点变换

Firstly, an Iterative Closest Point algorithm is applied for coarse registration. Secondly, gradient feature is extracted from image. Based on the principle of projective transformation, the fine registration is performed by finding the maximum CT gradient projections.

首先基于一种最近点迭代法进行快速粗配准；然后提取图像的梯度特征，根据投影变换原理，采用寻找具有CT最大梯度投影位置的方法进行精配准。

In this paper,a new algorithm is given by means of the complexification of the knots,i.e. the node in the plane is considered as a complex point,the vector as a complex vector,and then based on the construction of vector valued Thiele type rational interpolants and the backward three term recurrence relation for vector valued continued fractions,the recursive algorithm is obtained by appropriate transformation.

文章利用插值型值点复数化的方法讨论并给出了二元向量值有理插值的一种新算法，即把平面上的插值结点视为一个复数，所对应的向量视为一个复向量，使用一元Thiele型向量值有理插值公式的构造方法和向量连分式的向后三项递推关系式以及适当的变换，最后导出了这种递推算法。

Through the new research methods, this thesis has made the following contributions in this field: 1. For the first time the curvature radii and relative angles of a planar continuous curve at discrete points are chosen as local parameters to represent the curve, which reflect clearly the local geometrical characteristics of the curve and are easy to be dealt with.

借助于新的研究方法，本文在这一领域作出如下贡献：（1）首次提出用曲线上离散点处曲率半径和相对转角作为局部参数表示平面连续曲线，直观地反映曲线各个局部的几何特征，且便于曲线的修改和变换，并通过机构运动分析，快速求出机构轨迹的这两个局部参数。

In the western mining areas, when from adjustment to restriction adjustment, the original national control points are of low grade, or the points are destroyed and the surface movement is out of shape. thus, there are few control points and the reference frame conversion is a big problem in the western high elevation areas. As a result, this thesis makes a reparable design in accordance with the key problems of holing through survey.

本文就利用GPS技术测设地面近井点的网形布设、观测方法、数据处理作了相应阐述；并对由无约束平差到约束平差时，西部地区可能遇到在矿区分布的原有国家控制点往往只有低等级点，或点位遭破坏、地表移动变形等可能使可用控制点很少的情况、以及西部高海拔地区坐标系统变换问题，提出了针对贯通测量的关键问题应对方案。

A Schmidt orthogonalization transfer is performed to feature vectors of S W. This process eliminates the correlation between vectors and improves the classification ability for unclassified samples that located in the small angle between vectors.

对Sw矩阵的特征向量使用Schmidt正交变换化，这一过程消除了向量间的相关性从而提高了位于特征向量坐标轴小夹角内样本点的分类性能。

According to analyzing the features of annotation of spot elevation,this paper gives a method of identifying elevation annotation of a scanned topographic map and discusses the principle of the method,including separating character series on the basis of morphologic translating and cutting apart single character on the basis of vertical projecting .

分析了扫描地形图中高程点数字注记和等高线数字注记的特点，介绍了一种扫描地形图数字高程注记的识别方法，并着重介绍了该方法采用的技术，包括形态学变换基础上的快速数字字符串分离方法及基于垂直投影的数字字符分割方法等，并给出了性能评价。

Analyze and compare the description feature points matching result of several kind basis. Adopt to pass similarity transformation matrix to describe the quality of matching methods. Draw up an experiment project, and draw up procedure through MATLAB.

分析比较了评价特征点匹配效果的几种依据，采用了通过相似变换矩阵来描述匹配好坏的方法，制定了实验方案，通过MATLAB编制程序，验证了SIFT算法的有效性。

There are the following several points different from existing finite element eigenanalysis methods for asymptotic fields near the crack tip:(1)The jump-off that educes the formula is different.(2)The form of the element is a ad hoc element.(3)The singular transformation technique is not used in the assumption of displacement fields surrounding the wedge tip.

该方法与过去原有求解裂纹端部近似场的有限元特征分析方法有几点不同：(1)导出公式的出发点不同；(2)单元形式为高次内插单元；(3)尖劈端部邻域内的位移场假定没有采用奇异变换技术。

Non-linear singular perturbation problems;rational collocation method; Sinh transform;boundary layer;internal transition region.

非线性奇异摄动问题；有理配点法；Sinh变换；边界层；内部过渡区域

Room as the rotating coordinate conversion, as space coordinates and spatial coordinates, as the mapping.

象点空间坐标的旋转转换，像空间坐标与像空间辅助坐标之间的变换。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。