Research on a New Linear Interpolation Algorithm of NURBS Curve
Lijun Li, Bai Weitao, Sun Wei
Abstract
Lijun Li, Bai Weitao, Sun Wei
Abstract
This paper uses the most extensive linear interpolation method to complete the NURBS curve interpolation, according to the shape of the NURBS curve type, choosing two different interpolation algorithm appropriately, That are the linear interpolation method which is based on tangent linear and circular arc interpolation, and finally in order to realize the parts processing of the surface of NURBS curve modelling, for different curvature of curve, the interpolation line also is in changing, flexibility of it is strong, so as to ensure a good machining accuracy, and realization process has cyclicity, improves the interpolation rate and has a certain practicality.
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This paper uses the most extensive linear interpolation method to complete the NURBS curve interpolation, according to the shape of the NURBS curve type, choosing two different interpolation algorithm appropriately, That are the linear interpolation method which is based on tangent linear and circular arc interpolation, and finally in order to realize the parts processing of the surface of NURBS curve modelling, for different curvature of curve, the interpolation line also is in changing, flexibility of it is strong, so as to ensure a good machining accuracy, and realization process has cyclicity, improves the interpolation rate and has a certain practicality.
Key concepts: Interpolation (computer graphics), Linear interpolation, Stairstep interpolation, Nearest-neighbor interpolation, Algorithm, Trilinear interpolation, Tangent, Curvature