The representation of a cylindrical helix by Non-Uniform Rational B-Spline (NURBS) curves is presented in this paper. A method is proposed to assess the influences produced by different ways to determine the control ver-texes positions of helix. The error distribution cases between the helix approximated by NURBS curves and the original theoretical one are also analyzed. Meanwhile a computational method that guarantees the precision requirements is presented.
The paper is on the representation of a cylindrical helix by NURBS curves. A method is given, which discusses the influence on the shape of helix, produced by different ways of determining the positions of their control vertexes. The error distribution cases between the helix approximated by NURBS curves and the original theoretical one are also analyzed, and in the meanwhile a computation method is pointed out, which guarantees the requirements of precision.
