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Subject 4.04: How do I fit a Bezier curve to a circle?

April 26, 2017bezier Circle curve fit Subject

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Subject 4.04: How do I fit a Bezier curve to a circle?

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Interestingly enough, bezier curves can approximate a circle but not perfectly fit a circle. Michael Goldapp, “Approximation of circular arcs by cubic polynomials” Computer Aided Geometric Design (#8 1991 pp.227-238) Tor Dokken and Morten Daehlen, “Good Approximations of circles by curvature-continuous Bezier curves” Computer Aided Geometric Design (#7 1990 pp. 33-41).