点变换

The LM Algorithm is used in parametric automatic optimization of the transformation matrix in Image Mosaic. After parametric automatic optimization of corresponding points, the transformation matrix is quickly got, and then the image mosaic is realized.

将LM算法应用于图像拼接过程中变换矩阵的参数自动优化中，通过对多个对应点的自动优化后，可以较快得到变换矩阵，从而实现图像拼接。

Based on the clustering characteristic of rigid transformations computed from each correspondence point pair, the PV method is proposed to estimate initial rigid transformation.

根据从对应点组计算的刚体变换的聚类特性，提出PV方法来估计刚体变换的初值。

The selected image salient features are used to compute geometric transformation parameter of watermarked images. After recovering the size and aspect of watermarked images, the watermark detector is synchronized with embedded watermark. Thus the watermark detector can detect the watermark.

利用提取的图像固有特征点估计水印化图像几何变换参数，恢复经几何变换的水印化图像，同步水印检测器与图像中嵌入的水印信号，使水印检测有效检测嵌入的水印信号。

We obtain the eigenfunction through inverse transform,and select appropriate threshold to extract iso-surface.We append the weighted coefficients on sampling density for non-uniform sampling to further compute rational thresholds.

调用快速傅立叶变换FFTW(The Fastest Fourier Transform in the West)软件包，根据点的位置和法向量计算傅立叶系数，通过逆变换求出特征函数，选择合适的阈值提取表面的等值面，对于非均匀采样通过采样密度的加权系数进一步计算合理的阈值。

A new scheme named cancelable fuzzy vault was proposed to overcome this shortcoming, which generated different vaults from different cancelable templates instead of the origin template.

提出了一种使用基于指纹细节点的可撤销的变换模板作为生成vault的模板，保护不同密钥时采用不同变换模板，从而解决了这个问题。

In this paper, we define quadratic spline as wavelet, do the two dimentional dyadic wavelet transform on near-infrared galactophore image, and get local modulus maxima from wavelet transforms results----rnodulus and angles, so we can find the blood vessel edge image in each scales, at last, we compute a good edge image which synthesize the characters in each scale.

本文中用二次样条小波作为小波基函数，对乳腺近红外图像进行二维二进小波变换，计算小波变换结果的局部模极大值点，得到各个尺度下的乳腺近红外图像血管的边缘，最后得到综合了各个尺度特征的较好的血管图像的边缘。

The ground-state energy and the average number of virtual phonons around the electron of a hydrogenic impurity confined in a parabolic quantum dot are calculated using the squeezed-state variational approach,which is based on two successive canonical transformations and uses a displaced-oscillator type unitary transformation to deal with the bilinear terms,which are usually neglected.

李伟萍 内蒙古赤峰学院物理与电子信息工程系，赤峰 024000肖景林内蒙古民族大学物理与电子信息学院，通辽 028043采用基于逐次正则变换的变分方法，利用单模压缩态变换处理包含声子产生湮灭算符的双线性项，研究了抛物量子点中束缚极化子的性质。

In this method the initial values of perspective projective matrix; rotative matrix and translative matrix are calculated from the fundamental matrix, than these matrices are optimized based on the coordinate value of corresponding points.

该方法从基本矩阵计算初始透视投影、旋转和竖直平移变换矩阵，然后以对应点坐标为基础对这些变换矩阵进行优化计算，从而有效地避免了优化计算的局部最小值，而且不过分依赖基本矩阵的计算精度。

At the same time, chaotic pseudo-random sequences generator based on nonlinear dynamic filter security model are constructed to select the frequency hopping points for NDFT, improving the overall system security. 3、Aiming at replay attack of networks in the remote speaker recognition systems and distributed databases speaker recognition systems, a time-stamp watermarking method is brought, which quantizes magnitude coefficients of NDFT. The time-stamp watermarking is embedded into the user's voice sample/voice characteristic information to resist on the replay attack.

同时该类算法采用以非线性动力学滤波器为基础的伪随机序列发生器构造跳频序列来选择频率变换点集合，有效提高了系统的安全性。3、针对远程说话人识别系统以及数据库分布式说话人识别系统存在易受网络重放攻击的缺陷，本文给出一种基于非均匀傅立叶变换的&时间戳&水印量化算法，通过把时间戳水印嵌入待识别用户的语音样本/语音特征信息中，可以有效解决此类缺陷。

By employing the Jordan-Wigner transformation and a modified mean field method, we are able to determine its ground-state quantum phase diagram approximately. The chapter IV is the main part of this Thesis. It contains the main innovations in our work. We propose and study in detail a S=1 Ising chain with the interplay of single-ion anisotropy and dimerization. The main results and innovations are the following: We show that the total number of the zero-component of spins at each site is a conserved quantity. This quantity, which may intuitively called as hole's quantum number, is hidden in the system. We show further that the hole's number in the ground-state is zero; By using the Jordan-Wigner transformation, we map this model onto a series of subsystems described by the spin 1/2 dimerized transverse Ising model. We solve the subsystems exactly, by presenting the exact wave functions and spectra;We show that this system exhibits a series of quantum phase transitions by varying the dimerization strength. We determine the quantum critical points exactly. We also show that the criticality is the same as that of the uniform S = 1/2 transverse Ising chain.

第四章是本文的重点及主要创新内容，我们具体研究了自旋为1的在横向单离子晶格场中的一维二聚化Ising链，我们得到的主要结果和创新之处是：(1)证明了这一模型具有一种隐藏的对称性，即自旋第三分量为零的格点数目是一个守恒量，并证明基态出现在空穴数目为零的子空间中；(2)利用Jordan-Wigner 变换将此模型变换到一系列自旋为1/2的横磁场中的二聚化Ising 模型，并给出了相应严格的波函数及能谱；(3)我们发现系统的基态随着二聚化强度的变化将呈现出一系列量子相变，我们得到了量子临界点的精确位置，并证明其临界性质与自旋为1/2的横磁场中的均匀Ising 链中的临界行为属于同一普适类。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。