变换点

In this paper, We firstly present a nonuniform sampling DCT method based on the relationship of Chebyshev polynomial interpolation and DCT, in which, the sampling points are chosen as zeros of Nth degree Chebyshev polynomials of the first kind.

文章首先利用Chebyshev多项式插值与DCT变换之间的相互关系，提出了基于第一类Chebyshev多项式的第N次多项式的零点作为非均匀取样点的DCT变换方法。

According to induced response method, the expression in frequency domain of pressure response at the end of pipeline is derived using impulse response method and convolution theorem. The expression indicates that that transfer function is only related to the characteristics of pipeline system and the Fourier transform of flow variable only depends on the operating characteristics, and the pressure response in frequency domain is linear with the Fourier transform of flow variable.

基于激励响应法，应用脉冲响应方法和卷积定理得出了管道末端压力响应在频域中的表达式，此式表明：传递函数只与系统的特性相关，流量变量的傅立叶变换只与操作特性相关，且压力频域响应与流量变量的傅立叶变换为线形关系，根据此式在理论上能够得到管道泄漏点的重要信息。

This dissertation addresses a practical data processing method of free-form surface for the coordinate measuring machine, including fitting algorithm, probe radius compensation and surface matching .

以坐标变换理论和最优化算法为基础，提出了应用单纯形法，对原始测量点进行坐标平移和旋转变换，将理论坐标与实际坐标统一起来，在此基础上进行误差处理，从而较好的解决了曲面匹配问题。

Each cell was mapped by the center point on the cell of transverse section with extended up and down for four pixel (nine-pixel lengths in total) and two pixels in width, and thereafter line convoluted dot map was obtained. Through Fourier transformation, the frequency distribution of power spectrum pattern from both horizontal and vertical direction was obtained, and the cell diameter in radius and tangential direction was known from the maximum value except 0 in the distribution.

把每个纤维细胞都用其中心的一个长9个像素点、宽2个像素点的线段点图表示，进行傅立叶变换，其能量光谱图在水平和垂直方向上的频率分布，除零值以外的最大值，即为细胞径向、弦向直径。

This method bases on distance transformation in Euclidean metric with the computational complexity of O(2+kn,and is the same with non-Euclidean metric space.

基于欧氏空间中离散点集的2阶V图距离变换原理，论述了栅格形式下离散点集和一般点集图形的2阶V图生成的方法，确定了它的时间复杂性为O(2+kn，适用于欧氏及非欧度量空间的自然图形2阶V图构造。

After analyzing in the Gaussian point expansion function curve,there has several points of interest,and good showing in degraded image.These points of interest and spread function parameter have certain relations.

分析发现高斯型点扩展函数曲线中，存在着几个特征点，它们很好地表现在降质的图像傅里叶变换图像中，这几个点与扩展函数参数存在着一定的关系。

And the xyz-coordinates of the two point diffraction sources were calculated by the modified Newton method based on the Broyden-Fletcher-Goldfarb-Shanno alg.

基于傅里叶变换的点衍射干涉测量术是一种建立在点光源衍射干涉理论基础上的测量方法，它采用傅里叶条纹分析方法来求解干涉条纹的相位分布，运用基于BFGS的拟牛顿算法进行三坐标的迭代计算，确定点光源的三维空间坐标。

It is a measurement method following the diffraction and interference theory of the point light source. The phase message of interference pattern was obtained by the Fourier transform pattern analysis method. And the xyz-coordinates of the two point diffraction sources were calculated by the modified Newton method based on the Broyden-Fletcher-Goldfarb-Shanno algorithm.

基于傅里叶变换的点衍射干涉测量术是一种建立在点光源衍射干涉理论基础上的测量方法，它采用傅里叶条纹分析方法来求解干涉条纹的相位分布，运用基于BFGS的拟牛顿算法进行三坐标的迭代计算，确定点光源的三维空间坐标。

The accurate transformation matrix between two images can be estimated within the inliers subset.

点与外点，在内点域中精确计算图像之间的变换关系。

Then the fixed point of transformation can be found, among which those unstable ones are critical points of phase transition.

然后找出重整化变换的不动点，在所有不动点中那些不稳定不动点是发生相变的临界点。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。