角度变换

A rigorous coupled wave theory for the Bragg diffraction of a Gaussian beam in the uniaxial crystal is derived and a group of rigorous coupled wave equations and diffraction efficiency formula are obtained in terms of the proper coordinate transformation and Riemann method .

利用适当的坐标变换和黎曼方法建立了高斯光束在单轴晶体中布拉格衍射的严格的耦合波理论，获得了一组严格的耦合波方程和衍射效率计算公式，讨论了衍射效率随折射率调制量的关系以及波长选择性和角度选择性，同时分析了衍射效率对再现光宽度的要求。

The influence of free surface on tunnels is discussed.The influence of blasting vibration on fresh concrete lining is studied. The finite element method is employed to analyze the spatial distribution of temperature and thermal stress of fresh concrete lining, the wave function expansion method is used to study the interaction of blasting seismic wave and the circular tunnel with lining, thenthe safe PPV of fresh concrete lining with different age is decided by taking into account the thermal stress of concrete lining. Using the conformal mapping method, the influence of blasting vibration on the arch tunnel with lining is studied and the safe PPV of concrete lining is deduced under different incident angle.

研究了爆破振动对新浇混凝土衬砌的影响，采用有限元法求出了圆形洞室新浇混凝土衬砌内温度和温度应力在空间上的分布及其随时间的变化，采用波函数展开法求解了爆破地震波与有衬砌圆形洞室的相互作用，获得了考虑新浇混凝土衬砌内温度应力前提下不同龄期的新浇混凝土衬砌的安全振速；利用保角变换研究了爆破振动对直墙拱形有衬砌隧洞的影响，得到了爆破地震波以不同角度入射时混凝土衬砌的安全振速。

Two steganography security definitions fitted for images are proposed from different points of view. One is in terms of the relative entropy based on the reversible de-correlation transform. The other is in terms of the conditional relative entropy using the markov random field model for images.

分别从两个不同的角度提出了新的适合图像载体的掩密安全性定义：基于可逆去相关变换的相对熵安全性定义和基于Markov图像模型的条件相对熵安全性定义，并分别以不同的图像模型对这两个定义进行了讨论。

They are weak in resisting cryptanalysis because of the lack of nonlinear transformation in systems.

从密码分析的角度看，由于不具有非线性变换，密码的混淆能力不强，容易被攻击。

From the point of algebra, ablock decomposition formula for coefficient matrix of discrete Hartley transform isgiven, from which a new fast DHT recursive algorithm is derived.

本文首先从代数角度出发，给出离散Hartley变换系数阵的一种块分解式，由此导出DHT的一种新的快速递归算法。

Based on information theory, the relationship between the information content of digital holography and recording optical structure was studied. In-line Fourier transform holography which could realize the maximum information content recording was proved.

本文从信息论的角度研究了数字全息信息量与记录光路的关系，证明了同轴傅里叶变换全息是实现全息信息量最大记录的光路。

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。

There are three classes of dual polyhedral links which can be explored: the tetrahedral link is self-dual, the hexahedral and octahedral link, as well as the dodecahedral and icosahedral link are dual to each other.

从手性角度考虑，对偶变换具有手性保持的特征，十个多面体链环分为六组对偶多面体链环。

Building Atrium great transparent glass roof dormer can open arbitrary point conversion to try to evenly spread to all corners of sunlight .

大楼中庭屋顶的巨大透明玻璃天窗，可任意变换开启角度，以尽量把阳光均匀地分散到各个角落。

Study on geometry theory and engagement characteristics of scroll profiles Aiming as the limitations of scroll profiles in existence, the whole characteristics and local characteristics of plane curve instinct equation were studied. Analyzed the equidistant curve of envelope principle, normal equidistant curve creating method and envelope equidistant curve creating method were gained.

针对现有表征方式的局限性和不足之处，从微分几何角度出发，研究了平面曲线固有方程的局部特性和整体特性，分析了通用涡旋型线等距曲线和包络原理，得到了法向等距曲线生成及包络法等距曲线生成方法，推导了通用涡旋型线的坐标变换方法，得到了通用涡旋型线的平面啮合理论。

Methods: Five patients with parkinsonism or dystonia were assigned to general anesthesia using an modified endotracheal tube.

本实验依照人体实验之相关规定进行，五位患有帕金森氏症或肌张力异常的病人接受神经立体定位手术。

If you can benefit from this book, it is our honour.

如果您能从本书获益，这将是我们的荣幸。