有理曲线和曲面作为一类重要的逼近函数，在计算机辅助设计与制造中有着广泛的应用。
Rational curves and rational surfaces, which are a class of important approximation functions, are extensive applied in CAD/CAM.
这一结果可以与细分技术相结合，得到有理曲面的分片区间多项式的逼近。
This result can be combined with subdivision method to obtain a piecewise interval polynomial approximation for a rational surface.
着重介绍了数值逼近方法中的多项式曲面函数模型逼近法，并通过实测数据对多项式函数模型的精度进行分析。
The paper emphasizes on the methods of polynomial surface approximation which is part of numerical approximations, and analyzes the precision of polynomial function model through the measured data.
本文研究光滑曲面上曲线的计算机表示、插值与逼近等。
The interpolation, approximation and other things for curves on smooth surfaces with computer are studied.
其中曲线拟合是一个在给定误差下进行曲线逼近的过程，当曲线拟合完成之后，整个曲面的控制点的数目也就确定了。
Curve fitting is a curve approaching process under definite error and the number of control points throughout surface is ascertained after curve fitting completed.
解决了这三个问题就可以得到基于轮廓数据的三角网格模型，它是原始轮廓对应的曲面的分片逼近表示。
The result after solution of the correspondence, branching and tiling problems is a triangular mesh that is a piecewise planar approximation of a surface consistent with the contours.
该模型可以按给定精度要求逼近测头中心轨迹曲面。
The model could approximate to the trace surface by given accuracy.
只要选用相应的目标函数，曲面插值、逼近、拼接和光顺都可以使用优化技术统一处理。
Optimization techniques are being applied to solve the problems of surface interpolation, approximation, smooth joining and fairing, aiming at corresponding goal functions.
本文研究曲线曲面分形逼近的数学模型及其简单应用。
This thesis studies modeling and the simple application of the fractal approximation of curves and surfaces.
数值例说明这些保凸条件在隐式曲面光滑逼近中能有效地控制曲面。
Numerical examples give evidence that these conditions can effectively control form of surface in smooth approximation for implicit algebraic surfaces.
应用有限元法与多面函数法的加权综合模型改进拟合模型在逼近高程异常曲面时的拟合效果。
Combined model on the basis of the Finite Element Method and Multisurface Function was used to improve approximating precision and reliability in modelling abnormal height surface.
其次，分析了逼近模型，推导了单圆弧逼近方法，用这一方法来逼近叶片曲面，提高了逼近速度。
Secondly, analysed the approach model, described circular arc approximation method, approaching blade curved surface with this method and realized raise of the approach speed.
随着对区间曲线曲面的深入研究，人们开始用区间曲线曲面来逼近曲线曲面。
With the deeper research of interval curves and interval surfaces, people begin to approximate curves (surfaces) with interval curves (surfaces).
曲面轮廓度误差评价和多边域逼近均要求对理论曲面进行数字化自适应采样。
Adaptive sampling algorithm of surface play an important role in evaluation of profile deviation and surface triangular approximation.
这对于研究逼近曲线曲面的光滑性是很有意义的。
It is significative for the smooth property of approximating curves and surfaces.
目的为了提高GPS水准的拟合模型在逼近高程异常曲面时的逼近精度和可信度。
AimIn order to improve approximating precision and reliability of GPS leveling of imitated model in approximating abnormal height curved surface.
在NURBS曲线离散逼近算法的基础上，进一步提出了NURBS曲面离散逼近算法，并得出曲面面积近似计算方法。
Depended on the approximating subdivision algorithm of curve, the subdivision algorithm of NURBS surface has further proposed. And it draws the approximate calculating method of NURBS surface areas.
对五坐标曲面加工中由离散线性运动逼近理想刀具轨迹所引起的理论加工误差进行了较严格的分析。
The theoretical error in five axis NC machining, which is resulted from approximating the perfect continuous tool path with discrete linear segments, is strictly analyzed.
自由曲面光学产品设计、制造与检测的工艺流程，通常采取试凑法逐次逼近。
Successive approximation method is adopted in the design, manufacture, and test of freeform optics.
GPS水准的单一模型在逼近高程异常曲面时其拟合效果往往不稳定。
The results of those simple model of GPS leveling are often unstable.
GPS水准的单一模型在逼近高程异常曲面时其拟合效果往往不稳定。
The results of those simple model of GPS leveling are often unstable.
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