English

Optimal parametric interpolants of circular arcs

Numerical Analysis 2020-06-22 v1 Numerical Analysis

Abstract

The aim of this paper is a construction of quartic parametric polynomial interpolants of a circular arc, where two boundary points of a circular arc are interpolated. For every unit circular arc of inner angle not greater than π\pi we find the best interpolant, where the optimality is measured by the simplified radial error.

Keywords

Cite

@article{arxiv.1911.05425,
  title  = {Optimal parametric interpolants of circular arcs},
  author = {Aleš Vavpetič},
  journal= {arXiv preprint arXiv:1911.05425},
  year   = {2020}
}
R2 v1 2026-06-23T12:14:14.207Z