4.4 Article Proceedings Paper

Optimal parametric interpolants of circular arcs

Journal

COMPUTER AIDED GEOMETRIC DESIGN
Volume 80, Issue -, Pages -

Publisher

ELSEVIER
DOI: 10.1016/j.cagd.2020.101891

Keywords

Geometric interpolation; Circular arc; Parametric polynomial; Bezier curve; Optimal interpolation

Funding

  1. Slovenian Research Agency [P1-0292, J1-8131, N1-0064, N1-0083]

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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 an inner angle not greater than 2 pi we find the best interpolant, where the optimality is measured by the simplified radial error. (C) 2020 Elsevier B.V. All rights reserved.

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