Abstract
Some remarks are given on a construction of a quartic full circle presented by Chou [Higher order Bézier circles. Computer-Aided Design, 1995, 27(4), 303–309]. His method is generalized to obtain rational Bézier circular arcs of arbitrary sweep angle and arbitrary even-degree. An arc of degree n = 2k is generated by elevating to the kth power in the complex plane a quadratic arc of circle. The resulting representation is symmetric and enjoys remarkable properties. Control points lie regularly spaced with respect to the angle swept by the arc. Their associated weights are given by a simple explicit formula, and are equal to the inverse of the distance between the control point and the centre of the circle.
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