Optimal parametric interpolants of circular arcs
Ale\v{s} Vavpeti\v{c}
TL;DR
This paper develops optimal quartic polynomial interpolants for circular arcs, ensuring minimal radial error when interpolating boundary points of arcs with angles up to π.
Contribution
It introduces a method to construct the best quartic parametric polynomial interpolants of circular arcs based on simplified radial error minimization.
Findings
Optimal interpolants for arcs with inner angle ≤ π are derived.
The interpolants minimize radial error effectively.
The method improves accuracy of circular arc approximations.
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 we find the best interpolant, where the optimality is measured by the simplified radial error.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.