查询词典 spline interpolation

The technique of perturbations constraint when applied to degree reduction of Bézier curves gives fairly well results This paper discusses why these kind of technique have limitation when applied to B-spline curves, and the least squares approximation approach is presented for reducing the degree of B-spline curves Examples comparing the new method with existing ones are illustrate

将扰动约束技术应用于B啨zier曲线的降阶给出了理想的结果讨论了将这类方法应用于B样条曲线降阶时结果不理想的原因，提出了采用最佳平方逼近技术对B样条曲线做降阶运算的方法；并用实例对该方法和基于扰动约束的降阶方法进行了比

Because of cubic B spline curve have several advantages such as local controllable, continuity etc, an active contour model based on cubic B spline curve is proposed in this dissertation.

针对以上问题，结合三次B样条曲线连续性及局部可控性的特点，本文提出了一种基于三次B样条曲线的主动轮廓模型。

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。

Sequential spline function fast algorithm and a dimension-reducing algorithm for the parametric variable spline for data processing are deduced, whose advantage in memory and computing speed is discussed.

推导了数据处理的序贯样条快速算法及参变量样条凝聚算法，讨论了它们在存储量和运算速度方面的优点。

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。

Metrorrhagia is also gynaecological problems of common diseases.

崩漏是妇科常见病也是疑难症。

WordFTP gives you the convenience and timesaving you need.

wordftp让您的方便和省时您所需要的。