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Optimal parametric interpolants of circular arcs

Published 13 Nov 2019 in math.NA and cs.NA | (1911.05425v1)

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 $\pi$ we find the best interpolant, where the optimality is measured by the simplified radial error.

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