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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。

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。

Consider the dependencies between the coefficients and their parents, a non-Gaussian bivariate distribution is given, and corresponding nonlinear threshold function is derived from the model using Bayesian estimation theory. According to non-subsampled Contourlet transform and bivariate threshold function, a novel Non-Subsampled Contourlet Transform based on Bivariate threshold function for image denoising is proposed. This scheme achieves enhanced estimation results for images that are corrupted with additive Gaussian noise over a wide range of noise variance.

该文依据非下采样Contourlet分解系数与其父系数之间的相关性，给出非高斯双变量分布，对该模型应用Bayes估值理论推导得到相应的非线性双变量阈值函数，综合非下采样Contourlet分解和双变量阈值函数，提出一种基于双变量阈值的非下采样Contourlet变换图像去噪方法。

We also analyze the mechanism of the initial zinc blende structure and wurtzite structure phase transition in II-VI and III-V compound materials. The results indicate that the transition of zinc blende structure to rocksalt structure due to "chair" structure transform, the transition of wurtzite structure to rocksalt structure due to "chair" and "boat" structure transform.

对II-VI族和III-V族初始相为闪锌矿或纤锌矿的压致结构相变机制进行的分析表明，闪锌矿结构到岩盐矿的相变是因为"椅式"结构的变化，纤锌矿结构到岩盐矿的相变是因为"椅式"和"船形"两种结构的变化。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。