Can elliptic arc (defined as part of an ellipse, with extent not greater than $90˚$) be represented by quadratic Bezier curve?
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1I would call that an "elliptical arc". An elliptic curve is something completely different. – Nov 25 '10 at 04:26
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A rational quadratic, yes, but I'm pretty sure not a quadratic... – J. M. ain't a mathematician Nov 25 '10 at 04:30
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1Also, quadratic Bézier curves can only represent parabolas. To represent elliptical arcs and other cubic sections exactly, you need rational functions, as J.M. mentioned in your previous question. – Nov 25 '10 at 04:33
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See also Representing rational quadratic Bezier with non-rational cubic – ccorn Jul 06 '18 at 23:07
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No. From Computer Aided Geometric Design by T. Sederberg, chapter 2.9 Rational Bezier Curves: "A degree two polynomial Bezier curve can only represent a parabola. Exact representation of circles requires rational degree two Bezier curves."
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