查询词典 birational invariant

In this paper, based on the invariant subspace theory and adjoint operator concept of linear operator, a new matrix representation method is proposed to calculate the normal forms of n order general nonlinear dynamic systems.

对于 n阶一般的非线性动力系统，根据线性算子的不变子空间理论和共轭算子概念，提出一种计算其规范形的新的矩阵表示方法。

Assume a Lie algebra g has a form B which has all the useful properties of Killingform:bilinearity nondegeneracy,symmetry and invariance.Note that for such a Liealgebra the adjoint representation is equivalent to the coadjoint representation.We callit a symmetric self-dual Lie algebra and the form B an invariant scalar product.

在第一部分的最后一节，我们引进了拟Heisenberg代数的概念，证明了这些李代数均为具有非极大秩的CN李代数，进一步我们还证明了这些CN李代数构成的集合与极大秩幂零李代数构成的集合之间存在着1-1对应关系。

A method which combined Wavelet Affine Invariant Function with Convex Hull for object recognition is proposed.

提出一种将小波仿射不变函数与凸壳相结合进行目标识别的方法。

Then the relationship between the wavelet shrinkage and diffusion equation is studied. A t last stationary wavelet transform has been used to derive an affine invariant function.

同时从小波阈值函数与散度函数的关系入手进行研究，说明了小波分析与偏微分方程之间的联系。

The Absolute Wavelet Affine Invariant Function is constructed based on WAIF,and is used as the eigenvector of the object to be recognized,and is combined with Convex Hull for object recognition.

基于小波仿射不变函数构造了绝对小波仿射不变函数，作为待识别目标的特征向量，与凸壳相结合进行目标识别。

New techniques that utilize a Lyapunov function with affine dependence on the uncertain parameters to replace the fixed Lyapunov function are developed to make the criteria less conservative. It extends the approach of robust H(subscript ∞) performance of time-invariant descriptor systems.

该方法利用依赖于仿射的带有不确定参数的Lyapunov函数代替固定Lyapunov函数，来降低设计的保守性，是研究时不变广义系统的鲁棒H性能方法的推广。

Typical remote imaging distortions are analyzed firstly. For sea area optical images, a Convex Hull of Extended Centroids target global invariant feature extraction method is proposed based on affine geometry theory.

论文在分析成像畸变误差的基础上，针对海域光学遥感图像数据，提出了基于仿射几何理论的扩展质心-凸包目标全局不变特征提取方法。

SIFT（Scale Invariant Feature Transform） local feature is chosen because of its scale invariance and the property of accurate key-point localization.The Euclidean distance between different SIFT feature vectors is defined as the measure of similarity to get the pre-matched key-point pairs.The affine transform model is used to realize the registration.In order to get the accurate affine transform parameter,the principal of affine transform error is used to get rid of mismatched key-point pairs from the pre-matched pairs.

该方法选取具有良好尺度、旋转不变性以及精确特征点定位能力的SIFT局部特征，使用其特征向量间的欧氏距离作为相似性度量进行特征点匹配，并依据仿射变换误差准则去除奇异匹配特征点对，采用仿射变换的几何模型，实现了遥感图像的快速自动配准。

First, a transformation of the model to an affine invariant space was finished prior to watermark embedding.

提出了一种基于3D网格物体的鲁棒性盲水印方案。

In affine invariant space, the 3D object is not affected by geometric transformations, such as translation, rotation and scaling.

由于在仿射不变空间下，3D物体模型不受平移、旋转和比例变换的影响，故该水印方案对于此类变化具有很强的鲁棒性。

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。