查询词典 interpolating spline function

Because of the condition of 〓 for two neighbour parametricspline surfaces is too strong,here,instead of it,some simple and practicableconditions of 〓 resulted from the general theorem obtained by Prof.LiuDing Yuan in Chapter 1 were proved,and three 〓 triangular splinesurfaces schemes wre presented:one is piecewise cubic spline surface patcheshaving local 〓 and whole 〓 continuity based on the refined HCTtriangulation,another is the same degree spline surface patches but based onthe refined Powell-Sabin triangulation,the third is piecewise quartic splinesurface patches having local 〓 and whole 〓 continuity based on therefined P-S triangulation.

由于对参数曲面，一阶导数连续的要求较强，我们采用第一章从刘鼎元定理导出的简单实用的几何连续条件，讨论了基于HCT加细三角剖分和P-S加细三角剖分上的两种局部达一阶导数连续而整体有一阶几何连续的分片三次样条曲面构造算法，一种局部达二阶导数连续整体有一阶几何连续的分片四次样条曲面构造方法。

They are presented in need of special curves and surfaces in engineering applications. In order to prove that the uniform C-B-spline basis is normalized totally positive, we compute the matrix which transforms the C-Bézier basis into the uniform C-B-spline and decompose this matrix into a product of. bidiagonal and stochastic factors.

本文用递推的方法，计算出代数三角空间中的n次C-Bézier基与n次均匀C-B-spline基之间的转换矩阵，并把该矩阵分解为一系列二对角阵的乘积，从而证明出n次均匀C-B-spline基是一个标准全正基，进一步用插入节点的方法，把它扩充为一组标准B基，从而我们可以利用B基的很多优良性质，在工程应用中对这两组基进行开发利用。

They are presented in need of special curves and surfaces in engineering applications. In order to prove that the uniform C-B-spline basis is normalized totally positive, we compute the matrix which transforms the C-Bézier basis into the uniform C-B-spline and decompose this matrix into a product of. bidiagonal and stochastic factors. Furthermore, we give a normalized B-basis by inserting knots.

本文用递推的方法，计算出代数三角空间中的n次C-Bézier基与n次均匀C-B-spline基之间的转换矩阵，并把该矩阵分解为一系列二对角阵的乘积，从而证明出n次均匀C-B-spline基是一个标准全正基，进一步用插入节点的方法，把它扩充为一组标准B基，从而我们可以利用B基的很多优良性质，在工程应用中对这两组基进行开发利用。

Properties of bi quadratic B spline surface are investigated by the subdivision approach, and the control mesh of bi quadratic B spline surface is constructed by employing Doo Sabin subdivision to derive the parametric representation of interpolation surface.

文中利用子分曲面理论研究双二次 B样条曲面的性质，在此基础上利用 Doo- Sabin子分模式构造插值顶点位置和法向的双二次 B样条曲面控制网格，得到插值曲面的参数表示。

And the polar angle and the polar radius was represented into AutoCAD polar coordinate, the involute was drawn through the spline linear tool. And then, a section of the involute was intercepted with the diameters of the point circle and the root circle, used it as the tooth face of the spline. The involute tooth thickness was drawn using the diameter of the divided circle and the tooth-form was drawn through rotating, mirroring image and cutting.

根据DIN 3960渐开线花键的坐标值，用EXCEL函数功能计算出不同压力角下渐开线的极角和极半径，表示成AutoCAD极坐标并通过样条线工具绘制出渐开线，再用齿顶圆和齿根圆直径截取一段渐开线作为为花键齿面，并用分度圆直径绘制出渐开线齿剖面，经镜像和裁剪便可绘制出渐开线齿形。

Basing on the coordinating equations of multivariate spline space, we firstly study the smooth connection problem of the bivariate quadratic polynomial spline functions which defined on the polygonal region with one interior net

最后说明了在一种类1—型三角剖分上二元二次样条函数s∈S_2~1的存在性及在其上曲面光滑连接的可行性。

With the point near the corner and the point on any edge of the corner, a piece of quartic spline curve was constructed to approximately calculate the geometrical parameter of the constructed quintic spline curve, An example of reconstructing a corner was given, and the reconstructed curve was interpolated, after which the feed rate, acceleration and jerk were analyzed respectively.

利用拐角附近点及其一条邻边上的点构建一条四次样条曲线近似计算构建的五次样条曲线几何参数。

In fact,this rational quartic spline is the successful generalization of quartic polynomial spline.

事实上，这种有理插值样条曲线是C~2连续的四次多项式样条的成功推广。

Introduced is a kind of space uniform rational spline curve, which possesses tension parameters and is based on hyperbolic spline functions.

引入了基于双曲样条函数的、具有张力参数的空间有理等距节点样条参数曲线，给出了这种曲线在每个样条子区间上为挠曲线段的充分必要条件；分析了这种挠曲线段没有尖点、重结点和泛拐点的特性；因而在用于空间曲线几何造型时可避免奇异性。

To overcome the great dependence of interior parameters and the easy being affected by the complex background of Ribbon Snake, a B-spline Ribbon Snake was constructed, where the smoothness of the Snake was implicit in the B-spline formulation and the flexibility of the Snake was adjusted by the number of control points.

为了克服模型对内部参数依赖性较大、容易受到复杂背景干扰影响的不足，采用B样条曲线对道路的平滑性进行约束，与Ribbon Snake相结合建立道路提取算法，通过调节控制点的数目增强曲线的灵活性。

As a dominant party,CPC government should play a guardian,supervisee and guarantee role to overcome all the difficulties in the development of charitable cause and bring it into full play in the establishment of harmonious society on policies and regulations basis.

在中国共产党的文献中第一次把发展慈善事业提到&最广泛最充分地调动一切积极因素，不断提高构建社会主义和谐社会的能力&的高度来认识。近年来，社会学界对慈善事业的理论专著发表较多，有鉴于此，笔者不揣浅陋，谈谈自己的认识和见解。

Flow through the land, the land of the scale of operation allows the effectiveness of the land may be raised.

通过土地的流转，土地的规模经营可以让土地的效益得到提升。