不变性

The dissertation aims at automatic target recognition in images. For that purpose, a variety of algorithms proposed by the dissertation have been used in different stages of image recognition, which deal with image segmentation, boundary feature point extraction, curve feature extraction, object invariant representation and recognition.

本论文的研究目标是实现图象中目标的自动识别，为此，论文围绕图象识别的各阶段，研究了图象分割、轮廓特征点提取、曲线特征提取、物体的不变性表征及识别等。

Experiments show that the algorithm can extract the affine-invariant line skeleton, resist the noise and automatically determine the branch point and key point in the skeleton.

该算法能够从散乱点集上得到一维"线"性的骨架，具有仿射不变性，能够抵抗一定的噪声，自动确定骨架上的关节点和分支点。

A camera calibration method with co-line points is proposed, in which distortion center is located according to cross ratio invariability, and then distortion coefficients are calculated based on a line's central projection is a line.

摘要提出一种用共线点列标定摄像机镜头畸变参数的方法，先根据交叉比不变性确定畸变中心，再利用直线的中心投影仍为直线这一性质确定畸变系数。

Based on the depth research on extension array manifold of uniform circular, for some uniform circular arrays which had subarrays with the nature of rotational invariance and had the nature of central symmetry two ESPRIT algo-rithms were presented, the first algorithm reduced one time of SVD, the second algorithm avoided parameter pairs.

在深入研究均匀圆阵扩展阵列流形的基础上，针对某些均匀圆阵的扩展阵列中含有旋转不变性的子阵列组以及中心对称性质，提出了2种基于均匀圆阵的二维ESPRIT算法，第一种算法减少了一次奇异值分解，第二种算法避免了参数配对。

The circular projection transformation is a method of feature extraction that has scale, rotation, and translation invariance.

圆周投影变换是一种具有尺度、旋转、平移不变性的特征提取方法。

Second, to describe, for the first time in a book, recent results of Smirnov in conformal invariance.

二，来描述，这在一本书的第一时间，最近的结果斯米尔诺夫在形不变性。

But this transformation law is in contradiction to the constant character of the velocity of light.

但是这个转换定律跟光的不变性是矛盾的。

Secondly, based on the Mawhin's continuity theorem in coincidence degree theory and the Brousk's theorem, some novel criteron of the existence on periodic solutions are obtained under the more generalized assumptions than before.

主要工作是：第一，应用构造Liapunov函数以及Lasalle不变性原理，给出了解的有界性与收敛性的一些新的充分条件和充分必要条件，这些结果包含或扩展了已有文献关于同样问题的一些重要结果。

At first, it presents a survey of the studyhistory as well as present situation in the λ-multiplier convergent series,invariant, infinite matrix algebras, Schur-matrices and p-uniform Toeplitzmatrices and the Eberlein-Smulian theorem, etc.

本文共5章。首先回顾了〓数乘收敛级数、不变性、无穷矩阵代数、Schur—矩阵与p-一致Toeplitz矩阵以及Eberlein-Smulian定理等的研究历史和现状。

Replaces the non-linearity of space and time with one kind of description equation in more profound non-linear mechanism, this new transformation being similar as Lorenz transformation, but has the more widespread covariant invariability.

实际是把时空上的非线性用一种描述方程上的更深刻的非线性机制来代替，这种新的类似于洛伦兹的变换具有更广泛的协变不变性。

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。