查询词典 birational invariant

Chapter 1 briefs the relation between invariance and computer vision and summarizes the research and application of invariance in computer vision. Chapter 2 first derives the transformations of three camera models, then makes the correpondences between the models and three typical geometrical transformation groups by analysing the transformations respectively. The correspondences supply the theoretical basis for applying geometrical invariants to resolve the problems of computer vision. In Chapter 3, we describe the geometrical invariant theory and prove some geometrical invariants of coplanar points, lines or conics by algebraic method. In order to use the invariants of conic pairs to describe general 2D shapes, we discuss the perspectively invariant representation of planar curves using conies in detail. A system consisted of two TMS320C25 and based on moment invariants is introduced in Chapter 5. The system can recognize more than 30 different shapes of object model or more than 10 plane models with similar shape in real time.

第一章简述了不变性与计算机视觉的关系，以及计算机视觉中的不变性研究和应用概况；第二章推导了计算机视觉中常用三种投影模型的变换关系，通过对这三种变换关系的分析，分别建立了这三种投影模型和几何学中的三种变换群之间的一一对应关系，为几何不变性在计算机视觉中的应用提供了理论基础；在第三章中，我们介绍了几何不变性的理论，并且用代数方法证明了共面点、直线、二次曲线的几何不变量和射影不变量；为了把二次曲线的不变量用于一般二维形状描述，在第四章中我们详细地讨论了用二次曲线实现一般平面曲线的透视不变性表示的方法；第五章介绍了用两片TMS320C25构成的、基于不变矩形特征的运动目标实时识别系统。

It follows from the full-invariant of 〓-multiplier convergent series that 〓-bounded sets also have full-invariant.

据〓数乘收敛级数的全称不变性，得到了〓有界集也具有全称不变性这一重要结论。

In this paper we use the method of supersymmetry to discuss the invariant,obtain an eigenfunction corresponding to eigenvalue of the invariant for a harmonic oscillator with time-dependent frequency.

在采用超对称性的方法讨论了不变量，得到了变频率谐振子不变量的本征值和本征函

Based on the former chapter, one method based on fundamental matrix and crossrate is proposed in this chapter to render novel image considering the character of fundamental and cross-rate invariant in the perspective project, which utilized the correspondence relationship between the given two images and projective invariant between images to render novel image.

该方法通过将基本矩阵的稳定性求解问题转化为一个有条件的极值求解问题，结合遗传算法良好的全局寻优特点，将该方法很好地引入到基本矩阵的求解中，并取得了良好的实验结果。（5）第五章在上一章的基础上，综合基本矩阵和透视投影中的交比不变性的特点，提出了一种基于基本矩阵和交比的生成新图象的方法，这种利用已知两幅图象之间存在的匹配关系和新图象和已知图象存在的透视不变量，来生成新图象。

In addition,we prove that the invariant rings of the maximal subgroups of class C_1 of the general linear group are polvnomial,and so do the invariant rings of root subgroups of the special linear groups.

另外，证明有限域上一般线性群的C_1类极大子群和特殊线性群的根子群的不变式环是多项式的。

Quasi-invariant subspaces similar to the quasi-invariant subspace generated by z+w are completely depicted.

给出了和z+w生成的拟不变子空间相似的拟不变子空间的完全刻画。

Simplicial homology group; topological invariant; homotopy type invariant; degree distribution; clustering coefficient; average distance; simplicial complex; triangulation; complex network; orientability

基础科学，数学，几何、拓扑单纯同调群；拓扑不变量；伦型不变量；度分布；簇系数；平均距离；单纯复形；三角剖分；复杂网络；定向

In this chapter, firstly, the definition of rough semigroups is given afresh. Then based on rough groups, rough subgroups, rough cosets, rough invariant subgroups, some properties of rough subgroups and rough invariant subgroups and the concept of rough quotient groups are introduced. Finally, based on some concepts of homomorphism and isomorphism of rough groups, basic homomorphism theorem and isomorphism theorem of rough groups are put forward and proved.

在这一章中，首先重新给出了粗糙半群的定义，其次在粗糙群、粗糙子群、粗糙陪集、粗糙不变子群的基础上，给出了粗糙子群的若干性质、粗糙不变子群的三个重要性质和粗糙商群的定义，最后在粗糙群同态与同构的基础上，给出了粗糙群同态基本定理与同构定理。

Based on two algebra Riccati equation method especially the structure of the system Hamilton matrix and system observability theory, the role of invariant zeros in constructing system reduced order controllers was given. That is, by the suitable selection of free parameters of the system H(subscript ∞) controller, some points which were symmetry with the unstable invariant zeros about the imaginary axis became the stable poles of the system controller which were not observable and could be reduced from the system, thus could get further reduced order controller.

基于2代数黎卡提方程方法，特别是系统Hamilton矩阵的结构特点和系统可观测性理论，论述了不变零点在构造系统降阶控制器中所起的作用，即通过选择控制器的自由参量，使某些不稳定的不变零点关于虚轴对称的点构成系统控制器不可观的稳定极点，从而实现了控制器进一步降阶。

This paper analyses the influence of scale factor on moment invariant features in discrete,constructs a new moment invariant with both scale,translation and rotating invariance.

分析了在离散状态下比例因子对不变矩特征的影响，构造了一种新的不变矩，使其具有平移、旋转和比例因子的不变性。

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。