An O(h2n) Hermite approximation for conic sections

Abstract

Given a segment of a conic section in the form of a rational quadratic Bézier curve and any positive odd integer n, a geometric Hermite interpolant, with 2n contacts, counting multiplicity, is presented. This leads to a G spline approximation having an approximation order of O(h). A bound on the Hausdorff error of the Hermite interpolant is provided. Both… (More)
DOI: 10.1016/S0167-8396(96)00025-8

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