2011Mianyang Shifan Xueyuan xuebaoRequires access

On Rational Cubic Bézier Illustration of Conic Curves

Jin Xie

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Abstract

Two conrol points of the conic curves is given,using degree elevation of rational curves,so it can indicate the conic curves by the rational Bezier curve.From the degree elevation,it can figure out the weight.Then the ratinal cubic curve can indicate the conic curves,such as the hyperbolic arc,parabolic arc and elliptic arc.Some examples is given.

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What this paper is about

Two conrol points of the conic curves is given,using degree elevation of rational curves,so it can indicate the conic curves by the rational Bezier curve.From the degree elevation,it can figure out the weight.Then the ratinal cubic curve can indicate the conic curves,such as the hyperbolic arc,parabolic arc and elliptic arc.Some examples is given.

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Available abstract

Two conrol points of the conic curves is given,using degree elevation of rational curves,so it can indicate the conic curves by the rational Bezier curve.From the degree elevation,it can figure out the weight.Then the ratinal cubic curve can indicate the conic curves,such as the hyperbolic arc,parabolic arc and elliptic arc.Some examples is given.

Key concepts: Conic section, Bézier curve, Mathematics, Degree (music), Arc (geometry), Arc length, Elevation (ballistics), Elliptic curve

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