查询词典 birational invariant

In order to improve the sensitivity in phase of Gabor filters, we introduced the rotation and scale invariant filters for texture segmentation based on the circular transform and Mellin transform and their rotation and translation invariant.

并在此基础上，利用圆周变换和Mellin变换的旋转和平移不变性，讨论了具有旋转和伸缩不变性的纹理分割滤波器，以克服Gabor滤波器的相位敏感性缺点。

In chapter 2. to two classes of specific systems in engineering, we make researches into stability with respect to their own invariant sets through the theoretic techniques of HDS. And then we bring forward sufficient conditions of uniform asymptotic stability and exponential stability with respect to their own invariant sets in the sense of Lyapunov.

第二章针对实际工程之中的两类具体系统用混合动态系统的理论方法对其关于不变集的稳定性进行了研究，提出了它们关于各自的不变集在Lyapunov意义下一致渐近稳定、指数稳定的充分条件。

In this thesis, several problems of time-dependent systems in various branches of physics are investigated by making use of the generalized invariant theory and the invariant-related unitary transformation formulation. The problems are given as follows:(1) Spin model and geometric phase factor in the fiber We investigate the fiber experiment performed by Chiao-Tomita and the Chiao-Wu theory concerning the geometric phase factor in the optical fiber, and then show that the investigation of the propagation of photons inside the noncoplanar optical fiber can be regarded as that of a second-quantization spin model.

本论文用推广的不变量理论和与不变量有关的幺正变换方法研究了一些物理分支中的几个含时系统问题：(1)自旋模型与光纤中光子几何相因子问题重新考察了Chiao-Tomita光纤实验和Chiao-Wu关于光纤中光子几何相因子的理论，证明了在非共面弯曲光纤中传播的光子运动问题实际上可以化为二次量子化含时自旋模型研究。

A translation-invariant extension of multiwavelet transform called stationary multiwavelet transform was proposed,which yields an overcomplete signal representation,and consequently incorporates the advantages of multiwavelet transform and translation-invariant property.

综合了多小波分析和平移不变性质的优势，将多小波分析扩展到静态多小波的范畴，提出了一种基于静态多小波变换的图像融合方法。

A translation-invariant extension of multiwavelet transform called stationary multiwavelet transform was proposed,which yields an overcomplete signal representation,and consequently incorporates the advantages of multiwavelet transform and translation-invariant property.

综合了多小波分析和平移不变性质的优势，将多小波分析扩展到静态多小波的范畴，提出了一种基于静态多小波变换的图像融合方法。通过对源图像进行SMWT，根据变换系数的尺度内多子带联合窗口特性，实现多源图像的融合。

This paper introduces an affine invariant of trapezia, and the explicit constraint equation between the intrinsic matrix of a camera and the similarity invariants of a trapezium are established using the affine invariant.

引入了梯形的一个仿射不变量，并利用这个不变量，建立了梯形的相似不变量与摄像机内参数之间的约束关系。

The Point Spread Functions of every space-invariant blur in the multiple blurred images are combined together by convolving all the linear PSFs to reduce the accumulation of calculation errors during the image restoration,so that the multiple blur made up of the space-invariant blurs can be eliminated by a deconvolution restoration.

对空间不变模糊的点扩散函数进行合并，减少多重模糊恢复过程的计算误差累计，通过一次解卷积运算实现多重空间不变模糊图像的恢复。

Finally, since there is no absolute origin in time, all systems must be invariant under time displacements.

最后，因为没有绝对的时间原点，所以任何系统在时间平移下一定不变。

T temperatures from room temperature to 300 oC , the tensile strength of ADI was invariant with temperature.

DI在室温至300oC间的抗拉强度，并不会因环境温度的改变，而有明显的不同。

To extract shaft orbit\'s features invariant to rotation, scaling and translation, the unique strengths of Haar orthogonal matrix type are found, the horizontal and vertical coordinates of shaft orbit are fast proceeded by Haar transform, respectively, and the slopes with different resolutions are obtained at different positions by using the corresponding transform coefficients, and then the multi-resolution angles between the adjacent slope straight line are extracted skillfully and used for the hierarchical recognition, the recognition process accords with the principle of human\'s recognizing things by using hierarchy analysis approach.

为提取轴心轨迹平移、旋转、尺度不变性特征，本文挖掘出Haar正交矩阵在图形识别中的独特优点，引入Haar正交矩阵分别对轴心轨迹的横、纵坐标进行快速变换，并利用变换后的对应系数得到轴心轨迹不同位置不同分辨率下的斜率，继而推求出相邻斜率直线之间的多分辨率夹角，所获夹角用于轴心轨迹的分层识别，其识别过程符合人类识别事物层次分析的规律。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。