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I am trying to find a way to approximate an arbitrary arc (given by an angle phi and a radius) with a degree 3 NURBS (ie at least 4 control points). This website: https://www.ibiblio.org/e-notes/Splines/nurbs.html

gives a method for degree 2 NURBS, just applying a weight of cos(phi) to the inner control point. Is there a way to generalize this method to any degree ?

carlitador
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  • In this answer, cubic bezier approximations of circular arcs are computed. – robjohn Mar 01 '23 at 13:41
  • The website you refer to is not to create an approximation for an arc. It is an exact representation of an arc as a rational quadratic Bezier curve. If you want it to be of any degree, you can perform degree elevation on the Bezier curve. – fang Mar 02 '23 at 02:13

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