查询词典 spline interpolation

The given method takes the Hermite interpolation curvcs and the cubic non-uniform B-spline curves as the special cases and unifies the representation of the curves interpolating the control polygon and the cubic non-uniform B-spline curves approximating the control polygon.

所给方法以Hermite型插值曲线和非均匀三次B样条曲线为特殊情形，将插值于控制点的曲线和逼近于控制多边形的非均匀B样条曲线统一起来。

This paper uses cubic spline interpolation function, setting up a mapping between control inputs and control outputs directly based on the data of control input-output, and receives the control algorithm of cubic spline interpolative control for single variable and two variables to separately control the first order system and second order system.

本文利用三次样条插值函数，直接由控制输入输出数据对建立了控制输入与控制输出之间的映射关系，得到了一元三次样条插值控制算法和二元双三次样条插值控制算法，二者可以分别对单输入单输出系统和双输入单输出系统进行控制。

Our method can deal with the interpolation of single uniform B-spline curve and a mesh of nonintersecting or intersecting uniform B-spline curves.

被插值曲线可以是单条均匀B样条曲线，也可以是多条相交均匀B样条曲线。

In the spline interpolation for well trajectory ,each coordinate of the well trajectory can be indicated as a 3-order spline which variated with well depth.

在计算实钻井眼轨迹的样条插值法中，假设井眼轨迹的每个坐标分量都可以表示成以井深为参数的分段三次样条函数。

This paper is mainly focused on data segmentation and model reconstruction problems in Reverse Engineering fields,The main contents include Sharp Featurebased quadrilateral domain extraction from a mesh model,connectivity between multiple B-spline surfaces,fast algorithm for fitting multiple B-spline surfaces on model with arbitrary topology,setting up a hierarchically structured constraintbased data model and binary cubic interpolation of splines with C~2 connectivity for type-Ⅱtriangulations on rectangular domain.

主要内容包括：网格数据的数据分割及矩形片的提取、多个B样条曲面间光滑拼接、任意模型的多个B样条曲面拟合的分块快速算法、基于二元三次样条函数在TYPE-Ⅱ分割下的曲面重建方法、基于约束和层次结构的模型表示及一个小型逆向工程软件系统的建立等。

Prepared by the cubic spline interpolation function, TSS method diagonal matrix equation function, interpolation function point value function.

C#编写的三次样条插值函数，TSS法求解对角矩阵方程函数，插值点函数值计算函数。

It's the first time that from the angle of computational mathematics combined with the structure model of parallel machine, the parallel degree of the relevant algorithms in orthopaedics clinic engineering modeling system, such as piecewise cubic Lagrange interpolation formula, piecewise cubic Hermite's interpolation formula, cubic spline, Chebyshev multinomial fitting algorithms, least square method and contour curve multinomial algorithms, were discussed.

论文首次从计算数学的角度并结合并行机的结构模式出发，讨论了在骨科临床工程造型系统中可能涉及的如分段三次拉格郎日插值公式、分段三次埃尔米特插值公式、三次样条函数、切比雪夫多项式拟合算法，最小二乘法以及轮廓曲线多项式求值算法的并行度。

Three order spline interpolation is applied to simulating sucker rod string axis. The problem of discontinuous interpolation caused by azimuth angle periodicity is solved.

应用三次样条插值法对抽油杆柱轴线进行模拟，发现并解决了现有方法中由于方位角周期性而引起的插值不连续问题。

Firstly, several kinds of schemes were proposed according to the design demand. The best scheme was chosen after analyzing and comparing the schemes. The robot's structure was designed with Pro/Engineer and AutoCAD software. Secondly, the kinematics analysis conducted, coordinate transformation matrix using D-H method was set up, and the kinematics equation direct solution and inverse solution was deduced. The manipulative interface about the kinematics equation direct solution and inverse solution was completed with VC++ and the velocity Jacobian of displacement matrix was constructed using differential transform method. In the process of the trajectory planning based on robot's kinematics analysis, I propone a method by which we can get middle nodal point with normalizing factor in order to simplify our searching for these middle nodal points. In addition, I give these middle nodal points with actual physics signification. For eliminating contradiction between real-time and accuracy, I bring forward separately limit of error and reversal interpolation method. For decreasing calculation quantity, we resort to tri-spline interpolation in the articulation space.We analyse the work range of the robot by resorting to graphic means.

首先，作者针对机器人的设计要求提出了多个方案，对其进行分析比较后，选择其中最优的方案后用Pro/Engineer和AutoCAD软件进行了机器人模型结构设计；其次，进行了运动学分析，用D-H方法建立了坐标变换矩阵，推算了运动方程的正、逆解，运用VC++制作了正、逆运动学求解的求解界面；并且用微分变换法推导了速度雅可比矩阵；在基于机器人的运动学的轨迹规划中，通过在操作空间的规划，提出了归一化因子来求解中间结点，通过它可以使求解中间结点变得更简单，并且赋予这些中间结点实际的物理含义，对于规划中精确性和实时性的矛盾，提出了以误差极限法和反向插值法来解决的方法；为了减少规划过程中计算量，在关节空间进行三次样条插值；然后借助图解法进行工作空间分析，作出了实际工作空间的轴剖图。

Several interpolation methods are introduced, and their simulation results are compared, and cubic spline interpolation is proved to be the best.

对极坐标距离-多普勒成像中的常用插值算法做了比较，认为三次样条插值是一种比较理想的插值方法。

Putt your way through 36 fun-filled holes of minigolf on 3D designed courses with elevated greens, bunkers, bridges and water hazards, among other crazy obstacles.

您的推杆方式，通过36个有趣的填孔迷你的三维设计的课程，以提升绿党，掩体，桥梁和水的危害，除其他疯狂的障碍。

Some participles can be used either as attributes or as predicatives.

有些分词既可当定语用，也可当表语用。