Infinite Control Points-A Method for Representing Surfaces of Revolution Using Boundary Data
IEEE Computer Graphics and Applications
The NURBS book
Circular arc approximation by quintic polynomial curves
Computer Aided Geometric Design
The Mathematical Basis of the UNISURF CAD System
The Mathematical Basis of the UNISURF CAD System
A Menagerie of Rational B-Spline Circles
IEEE Computer Graphics and Applications
Accurate Parametrization of Conics by NURBS
IEEE Computer Graphics and Applications
On polynomial approximation of circular arcs and helices
Computers & Mathematics with Applications
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The article presents a method to approximate surfaces of revolution with nonrational B-splines. The profile curve is assumed to be a nonrational curve, and the revolution is performed by a nonrational approximation of the circular arc. The approximation requires only a modest number of control points in the range of engineering tolerances and provides a quasiuniform parametrization as compared to the quadratic rational circle.