参数变换

On the basis of wavelet transform and S transform,through popularizing basic wavelet, the basic wavelet containing 4 kinds of unknown parameters (amplitude, energy attenuation rate, energy-delay time and apparent frequency ) was constructed, realizing generalized S transform.

在小波变换和S变换基础上，通过对基本小波的推广，构建含有四类待定参数(振幅、能量衰减率、能量延迟时间及视频率)的基本小波，实现广义S变换。

In view of crosswell and 3D VSP layout, we use high resolution Radon transform based on Cauchy distribution to perform Radon transform for hole data. In this process, we study discrete dip overlay operator, improve damping factor that affects Radon energy convergence in order to let Radon energy converge, 6 resolve leggy in Radon data, and decouple smoothing effect among each energy group, we use Cauchy distribution to regularize data, let energy focus on one point, and improve Radon resolution. All these work well in wavefield separation. Finally, by inversion results and model trial, we verify the feasibility and stability of this method.

在Radon变换原理分析基础上，采用基于柯西分布的高分辨率线性Radon变换对井孔数据进行Radon变换，其间通过对离散倾角叠加算子求取的研究，及对影响Radon能量收敛的重要参数阻尼因子算法的改进，使数据在Radon域以能量团的形式呈现，得到很好的收敛效果，基本解决了Radon域数据的一定程度的拖尾现象，消除了各能量团之间的平滑效应，采用柯西分布来规则化数据，提高了Radon域的分辨率，Radon域能量也收敛到一个点上，有利于上下行波或纵横波波场分离。

In view of crosswell and 3D VSP layout, we use high resolution Radon transform based on Cauchy distribution to perform Radon transform for hole data. In this process, we study discrete dip overlay operator, improve damping factor that affects Radon energy convergence in order to let Radon energy converge, 6 resolve leggy in Radon data, and decouple smoothing effect among each energy group, we use Cauchy distribution to regularize data, let energy focus on one point, and improve Radon resolution. All these work well in wavefield separation.

在Radon变换原理分析基础上，采用基于柯西分布的高分辨率线性Radon变换对井孔数据进行Radon变换，其间通过对离散倾角叠加算子求取的研究，及对影响Radon能量收敛的重要参数阻尼因子算法的改进，使数据在Radon域以能量团的形式呈现，得到很好的收敛效果，基本解决了Radon域数据的一定程度的拖尾现象，消除了各能量团之间的平滑效应，采用柯西分布来规则化数据，提高了Radon域的分辨率，Radon域能量也收敛到一个点上，有利于上下行波或纵横波波场分离。

The method involves an iterative procedure, which incrementally flattens a 3D triangular mesh by region growing and obtains a parameterization with free boundary. The result is then converted to a parameterization with regular boundary by conformal mapping. Our method accounts for both the angle and area distortion during parameterization, it yields a parameterization with less global distortion and no triangular flipping.

采用区域增长算法逐层展平空间三角网格，得到空间三角网格曲面的自由边界的参数化结果，并利用保形变换将自由边界的参数化结果变换为规则边界的参数化结果；同时兼顾了参数化的角度变形和面积变形，使得参数化结果具有整体变形较小的特点，并能够避免三角形折叠的现象。

A simple polynomial approach for A Class of nonlinear system modeling is presented. By this, the input-output data are firstly changed into [0, 1] by using topological homeomorphism conversion; then an initial polynomial model is selected. The parameters of polynomial model are estimated by using recursion least squares method. A final polynomial model is obtained by repeatedly estimating parameter and eliminating redundant terms.

给出一类非线性系统的实现简单的多项式逼近的建模方法，在此方法中，将输入输出数据通过拓扑同胚变换，变换到[0，1]区间内，用多项式逼近的方法进行建模，对初始给定的多项式模型，通过反复的参数辨识、去除模型中的冗余项，得到非线性系统的多项式逼近模型，再利用拓扑反变换，将数据还原回原始数据区间。

By taking use of self-adaptive searching algorithm, optimal parameters of Incomplete Beta Function can be acquired, thereby obtaining the corresponding optimal transform curve. In this paper, Incomplete Beta Function is applied in contrast enhancement of container cargo inspection image, and the advantages of this function are well illustrated by comparing the experimental results.

Tubbs将图像增强处理中几种常用的非线性变换函数，表示成了一个归一化的非完全Beta函数，通过自适应搜索算法可以确定Beta函数的最佳参数，从而确定了相应的最佳变换曲线，将该函数应用于集装箱检测图像的对比度增强，通过对实验结果的比较，说明了该变换函数的优越性。

In order to solve the linear strong parametrical excitation equation, the method for solving strong parametrical excitation Mathieu equation is brought out. With the introduction of a new conversion, the strong parametrical excitation problem is converted to weak parametrical excitation problem. The second order approximate periodic solutions are obtained and the transition curves are gained by using a modified strained parametrical method.

为适应求解垂荡与纵摇耦合运动的线性强参数激励方程，提出了强参数激励Mathieu方程的求解方法，通过引入新的变换，将强参数激励问题转化为弱参数激励问题，应用改进的变形参数法求其二阶近似周期解和过渡曲线。

By introducing a parametric canonical transformation,Hamiltonian constraintequation in SO(3)ADM phase space is transformed into the parametric formin the Ashtekar phase space.

本文中提出了一个参数化的正则变换，将Palatini理论中SO(3)ADM相空间中的哈密顿约束方程变换到阿西特卡相空间，由此导出参数化的约束方程。

An Integer Wavelet Transform with parameters is firstly constructed and the transmutative Rijndael code is used to construct a Hash function, and then a visible digital watermark algorithm based on the Integer Wavelet Translation with parameters, Discrete Cosine Transform and the Transmutative Rijndael encryption algorithm are presented.

构造出了带参数的整数小波，应用变型的Rijndael密码构造出了Hash函数。提出了一种基于带参数整数小波变换、离散余弦变换及变型Rijndael加密算法的可见数字水印算法。

On the basis of comparative analysis of the relevant micro-imagemosaicing algorithms, a suitable algorithm is choosed to combine local images to ahigh-resolution images of greater vision, which is better for pathologist to observe cervical cellmorphology. By some measurement algorithms of pathological cells and metal particulate which are reported in magazines, cervical cell parameters measuring and nucleus plasm ratio analysisare better realized.

本论文通过将成熟的图像处理算法有针对性地用于宫颈细胞图像处理，较好的实现了对宫颈细胞图像几何变换，色彩变换，平滑，增强，边缘检测；在对比分析相关显微图像拼接算法的基础上，选择合适算法将局部图像合成更大视野的高分辨率图像，供医生更好的观察细胞形态；将相关文献中报导的处理病理细胞和金属微粒形态测量的算法用于宫颈细胞形态参数的测量，较好的实现了细胞形态参数测量及细胞核浆比分析等功能。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。