查询词典 interpolating spline function

In fact, we can get the optimal tangents just by solving a system of linear equations with tridiagonal coefficient matrix. Then we can construct interpolating curves with continuous curvature locally just with end points, tangents and curvatures.

整条曲线可以通过构造插值端点、端切向以及端曲率的曲线得到；通过对型值点处的曲率进行低通滤波处理并对型值点进行相应调整，可以得到平面点列的一种自动光顺算法。

Interpolating trigonometric polynomial parametric curves with C~2 (or G~1) continuity can be automatically generated without having to solve any system of equations or do any iterative computation. Then, the convexity of the constructed curves can be guaranteed by the appropriate value of the shape parameter.

在无需反求方程组、迭代计算和最值求解的前提下，即可产生插值给定点列的C~2或G~1连续的一族三角多项式样条曲线；进一步研究了该类曲线的保凸性，得到插值曲线保凸时形状参数的取值范围。

The ptical adjointing effect calibration method comprises: parameter initialization, precorrection, sampling an initial frequency, interpolating to calculate light intensity and dividing small lines, in an optical adjointing effect calibration cycle, using a dynamic adjusting algorism to adjust the division result to attain the result of the optical adjointing effect calibration.

包括参数初始化，预校正及初始频率采样，插值计算光强并切分出小线段，并在光学临近效应校正循环中利用动态调整算法对切分结果进行调整，从而取得光学临近效应校正的结果。

Using digital signal processor can reduce the calculating time. Since the control pulses of axes are synchronistical during timer interrupt periods, the interpolating trajectory are significantly improved.

利用数字信号处理器进行三次B样条曲线实时插补，可缩短插补计算时间；通过设定DSP的定时器中断来实现各轴控制脉冲的发送，可实现最大限度地减少折线状的插补轨迹的目的。

The method has extended the image unwarping capability of the existing methods for SVP omni-cameras to tolerate lens/mirror assembly imprecision, which is difficult to overcome in most real applications. A new method called "edge-preserving 8-directional two-layered weighting interpolation" is proposed for interpolating unfilled pixels in a perspective-view or panoramic image resulting from unwarping an omni-image taken by a non-SVP omni-camera.

b 提出一个称为&双层八方向之边缘保存权重式插补(edge-preserving 8-directional two-layered weighting interpolation)&方法，可用以插补从一个非单一视点之全方位摄影机摄取之全方位影像转正到透视(perspective-view)或环场影像之未填充像点。

In this paper,the updated Snake model is used to solve the echocardiography processing.Based on the updated active contour model,the contour points for two-dimensional slice serial of echocardiography are gotten.On this basis,through calculating the distance between the contour points of each two-dimensional slice and the center axis lines,the distance matrix from the four cambers of the ventricle to the center plane of ventricle are gotten.And through interpolating,smooth handling and filtering,the 3D endoscopic surface of ventricle is fitted out.Besides,in the medical measurements field,the slice area of ventricle and the volume of ventricle are measured,and the trend of slice area is also analyzed.

将改进的Snake模型应用于心脏超声波图像处理：基于改进Snake模型的思想，得到了心脏超声波图像二维切片序列的轮廓点，在此基础上，得到分割出的心室上下左右4个曲面上轮廓点到中心平面的距离矩阵，并通过插值和平滑处理以及滤波处理工作，拟合出心室的三维曲面图，取得了较好的效果；在医学测量方面，对心室的切片面积、变化趋势及心室的体积进行了测量。

It is also more trifling on hardware design as well. If we can reach the same quality after interpolating but with easier operation, it is also a great improvement on Interpolation Algorithm.

在第三章除了介绍我们的补插方法并与第二章所介绍的演算法一起比较，并针对运算复杂度和补插后的影像品质去分析比较，让大家更能够了解我们的演算法与其他方法之间的优、缺点。

The system of the invention essentially comprises a frequency mixer, a cascade connection integral comb filter, a fraction-time interpolating device, a half-band filter, a signal shaping filter, a power detection module and a control interface.

系统主要包括混频器、级联积分梳状滤波器、分数倍内插器、半带滤波器、信号成形滤波器、功率检测模块以及控制接口。

On the basement of conventional direct fan-beam reconstruction, this paper gives a newly improved algorithm-"fast filtering-backprojection". This method utilizes the symmetrical circle geometry to sample projection data, and reconstructs image on the Polarcoordinate firstly, then translates this reconstructed image onto the cartesian coordinate system with two interpolating operations so that the computer can show the result image on the VGA screen. This algorithm rebates the calculating backprojection greatly, and shortens a few times of reconstructing time than same kinds of means. With the size of image enlarging, the reconstructing time abates with 2 exponent times. In addition, according to the idea of parallel-beam, we rearrange the fan-beams and reconstruct image using parallel-beam method fastly. The rearranging constraint condition is given here.

本文首先在传统的扇束直接重建方法的基础上，提出了一个改进的快速滤波反投影重建算法，它利用旋转采集投影数据的圆周对称的几何关系，先在极坐标系统内进行图象的重建，然后通过两次内插运算再将图象转换到计算机显示方式下的笛卡尔坐标系中去，该方法将以往的直接重建方法中的反投影时所需的运算大大降低，并将重建时间比同类方法缩短了几倍，而且随着重建图象的尺寸的增大，重建时间以2的指数次方倍相对缩短，并获得了较好质量的重建图象；另外，又根据平行束投影重建图象的思想，对扇形射束进行了重排，然后利用平行束重建图象的方法进行扇束的重建，并推导了&扇束重排重建图象&方法的约束条件。

Increase of the regularity of interpolating scaling functions efficiently improves the approximation power of systems, moreover, that of dual scaling functions markedly enhances the smoothness of duals and improves the frequency characteristics of analysis filters in passband and stopband.

内插尺度函数正则度的增加有效提高了系统的逼近能力，对偶正则度的提高显著增加了对偶尺度函数、对偶小波的光滑性，改善了分析滤波器组的通带、阻带特性。冗余度在一定意义下制约了小波系统的性能。

Mr. Putin said there were signs of genocide against the Ossetian people.

普京说，有迹象表明对南奥塞梯人进行了种族清洗。

What I'm trying to say, Tristan is...

特瑞斯坦。我想说的是。