For a given radius, theta, and position, can you calculate a Bezier curve?
Given a radius, calculate Bezier curve
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$\begingroup$
geometry
bezier-curve
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0Perhaps if you give the definition of Bezier curve. – 2010-11-29
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1Bézier curves cannot represent circles; they can approximate them however. Rational quadratics are needed here. – 2010-11-29
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0@J.M...can you please elaborate? – 2010-11-30
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0@ J.M. is not a mathematician sir, if we put in vertices of a regular polygon say $n>12,$ then also we dont get a circle of constant curvature? – 2018-04-10
1 Answers
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In section 2.11 on p. 27 of the following there is a description of how to create a bezier curve that exactly represents an arc.