2009Journal of Hefei University of TechnologyRequires access

A new kind of fairing method for parametric cubic B-spline curves

Jieqing Tan

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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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What this paper is about

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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Available 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.

Key concepts: Curvature, Mathematics, B-spline, Curve fitting, Parametric equation, Parametric statistics, Smoothing spline, Monotone cubic interpolation

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