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To extract shaft orbit\'s features invariant to rotation, scaling and translation, the unique strengths of Haar orthogonal matrix type are found, the horizontal and vertical coordinates of shaft orbit are fast proceeded by Haar transform, respectively, and the slopes with different resolutions are obtained at different positions by using the corresponding transform coefficients, and then the multi-resolution angles between the adjacent slope straight line are extracted skillfully and used for the hierarchical recognition, the recognition process accords with the principle of human\'s recognizing things by using hierarchy analysis approach.

为提取轴心轨迹平移、旋转、尺度不变性特征，本文挖掘出Haar正交矩阵在图形识别中的独特优点，引入Haar正交矩阵分别对轴心轨迹的横、纵坐标进行快速变换，并利用变换后的对应系数得到轴心轨迹不同位置不同分辨率下的斜率，继而推求出相邻斜率直线之间的多分辨率夹角，所获夹角用于轴心轨迹的分层识别，其识别过程符合人类识别事物层次分析的规律。

The perspective transform can be replaced approximately with affine transform when the distance between the camera and the object is larger than the dimension of the object.

当摄像机与景物之间的距离远远大于景物的尺寸时，射影变换可用仿射变换来近似代替。

In which, first of all, the influence of solid tide whose period is longer than 128 minutes is removed with high-pass filter, and the secondly, air-pressure influence is removed with linear regression method ,and then the signals for 2~128 minutes are decomposed into 6 different kinds of frequency bands with wavelet transform method. The results indicat that wavelet transform can be used to identify small change existed in deformation signal.

用高通滤波消除周期＞128分钟的固体潮汐影响，用回归分析方法消除气压干扰，用小波变换方法将2~128分钟的信号分解到6个不同频段进行分析，结果显示小波变换方法能提取出信号中的微弱变化信息。

Secondly, by applying inverse Fourier integral transform to the displacement, and uniting the constitutive and geometrical equations, the analytical expression of stress in Laplace domain were derived. Thirdly, by defining dislocation density functions, the Cauchy singular integral equations were obtained according to the boundary condition and interface connection conditions, and the problem was reduced to algebraic equations by Chebyshev orthogonal polynomial. Based the these, the unknown coefficient of the algebraic equations can be solved by Schmidt method. Finally, the time response of dynamic stress intensity factor and energy release rate are obtained by inverse Laplace transform.

首先，利用积分变换方法，推导出粘弹性层的控制方程组；其次，引入位错密度函数，并结合边界条件和界面连接条件，导出反映裂纹尖端奇异性的Cauchy型奇异积分方程组，然后，应用Chebyshev正交多项式化奇异积分方程组为代数方程组，并采用Schmidt方法对其数值求解，最后，经过Laplace逆变换，求得动态应力强度因子和能量释放率的时间响应。

In this paper, we detailed analyze the anisotropic transform and give an improved anisotropic transform.

我们对三维模型各向同性预处理进行了分析，给出了改进的各向同性预处理。

Based on the characteristic of multi-resolution analysis of wavelet transform, pitch detection algorithm with the combination of wavelet transform and weighted autocorrelation function is proposed here.

3基于小波变换的多分辨率分析特性，提出了小波变换与加权自相关函数相结合的基音检测算法。

Furthermore, The frequency-domain relationship between the electric flux density and the electric field is managed with the Z transform, which is of frequent use for digital filtering and signal processing. The optical pulse propagating in nonlinear and dispersive media is analyzed with Z transform, which is simpler than with auxiliary differential equation method.

同时利用数字滤波和信号处理中经常使用的Z变换来处理D和E间的频域关系，并具体分析了如何用Z变换法来处理非线性色散问题，此方法与辅助差分法相比要较为简单明了。

"Bilinear transform",In digital signal processing, the bilinear transform is a conformal mapping.

"，"在数位讯号处理中，双线性转换是一个保角转换。

Subline matching method based on binary system small wave transform is proposed, which expliots the character that the model maximum point of spline binary small wave transform coefficient at different scales can provide position information of signal's fast changing point. The matching scheme from thick to thin for point matching is adapted. Then, the point to point matching is calculated with the sequence consistent principle in each subline.

设计基于二进小波变换的子线段匹配方法，通过求解样条二进小波变换系数在不同尺度下的模极大点确定不同尺度下信号急速变化点位置，采用由粗到细的匹配策略匹配端点，再对端点之间的每一个子线段采用顺序一致的原则，进行点对点匹配。

In the image feature extraction stage, both global image features and local image features are introduced in this paper including gray-scale pixel values, Gabor Wavelet Filter, Local Binary Pattern, Scale Invariant Feature Transform and etc. In our experiments we focused more on Scale Invariant Feature Transform method and analyzed the detailed performances of these different methods for representing gender information.

在性别特征提取阶段，文中详细讨论了人脸图像全局特征和局部特征的提取方法，例如基于图像灰度的全局特征提取方法，基于小波滤波器变换的特征提取方法和基于局部二值模式的特征提取方法等，并提出了一种基于尺度不变性的特征变换提取方法。

But this is impossible, as long as it is engaging in a market economy, there are risks in any operation.

但是，这是不可能的，只要是搞市场经济，是有风险的任何行动。

We're on the same wavelength.

我们是同道中人。