splajn</italic>. 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 <italic>f</italic>(<italic>x</italic>) and the known function <italic>g</italic>(<italic>x</italic>). Graphics, numerical procedures and examples were prepared in the <italic>Mathematica</italic> program.</p></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.

Verification of the Spline Method and its Application to Curvilinear Objects

Technical Transactions

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 Public License.

{"article-title":"Verification of the Spline Method and its Application to Curvilinear Objects"}

Two methods of interpolation are presented in this article: interpolation with the help of orthogonal polynomials and interpolation on a cubic spline path...

Verification of the Spline Method and its Application to Curvilinear Objects

Published Online: May 16, 2020

Page range: 113 - 131

Received: Nov 28, 2018

DOI: https://doi.org/10.4467/2353737XCT.19.008.10048

Keywords
interpolating, spline, orthogonal polynomial

© 2020 Agnieszka Makowska, published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 Public License.

Verification of the Spline Method and its Application to Curvilinear Objects

Published Online: May 16, 2020

Page range: 113 - 131

Received: Nov 28, 2018

DOI: https://doi.org/10.4467/2353737XCT.19.008.10048

Keywordsinterpolating, spline, orthogonal polynomial

© 2020 Agnieszka Makowska, published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 Public License.

Keywords
interpolating, spline, orthogonal polynomial