查询词典 spline interpolation

1 Rectangular spline Processing of convenience, can be used to obtain high precision grinding method, but usually use within the spline spline broach, spline hole for the unreasonable can not be processed, had to use slotting processing, low accuracy.

1.1 矩形花键加工方便，可用磨削方法获得较高的精度，但内花键通常要用花键拉刀，对于不通孔的花键就无法加工，只好用插削加工，精度较低。

Spline Broach complexity of the design process, the geometric parameters, many of which need to look-up table and complex calculation to determine the parameters of a certain size, Design Spline Broach all forms and formulas into C language are procedures, through a simple C program calls, importation Spline Broach the technical parameters can be accurately its design parameters, Finally, all the parameters of integrated print out data tables, thus simplifying the complex Spline Broach design process, and meet the design requirements.

花键拉刀设计过程复杂，几何参数多，许多都需要查表和复杂的计算来确定某一参数尺寸，把花键拉刀设计中所有表格和计算公式都编成C语言程序，通过简单的C程序调用，输入花键拉刀的技术参数就可以准确得到其设计参数，最后把所有的参数值综合打印出数据表格，从而简化了复杂的花键拉刀设计过程，且达到了设计的要求。

Spline Broach complexity of the design process, the geometric parameters, many of which need to look-up table and complex calculation to determine the parameters of a certain size, Design Spline Broach all forms and formulas into C language are procedures, through a simple C program calls, importation Spline Broach the technical parameters can be accurately its design parameters, Finally, all the parameters of integrated print out data tables, thus simplifying the complex Spline Broach design process, and meet the design requirements.

花键拉刀设计过程复杂，几何参数多，许多都需要查表和复杂的计算来确定某1参数尺寸，把花键拉刀设计中所有表格和计算公式都编成C语言程序，通过简单的C程序调用，输入花键拉刀的技术参数就可以准确得到其设计参数，最后把所有的参数值综合打印出数据表格，从而简化了复杂的花键拉刀设计过程，且达到了设计的要求。

Algebraic curve is commonly used in CAGD. Traditional curve interpolation is in various forms of spline fuction. Although better result can be obtained by spline curve, the former two of elliptic, hyperbolic and parabolic shapes can not be represented by spline curve. An exploring research in this aspect is made in this thesis.

代数曲线是CAGD中经常用到的曲线，以往的曲线插值基本上是采用样条函数的形式，采用这种形式虽然能够获得很好的效果，但样条函数所能表达的形状都是抛物线型，对椭圆型与双曲线型曲线的表示是无能为力的。

The basic idea is as follows: first, a kind of plane α-B-spline interpolation curve with a shape control parameter a is constructed; then, by converting the first derivatives of the curve into Bernstein polynomial, the positive conditions of Bernstein polynomial can be used to get the necessary and sufficie nt conditions for the monotonicity of α-B-spline interpolation curves, i.e., the range of the parameter a. Therefore, monotone-preserving interpolating curves can be obtained succinctly.

其基本思想是：首先构造带有形状可调参数的一类平面(-B样条插值曲线，再把其一阶导矢的两个分量分别转化为Bernstein多项式，从而利用Bernstein多项式的正性条件，得到此曲线为单调的充要条件，即形状参数的取值范围，简单、快捷地实现此参数样条曲线的保单调插值。

The benefit of this method is its mathematical simplicity and its consequent ease in programming. Secondly, it brings out a new 3D interpolation method—hypersurface spline method, this method extends the surface spline method of 2D interpolation into 3D space.

其次，提出了一种基于超曲面样条函数进行三维空间插值的新的三维空间插值方法，该方法将二维的曲面样条函数插值法进一步拓展到三维空间。

After analysing the existing smooth orientation interpolation methods we proposed a smooth orientaion interpolation method based on cubic cardinal spline in quaternion space. This method possesses the following advantages: interpolation, C〓 continuity, accurate evaluation of the quaternion value at arbitrary parameter, transparent to the users, adjustable parameters for controlling the velocity of orientation change.

在分析现有的朝向光滑插值方法基础上，提出了基于四元数空间三次C样条的朝向光滑插值方法，该方法具有插值、C〓连续、任一参数处的四元数值可精确求得、对用户透明、可以用参数调节关键帧处物体朝向变化的速度等优点。

Secondly, the performance simulation and analysis of these methods such as linear interpolation polynomial interpolation,Spline-cubic interpolation and an improved dicision-directed are performed.

首先分析了基于维纳滤波理论的二维维纳滤波估计和两个级联的一维滤波器的信道估计方法。

There are some mature curve fitting methods in the reverse engineering, such as Lagrange interpolation, piecewise polynomial interpolation, least square method and spline interpolation.

成熟的曲线拟合方法有拉格朗日插值法、分段多项式插值法、最小二乘法和样条曲线插值法等，本文在分析各自优缺点的基础上，提出选用三次样条曲线拟合法。

Main methods are: the nearest interpolation double linear interpolation cubic spline interpolation and other methods.

主要方法有：最邻近插值；双线形插值；三次样条插值等方法。

The production moved off-Broadway to New York City, where she won the Joseph E. Calloway award for her performance, and was profiled in American Theater Magazine as one of ten young theater artists to watch.

生产提出过百老汇的新的纽约市，在那里她赢得了约瑟夫calloway奖，她的表现，并于异型在美国的战区杂志之一， 10战区的青年艺术家观赏。

It's a risk tradeoff, and I believe that adding test support code usually wins.

这是一个风险的权衡，我相信添加测试代码通常会占上风。