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A subdivision scheme for approximating circular helix with NURBS curve
An initial approximation circular helix with quadratic NURBS curve is represented by combining the algorithm for the planar NURBS circular arc and the height function defined by using the knot insertion and the degree elevation for linear NURBS. For given tolerance, a subdivision scheme based on de Boor algorithm for approximating NURBS helix curve is proposed. The modification subdivision scheme is easy and stabilized for keeping on improvement the approximation value and eliminates the blending algorithm for Bézier segments. Numerical examples are given to illustrate the efficiency of the method.
A subdivision scheme for approximating circular helix with NURBS curve
An initial approximation circular helix with quadratic NURBS curve is represented by combining the algorithm for the planar NURBS circular arc and the height function defined by using the knot insertion and the degree elevation for linear NURBS. For given tolerance, a subdivision scheme based on de Boor algorithm for approximating NURBS helix curve is proposed. The modification subdivision scheme is easy and stabilized for keeping on improvement the approximation value and eliminates the blending algorithm for Bézier segments. Numerical examples are given to illustrate the efficiency of the method.
A subdivision scheme for approximating circular helix with NURBS curve
Xiongyin Pu, (author) / Weijun Liu, (author)
2009-11-01
196808 byte
Conference paper
Electronic Resource
English
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