A new kind of fairing method for parametric cubic B-spline curves
Jieqing Tan
Abstract
Jieqing Tan
Abstract
On the basis of the energy method and method of selecting points,this paper puts forward a new kind of fairing method for parametric cubic B-spline curves.The method can not only modify the controlling points at a time that only have influences on bad points,but it can also make the curve's curvature vary relatively evenly and make the curves have less strain energy.The experiment shows that the method has quite good fairing effects on the curves.
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On the basis of the energy method and method of selecting points,this paper puts forward a new kind of fairing method for parametric cubic B-spline curves.The method can not only modify the controlling points at a time that only have influences on bad points,but it can also make the curve's curvature vary relatively evenly and make the curves have less strain energy.The experiment shows that the method has quite good fairing effects on the curves.
Key concepts: Curvature, Mathematics, B-spline, Curve fitting, Parametric equation, Parametric statistics, Smoothing spline, Monotone cubic interpolation