通过实例验证表明，运用第二代小波变换进行曲线光顺，运算简单，易于推广。
Curve smoothness adopting the second generation wavelet is verified in a specific instance, and remonstrating the method of simple algorithm is favor of application.
常用的三次样条曲线几种端值条件如简支端、抛物端已不能完全满足曲线光顺的要求。
Several commonly adopted end value conditions for cubic spline do not meet the requirements of curve fairing completely.
在传统光顺算法的基础上，提出了以曲线曲率极值的均方差作为衡量曲线光顺的指标之一。
On the basis of traditional fairing algorithm, the curvature extremum of curve is used as one of the indices judging the curve fairing.
新方法具有计算量小，所得到的延伸曲线曲面更为光顺，并且具有更小的应变能和曲率变化率的优点。
The new method is calculated simply, the extended curve and surface is more fairing, and have less energy and more smooth curvature variation.
提出了一种局部光顺nurbs曲线的算法。
本文从样条曲线精密光顺准则出发，提出一个新的端值条件——等外力端的概念、分类和处理方法。
A novel end value condition, i. e. equal exterior force end, and its concept, classification and processing method are presented on the basis of strict fairing criterion for spline curves.
研究了曲线和曲面的光顺准则、方法和评估手段。
The principles, methods and evaluation of the fairing of surfaces and curves are also discussed.
最终通过求解线性方程组得到光顺曲线。
Finally, the fairing curve can be obtained by solving a linear system of equations.
本文研究一种船体线型光顺数学模型，以船型曲线为研究对象，以提高光顺效率和改善光顺结果为目的。
This paper studies a mathematical modeling of ship lines fairing, which aims to improve the fairing efficiency and result.
基于光顺曲线的参数化设计，提出了参数化的船型设计方法。
Based on the parametric design of fair curve, the parametric design method of hull form is presented in the paper.
利用这种方法得到的曲线不仅具有较小的应变能，而且曲率变化比较均匀，具有很好的光顺效果。
The curve faired by this method tends to possesses smaller strain energy and rather uniform changes in curvatures.
此算法自动找出NURBS曲线需要修改的那一点，局部修改控制多边形，使生成的新曲线更加光顺。
The algorithm automatically identifies the point at which the NURBS curve has to be faired. Modifying locally the control polygon, the algorithm yields a NURBS curve with improved fairness.
将重构信号逆映射回二维，得到光顺后的曲线。
Finally, mapping the reconstructed signal to 2d, and the smoothing curve was obtained.
构造一条满足给定端点条件的光顺曲线是计算机辅助几何设计(CAGD)中的一个基本问题。
Constructing a smooth curve with given endpoint conditions is a fundamental problem in computer aided geometric design (CAGD).
使用该法能获得具有较好的光顺性和一致性的误差拟合曲线。
We could obtain smooth and sole error fitting curve by means of this method.
鉴于三次样条曲线用于线型光顺时，由于缺乏完整的光顺标准，效果不够理想。
Due to lacking of integral criteria of fairing of lines, to which the effect of the application of cubic splines is not desirable, and manual modifications are usually needed.
该算法对离散的曲线进行光顺、拟合和采样，使用空间曲线微分几何性质计算各采样点的曲率和弗朗·内特标架。
After smoothing, fitting and sampling the discrete space curves, the algorithm calculated Frenet frame and curvature for each sampling point.
鉴于这种情况，我们先使用低通滤波对轮廓曲线作光顺处理，随后再采用基于面积误差的多边形逼近法对曲线作逼近处理。
And they are often distorted. First, a low passed filter is used to smooth the contour. And a polygon approximating method based on area error is used to approximate the contour.
曲线曲面的光顺处理CAGD的一项重要内容。
Smoothing the surface of handling is an important part of CAGD.
目前曲线曲面的光顺处理已成为轿车车身外表面造型方法中非常重要的一项技术。
Currently the smoothing of curves and surfaces has become an important method of technology in car body modeling.
目前曲线曲面的光顺处理已成为轿车车身外表面造型方法中非常重要的一项技术。
Currently the smoothing of curves and surfaces has become an important method of technology in car body modeling.
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