由于表达式中含有调节参数，这使得插值曲线更具灵活性。
Because the expression has an adjustable parameter, the interpolation curve has more flexibility.
这种插值曲线的优点是容易按距离对插值后的曲线作任意分割。
The advantage of the proposed spline functions is easy splitting of given curves according to the curve path distance.
将插值曲线约束于给定的区域之内是曲线形状控制中的重要问题。
Constraining the interpolating curves to be bounded in the given region is an important issue in curve design.
本文给出一种构造C1连续的闭的三次NURBS插值曲线的方法。
This paper presented a method of constructing a C1 continuous, closed cubic NURBS interpolating curve.
从提升格式的应用来说，数据的拟合曲线比数据的插值曲线更能代表数据包络线的低频成分。
From the view of application of Lifting Scheme, the fitting curve can contain more low frequency components of a specific data's contour than the interpolating curve.
在岩石断面数据点的实际测量过程中，必然会产生一些误差，而这些误差又必然会引起分形插值曲线(曲面)的偏离。
In measurement of data on rock fracture surface, some errors will certainly occur. These errors will make the fractal interpolation curves (surfaces) have some deviations.
对一个非球面反射镜进行了实测并对测量结果进行插值运算，进而拟合出零件面形的曲线方程。
An aspherical reflector is tested and testing data are processed by the interpolation calculation, then the curve equation of the component surface shape is fitted.
提出了一种构造三次参数曲线对给定数据点插值的新方法。
A method for constructing a parametric cubic curve to interpolate a set of distinct data points was presented.
将基于法向的曲线细分技术应用到图像插值中，提出一种基于细分的图像插值算法。
By extending the normal based subdivision scheme for curve and surface design, a new algorithm for image interpolation is proposed in this paper.
虽然样条曲线具有广泛的应用，但对五次样条插值算法的研究却很少。
Although spline curves are applied widely, but the research on the algorithms of quintic spline interpolation is little.
指出用三次样条插值函数法只能解决由一组曲线族组成的图表处理问题。
The use of cubic spline interpolation function method can only solve the processing problem of nomographs consisting of one family curves.
插值已知曲线是曲面造型中的一个重要追求目标或手段。
It is an essential tool and purpose in surface modeling to interpolate the given curves.
在三角形域上构造对边界曲线和跨界导数插值的三角曲面是计算机辅助几何设计和计算机图形学等领域中的基本问题。
Constructing triangle surface which interpolates the boundary curve and cross-boundary slopes on a triangle is the basic problem in computer aided geometric design, computer graphics and so on.
接着插值一条满足多余约束的多余曲线。
Subsequently, one redundant curve satisfying the redundant constraints is interpolated.
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.
在成图过程中图表中的颗分曲线只是机械的点与点之间的连接，没有插值功能。
The curve hasn't completed interpolation function, only is the mechanical chain connection of adjacent experimental data point.
联合细分模式具有较强的曲线网插值能力，但却难以构造带有尖锐特征的复杂外形曲面。
Combined subdivision scheme is good for interpolating curve networks, but it cannot construct complex surface with sharp features.
把四次有理插值样条函数的连续性降为C2连续就可以提供额外的自由度，这对于控制曲线的形状具有较大的灵活性。
If we decrease the splines continuity to C2 continuous, it can provide additional freedom degree, and this is very useful for shape constraint in curve design.
若要插值多条相交曲线只需在交点处构造全对称三角网格。
If the interpolated curves intersect at point v, we can design a full symmetric triangle mesh at point v.
所作近似弧长参数化曲线在插值节点处，近似弧长是精确的，并且具有与精确弧长参数曲线同方向的单位切矢。
At any knots, the nearly arc length are precise for the resulting nearly arc length parametric curve, and it has the unit tangent same as that of the real arc length parametric curve.
工程应用中通常用插值和回归(曲线拟合)解决函数表达式描述数据的问题。
Engineering applications, the interpolation and regression (curve fitting) function expression usually are used to describe data to solve the problem.
本文讨论的三角形内插线曲线光滑函数属于插值样条型的曲线光滑方法。
Smoothing curve method of plugging line inside triangle in the article is one of the plugging dots spline curve methods.
第三章介绍了数学建模的基础理论，主要介绍了插值和曲线拟合的基本知识。
The third chapter introduces the basic theory of mathematical modeling and introduced by interpolation and curve fitting knowledge.
给出了具有线性分母的有理三次样条函数的误差估计，并在柱面坐标系下对一类空间闭曲线的插值问题进行了研究；
The error estimation of rational cubic spline with linear denominators is given, and then the interpolation of a kind of space closed curves under cylindrical coordinate system is investigated.
在微机地理制图中，张力样条插值法是一种有效实现光滑曲线的方法。
In the computer geographic mapping, the tension spline interpolation is an effective method to realize the smoothing curve.
NURBS曲线技术已经广泛使用在CAD/CAM等各个领域里。本文讨论NURBS曲线及其NURBS插值方法，并利用该插值方法设计双艉船的型线。
NURBS curve has been widely used in CAD/CAM. This paper discusses NURBS curve, its interpolation method and application in hull line design for twin stern ships.
结果表明，该方法不仅具有较高的插值精度，而且通用性强，可适用于平面和空间曲线的参数化插值。
The computation results show that the presented interpolation approach has better precision and versatility. And it can be used in parametric interpolation both for planar and spacial curves.
根据凸轮机构的检测数据利用三次周期样条函数插值法对凸轮实际廓线进行曲线拟合。
Curve fitting of the actual CAM profile with the Cubic-periodic spline function according to the measured data of the CAM.
根据凸轮机构的检测数据利用三次周期样条函数插值法对凸轮实际廓线进行曲线拟合。
Curve fitting of the actual CAM profile with the Cubic-periodic spline function according to the measured data of the CAM.
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