点变换

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。

Such characteristic vector can be applied to further signal processing and fault diagnosis of high current LIA.

应用小波变换具有良好的时频局部特性，通过对强流直线感应加速器脉冲信号的去噪声、信号突变点检测以及时间间隔测量等处理，表明小波变换在LIA信号处理中有广泛的应用前景；利用小波包分析的每个节点都代表了对应频带的信号特征的特点，对"神龙一号"快脉冲波形数据进行小波包变换，以各频带信号能量为元素构造特征向量，实现了高维波形数据的特征值提取，达到了数据压缩和降维的目的，为进一步实现LIA故障智能诊断、预测维护提供了一种可行的途径。

We proposed and proved three theorems through which the theoretical formula of cosine transform spectrum of gravity anomalies of the point mass and the vertical rectangular-cylinder was deduced in order to obtain the general equation of gravity anomalies.

为获得重力异常余弦变换谱的通式，提出并证明了3个定理；利用它们推导了点质量和直立矩形柱体的重力异常余弦变换谱理论公式，同时给出了重力异常余弦变换谱通式。

We proposed and proved three theorems through which the theoretical formula of cosine transform spectrum of gravity anomalies of the point mass and the vertical rectangularcylinder was deduced in order to obtain the general equation of gravity anomalies.

为获得重力异常余弦变换谱的通式，提出并证明了3个定理；利用它们推导了点质量和直立矩形柱体的重力异常余弦变换谱理论公式，同时给出了重力异常余弦变换谱通式。

The main contributions of the thesis are as follows: Using invariants and matrix theory, especially the special properties of eigenvalues and eigenvectors of the so called irreducible matrix, we put forward several effective new algorithms for the complete matching problem under Euclidean transformation, similarity transformation and general affine transformation.

论文的主要贡献如下：利用不变量和矩阵理论，特别是巧妙地利用了不可约矩阵的特征值和特征向量的特殊性质，提出了求解欧氏变换、相似变换和一般仿射变换下完全匹配情形的点模式匹配问题的几种非常有效的新算法。

First, the proposed scheme uses contourlet transform to extract multidirectional and multiscale texture information, and then obtains the feature points invariant to the affine transformation from the low and middle directional subbands by Harris-Affine detector. Second, the feature regions are adaptively computed by the feature scale of the local structure and normalized by U transform. The watermarking is embedded adaptively in those characteristic regions which are normalized. Finally, by vector quantization, several copies of the watermark are embedded into the no overlapped local feature regions in different directional subbands.

首先，用Contourlet变换提取出多尺度、多方向的纹理信息；再用Harris-Affine检测算子从变换域的中、低频方向子带中提取出仿射不变特征点，结合自适应局部结构的特征尺度确定特征区域，并用U变换对其归一化处理，水印就自适应地嵌入到归一化后的区域中；水印嵌入采纳矢量量化的策略，将水印信息重复嵌入到不同方向子带、多个不相交的局部仿射不变特征区域。

This invention relates to three-dimensional seismic data processing quality monitoring technology. Selecting time-window and analysis frequency for FFT to obtain frequency-domain conversion result for every channel; taking mean-filter to obtain the statistic excited energy or noise disturbance; plotting all results on plane graph to monitor the 3D excited energy or noise disturbance; taking normalization and autocorrelation to all earthquake channel; summating all autocorrelation statistic result to obtain opposite statistic autocorrelation result; finding out and plotting the zero-crossing of autocorrelation on plane position for monitoring excited wavelet.

本发明涉及一种三维地震资料处理质量监控技术，步骤是：选定时窗和分析频率；对某炮各地震道在时窗内做快速富立叶变换，得到道数据在频率域变换结果；对同炮的所有地震道做频率域中值滤波，得到该炮的统计激发能量或噪声干扰量结果；将所有炮的计算结果绘到各炮点平面图上，监控三维激发能量或噪声干扰；对地震数据某炮的各地震道做归一化自相关；对同炮的所有地震道的自相关统计求和，得到该炮的统计自相关结果；寻找该炮统计自相关的零交叉时，将所有炮的零交叉时绘到各炮点平面位置上，完成激发子波监控。

Basic characteristics of cosine transform spectrum were analyzed, where contour lines of 2D cosine transform of point mass present the shape of a quarter of concentric circles and the number of counter become small along with the increasing of wave numbers. The spectrum of vertical rectangularcylinder put up periodic zero counters which mark off quadrate areas, the values of counter in each areas alternately change between the plus and the minus, and with the increasing of wave number, the values of counter present attenuation character alike e exponent.

分析了点质量和直立矩形柱体重力异常余弦变换谱的基本特征：点质量二维余弦变换谱等值线呈1/4同心圆形状，等值线随着波数的增大而变稀；直立矩形柱体谱出现了周期性变化的零等值线，该等值线将非零等值线划分为a×b个矩形区域，而且等值线值在各矩形型区域中正负交替变化，随着波数的增大，不同的矩型域中等值线值呈e指数衰减特征。

A new method of automatic segmentation is developed based on the extreme point properties of wavelet transform. The method consists of two main steps: 1. Using the multi-resolution properties of wavelet transform, we can get the information of shape variation with space coordination.

该方法包括两个主要步骤，一是利用小波变换的多分辨率特性得到测井曲线的形态特性随空间坐标的变化信息；二是利用小波变换过零点的特征在不同尺度上的反映，提取不同尺度下的奇异点作为分层的待参考点，结合实际情况最终确定分层点。

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。