查询词典 interpolation method

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。

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。

Regionalize by clustering helps improve the prognostic precision of different interpolation method. Concerning complanate hypsography such as plain and hill, the interpolation errors of accumulated temperature don"t have obvious change trends and regularity when the number of meteorological stations increase. Namely, increasing station density can"t effectively ameliorate interpolation error. In the regions where terrain is complex the interpolation errors present degressive trend with the increasing number of meteorological stations.

在平原，低山丘陵等地势平坦的地区误差对站点密度增加的响应不具有明显趋势和规律性，即站点密度的增加对插值误差的改善没有明显效果；在地形复杂，地势起伏大的地区误差随站点密度的增加在一定范围内呈大幅度下降趋势，即插值站点数的变化对插值结果有较显著的影响。

Romberg first use of the method is integral for integration, Then the results obtained by using the interpolation method were obtained Lagrange polynomial interpolation polynomial interpolation and Newton, re-use of least squares fitting of thinking obtained polynomial, the last of these different types of polynomial, identify their respective strengths and weaknesses.

首先运用Romberg积分方法对给出定积分进行积分，然后对得到的结果用插值方法，分别求出Lagrange插值多项式和Newton插值多项式，再运用最小二乘法的思想求出拟合多项式，最后对这些不同类型多项式进行比较，找出它们各自的优劣。

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。

A sample numerical design method for constant beamwidth beamformer is given. This method is easy to implement and has no restriction on array geometry and sensor patterns; Three methods for the design of broadband frequency invariant beamformer are proposed, which are the method of resampling signals received by the array, the DFT interpolation method and adaptive synthesis method, respectively. Examples and performance analyses are given for each method; A simplified linear constrained minimum variance broadband adaptive algorithm that based on DFT interpolation method is presented. Compared with conventional broadband adaptive algorithms, the presented method can reduce computation work greatly.

提出了一种简单、易于实现的恒定束宽波束形成器设计方法，该方法对阵形和阵元指向性没有任何限制；分别提出了基于阵列接收数据重采样、基于DFT插值和自适应综合的三种具有频率不变波束图的宽带波束形成器设计方法，对于每一种设计方法都给出了一个设计实例并做了性能分析；提出一种基于DFT插值的简化线性约束最小方差宽带自适应阵列算法，该方法可以大大降低自适应阵列的运算量。

Therefore,a series studies of ice-pier vibration are performed from different aspects in this paper.The main work of this his thesis is summarized as follows:(1) Ice response spectra is proposed based on the idea of a seismic response spectra analysis of str .. uctures.Firstly,ice response spectra on the basis of power spectra density function is established;Secondly,based on the assumption of quadratic parabolic interpolation method,the nonlinear interpolation analysis method of ice response spectra is studied from both theoretical and practical points of view,and the successive computation formulas including ice displacement,velocity and acceleration response spectrum are deduced by Duhamel integral.Furthermore,to analyze the effectivity and applicability of the method, the real temporal curves of ice pressure are used to be studied.The results show that the presented method is more convenient and accurate to study the structural response induced by ice force,also it can be effectively applied in the design of ice resistance.

鉴于此，本文针对冰激桥墩结构振动问题从不同方面展开了一系列与之相关的研究，主要研究内容如下：(1)根据结构抗震反应分析思想提出了冰振反应谱，首先建立了基于功率谱密度函数的冰振反应谱；其次借鉴地震反应谱内插法的思想从理论和实际观点出发，假定在等距离微小时间间隔内冰荷载按二次抛物线规律变化，由Duhamel积分推导出冰振位移、速度以及加速度反应谱的一系列连锁公式，建立了基于非线性内插法的冰振反应谱，并利用实际冰压力时程曲线进行了冰振反应谱数值分析，为以后冰激结构振动的研究提供一种方便、简捷、精确的分析方法，也能够将其有效地应用到结构的抗冰计算中。

Simulation results prove that the performance of the new method is similar with the linear interpolation method at the lower velocity; while it is better than the linear interpolation method at the higher velocity and a little worse than the quadratic polynomial interpolation.

通过仿真表明，在低车速时，该算法的误比特率性与线性插值方法基本相同；而在中高车速时，该算法的误比特率性能要明显优于线性插值信道估计方法，与二次插值信道估计方法的性能基本相同。

Applying this method, Interpolation Method and Comprehensive Trophic Level Index Method to evaluate eutrophication of Chaohu Lake, the results showed that there was significant difference between this method and Interpolation Scoring Method, and the most significant difference between this method and Comprehensive Trophic Level Index Method.

该方法对巢湖富营养化的综合评价结果与插值评分法有显著差异，与综合营养状态指数法有极显著差异。

Due to the luck capability in the floating-point operation of PCC, the interpolation method most compatible with the axial-flow adjustable-blade water turbine collaboration can be confirmed, compared with the other collaboration interpolation method. The method is improved on the basis of regular linearity interpolation. It increases the precision of interpolation and rapidity of operation.

2：针对PCC浮点运算能力不够强的特点，通过对比多种协联插值方法，寻找出适合在轴流转桨式水轮机协联运行中运用的插值方法，该方法在常规线性插值的基础上进行了改进，做到了在提高插值精度的同时，又兼顾了一个较快的运算速度。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐