变换点

Furthermore, a optimization model is established to get a necessary and suff icient condition. The arithemetic of the second questino fits the third question as well.

对于第二题，本文发现坐标变换时各点之间的欧氏距离不变，利用各点的距离关系，给出一系列的判定条件，最后用优化算法判定。

The variational relations of the first internal excited state energy,the excitation energy and the frequency of transition spectral line between the first internal excited state and the ground state of the electron which is strongly coupled with phonon in an asymmetry quantum dot with the transverse and longituainal effective confinement length of quantum dot and the electron-phonon coupling strength were studied by using a linear combination operator and the unitary transformation methods.

采用线性组合算符和幺正变换方法研究非对称量子点中与声子强耦合的电子的第一内部激发态能量、激发能量和第一内部激发态到基态的跃迁谱线频率随量子点的横向和纵向有效受限长度，电子-声子耦合强度的变化关系。

The influences of the external magnetic field on the properties of the excited state of the polaron in a parabolic quantum dot are studied by using the linear combination operator and the unitary transformation method, the relation of the first internal excited state energy E1, excited energy △E and the resonance frequency ω of both the strong-and weak-coupling polaron with the effective confinement length l0 of the quantum dot, the electron-phonon coupling strength α and external magnetic field B are derived.

采用线性组合算符和幺正变换方法研究了外场对抛物量子点中极化子的激发态性质的影响，导出了强、弱耦合情况下极化子的第一内部激发态能量E1、激发能量△E、共振频率ω与量子点的有效受限长度l0、电子－声子耦合强度α以及外场B的关系。

In the studying of image segmentation, six crucial technologies havebeen developed successfully. 1 In one dimension histogram of original DRimage of luggage, there remain maximum-value wave crest havingapproximately stationary position, and the first minimum to the left of thewave crest performs excellently to be used to get rid of background of DRimage. 2 Open operation, one type of math morphology, is the right idea toerase luggage disturbance in DR image and at the same time, can be retaininteresting region appropriately. 3 After open operation, there are only a few minimums on image histogram, one of which can be to segment image furtherand achieves satisfying result. 4 Method of histogram analyzing and that oferosion performs well in the re-segmentation of conglutinative region in DRimage. 5 Method of image distance switch can ensure Luggage CT sectionautomatically obtained to have rich suspicious region information. 6 Todecompose structure element of math morphology is a way to save a great dealrunning time for automatically discerning interesting regions algorithm,apparently improving implementation efficiency.

在对图像可疑区域分割研究中，主要开发成功以下几项关键技术：1发现原始箱包DR图像的一维直方图中，均具有位置相对稳定的最大值波峰，以波峰左边第一个极小值为分割阈值，去除DR图像背景，效果非常好。2运用数学形态学中的开运算能够非常有效地去除箱子的干扰，同时能够比较好地保留可疑区域。3发现开运算后的DR图像直方图只有若干个极小值点的特点，其中用最大值波峰左边的第二个极小值点进一步分割DR图像，能够更有效地提取箱包中的可疑区域。4运用直方图分析法和腐蚀法，对粘连区域实行再分割，效果较好。5运用距离变换法，能确保自动设定的箱包CT截面包含丰富的可疑区域信息。6运用形态学结构元素分解技术，大幅度减少可疑区域的自动判别算法运行时间，提高算法软件执行效率。

This method can detect the exact glottal closure time by extracting the local maxima in the weighted sum of wavelet transform coefficients in three scales.

通过提取三个尺度空间小波变换系数加权和的局部极值点，该算法能够获得突变点的准确位置。

Results show that, by uv-vis spectra, fluorescence spectra and Fourier infrared spectra transform all successfully gained water-soluble CdTe quantum dots. With the increase of water-soluble CdTe quantum dot concentration increasing, Achyranthes Bidentata root length and the seed vigor reduced ordinally, but its germination changed no obviously, suggested the space mutagenesis treatment can improve Achyranthes Bidentata seed vigor.

结果表明，紫外－可见光谱、荧光光谱和傅立叶红外变换光谱图均说明已成功制备水溶性CdTe量子点；随水溶性CdTe量子点浓度增大，牛膝的根长和种子活力依次降低，但其对发芽势影响的规律不明显，经空间诱变处理能提高牛膝种子活力。

A stereo pair of SPOT-5 imagery acquired in across-track mode is selected and used. The empirical results have shown that the proposed geometric model, compared with the original model which considers the CCD line-scanner side watch angle as a constant, can improve the x-coordinate accuracy of image points, and can also raise the height accuracy of object space coordinates significantly while maintain the same level of the planimetric accuracy.

经对一SPOT-5异轨立体像对的试验表明，利用改进的几何模型和视CCD线阵列侧视角为常数的仿射变换模型对立体影像进行几何处理，前者较后者的像点x坐标精度有一定的改善，物点的高程精度有所提高，平面精度两者基本一致。

To detect the position of crop-rows, a method based on Hough transform and connected component labeling was put forward. First, a true color image of field crops was processed with gray histogram and OSTU respectively. Then the noises in the image were eliminated by means of eight connected component labeling according to their areas. The centroid coordinates of each labeled crop were computed after the second labeling, through which the center line of the crop-row was regressed by Hough transform. Experimental results show that the method is effective.

该方法分别用直方图法和最大类间方差法二值化图像后，经过8连通区域标记后据其面积属性去除噪声，然后再经一次标记后找出各标记作物的重心点坐标，最后通过Hough变换检测过重心点的直线，即到得到过作物行的中心线，试验结果表明了该方法的有效性。

The inliers of all objects can be refined according to image transformation properties,and the inliers ensure robustness of the least-squares solution.

对增广矩阵进行列变换，依据坐标转换的特性可从中提取多目标的稳定正常点，实现了快速分离多目标的匹配点。

This thesis makes use of complex numbers to study geometry. It mainly considers the following questions: using complex numbers to express collected points and curves on the level;geometric applications of complex numbers on collinear,concurrent,round,Mobius Mappings of Complex numbers problems,etc..Meanwhile,this thesis recommends some methods for thinking on mathematics.

本文利用复数来研究几何，主要考虑如下的问题：平面上的点集的复数表示；平面曲线的复数表示；复数在共线、共点、共圆、复数的麦比乌斯变换等几何问题上的应用，在说明这些应用的同时介绍一些数学上常用的思考方法。

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。