二维的

The key problem is to solve the display of four dimensional wavelet transform outputs.

提出光学子波并行处理的实现策略，主要有：阵列器件的组合、空分复用、图象缩放旋转与滤波器多楔多环之间的均衡等，其关键是解决二维输入图象子波变换输出的四维显示问题。

A set of complex Morlet wavelet are applied on projection slice of each direction to decompose each projection into several frequency channels,the average and variance extracted are computed in each frequency channel,and then linear regression model is employed to computer realationship feature between frequency channels.1-D DFT is applied to features and the amplitudes of Fourier coefficient are selected as features,then the extracted features are rotation invariant.

该算法是将一定大小的图像进行二维傅里叶变换；其次在变换后的图像中央选择一个圆盘区域，并在方向［0°，180°］内进行等间隔角度频率抽样，实现方向分解，使用一组复Morlet小波对每个方向上的映射切片进行小波变换，从而实现多通道频率分解；在各个频率通道中计算均值和方差作为特征，并利用线性回归模型计算频率通道之间的关系特征；将特征沿方向进行一维傅里叶变换并取其幅值，从而得到旋转不变性特征。

The computing precision with this method is high, which is higher than 10〓 in whole complex plane and is higher than 10〓 in great majority of the complex plane. In addition, the symmetry relations of the two functions and complex zeros of Fresnel integral are studied also.

此外，本章还研究了菲涅耳积分和过度函数在复平面上的对称性、零点、变化规律等，绘出了复平面上的三维立体图和二维等值线图，使人们对这两个特殊函数在复平面上有一个清晰的直观的认识。

By use of the relationships between the hermite polynomial and the laguerre polynomial, the eigenequations of one-dimensional harmonic oscillator and hydrogen atom are conversed into the same equations in form.

同时本文利用SU(1，1)代数将二维、三维情况下的谐振子同加了反平方势的氢原子分别表示成具有相同形式的两算符下的本征值方程，从而得出

This system begins with investigating the saturated clay from the Pearl River Delta. By taking original earth to obtain the original microstructure-clay sample the interstice rate and the three-dimensional information from the image are calculated.

本系统从研究珠江三角洲饱和粘土的微结构特性入手，通过取原状土样，用电子显微镜扫描拍摄原状结构的像片，对原状结构的图像进行空隙比与空隙率计算，从二维粘土微粒结构的灰度图像中计算其三维信息。

Starting from the concept of Measured Equation of Invariance and the local equivalent theorem, it regarded the determination of the truncation boundary condition as a question of field simulation in a small area near the grid boundary. The practical disposal in the 2D and 3D cases was discussed.

基于测度不变方程的概念和局部等效原理，将截断边界条件的确定归结为网格边界上一小区域的电位场模拟问题，并讨论了在二维、三维情况下的具体处理。

On the base of analysis of one dimensional linear interpolation method, two dimensional linear interpolation method in oblique angled rectilinear coordinate system is obtained.

在分析一维线性插值的基础上，得到了任意斜角直线坐标系下二维线性插值的一般计算公式以及有唯一解的条件，并将其应用于平面温度场的计算。

On the basis of the generalized phase integral approximation and the beam displacement ray mode theory, which are both developed by Chinese acousticians, a fast method for normal modes analyzing including the leaky modes is presented. The application of this method in the coupled mode parabolic equation theory gives an efficient algorithm for both the range dependent problems (CMPE2D) and the three dimensional problems (CMPE3D).

在我国独创的广义相积分理论和波束位移射线简正波理论的基础上，提出了一种可以快速而精确地求解简正波本征值的算法，并将该算法应用于简正波-抛物方程理论，从而实现了二维(CMPE2D)和三维(CMPE3D)声场的快速预报。

Spatial ability plays an important role in geometry learning, and the learning of net act as a transformation bridge in plane and three- dimensional figure for students.

中文摘要空间能力在国小几何课程的学习上扮演重要的角色，而展开图的学习则提供了学生从二维平面图形转与三维立体空间能力的转换桥梁。

Firstly, the basic character of the remote filed eddy current is simulated and analyzed in case of two-dimension axial symmetry which approves the existence of remote filed eddy current phenomenon; the full circumferential defect model is investigated to approve the feasibility of using the RFEC techniques to detect the position and depth of defect; the pit corrosion、circumferential and axial crack models are simulated, and the defect character based on voltage plane polar plot and the changes of phase and amplitude are analyzed to supply the standard for defect reconfiguration.

首先，在二维轴对称情况下仿真与分析了远场涡流的基本特性，证实了远场涡流现象的存在；对全周向缺陷的远场涡流检测进行了详细研究，证实了远场涡流检测缺陷位置和深度的可行性；对点状腐蚀、轴向与周向裂纹三种非轴对称缺陷进行三维有限元仿真，利用相位差和幅值变化曲线与电压平面极坐标图对缺陷特征进行分析，为缺陷形状重构提供了依据。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。