<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

Online veröffentlicht: 16. Mai 2020

Seitenbereich: 113 - 131

Eingereicht: 28. Nov. 2018

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

Schlüsselwörter
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

Online veröffentlicht: 16. Mai 2020

Seitenbereich: 113 - 131

Eingereicht: 28. Nov. 2018

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

Schlüsselwörterinterpolating, spline, orthogonal polynomial

© 2020 Agnieszka Makowska, published by Sciendo

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

Schlüsselwörter
interpolating, spline, orthogonal polynomial