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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。

The examples indicate that the algorithm has strong pertinence and high efficiency, hi the discrete variable optimization, the problem is solved in the relative quotient method On the base of analyzing the relative quotient method, the conjugate gradient direction is used to modify the old search directions, the iterative matrix of the algorithm, and the method to resolve the discrete variable optimization, the relative conjugate difference quotient algorithm is presented.

离散变量优化算法是从相对差商法开始的，在详细分析相对差上法的基础上，用共轭梯度方向修正原有的搜索方向，并对算法的迭代矩阵进行相关的修改，最终形成一种用于求解离散变量优化问题的RCDQ法。

In order to improve the limitations of GRASP, this paper proposed a new hybrid algorithm, which could resolve the problem of mixed constraints of pseudo-Boolean and conjunctive normal from.

为了改善GRASP的局限性，提出了一种能解决含有伪布尔和合取范式混合约束问题的新的混合算法。

They can't resolve the international ecological problem of the centerism of human and ecology. We must oppugn the rationality of traditional ecological idea of Ethic for the more and more international ecological conjuncture.

"人类中心主义"和"生态中心主义"都不能解决当今世界的生态问题，传统生态伦理观的合理性在全球日益严重的生态危机面前必须质疑。

This method is very useful in the Remote Education system to resolve consistency problem and put the system into commercialization.

这种WEB应用体系和设计模式有利于探索基于Internet的远程教育系统的整体一致的解决方案和向着通用化的方向发展。

In order to resolve the consistency problem, the semiconductor planar technique is adopted to fabrica.

本实验尝试使用了半导体平面工艺制作气敏元件，以解决元件一致性方面的问题，同时要求元件有较好的灵敏度等特性。

Main take Wu Peifu and Zhang Zuolin as the individual. cases to announce SUN SU's both parties in consociate the rift about consociate Zhang to object Wu or on consociate Wu to object Zhang of and it resolve.

主要以吴佩孚和张作霖为个案揭示孙苏双方在联张反吴或联吴反张问题上的分歧及其解决。

The key to resolve the difficult problem lies in a breakthrough of current history concept,const...

解决这一难题的关键在于突破既有的史学观念，建构起新的整合理论，提出新的史学模型。

To resolve this problem, I have designed a constant pressure water supply system using PLC and VVVF.

为了解决这个问题，于是我设计了一套全自动管网叠压变频调速供水设备。

In chapter 6, ACS algorithm is used to resolve the Constrained Via Minimization problem in multi-layer routing.

我们将蚁群算法首次应用到多层布线的通孔最小化问题中。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。