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-  2015 

基于遗传算法的闭合NURBS曲线光顺及在叶片造型中的应用
Smoothing Closed NURBS Curve with Genetic Algorithm and Applying It to Blade Modelling

Keywords: 闭合NURBS曲线,反曲率,插值,光顺,遗传算法
closed NURBS curve
,genetic algorithms,interpolation,mathematical models,mathematical operators,reverse curvature,smoothing,vectors

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Abstract:

针对闭合NURBS曲线在型值点不均匀情况下曲线不光顺问题,提出一种基于遗传算法的闭合NURBS曲线的光顺方法,解决了在插值NURBS曲线过程中出现的反曲率导致不光顺的问题。最后以涡轮叶片的叶身截面线为例,验证了光顺方法的有效性和实用性。
Because the data points of a closed NURBS curve are non-uniform, the interpolated curve is not smooth. This paper proposes the closed NURBS curve smoothing method based on genetic algorithm to solve the curve unfairness caused by reverse curvature in the process of NURBS curve interpolation. Finally, this paper takes the body section of a turbine blade line as an example to verify the effectiveness and applicability of this smoothing method

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