变换

The first, look like each detail picture of direction of picture and each layers to carry on DCT towards get of again, then will imbed to look like the son diagram DCT transformation through two value watermark pictures of the false random row preface behind of the part of the high part of frequency and the detail son diagram energy concentration.

本论文中提出的第一种算法是一种基于离散余弦变换和离散小波变换相结合的脆弱水印方法，即：先对图像进行离散小波变换，再对得到的近似图像和各层各方向的细节图像进行离散余弦变换，然后将经过伪随机排序的二值水印图像嵌入到近似子图DCT变换后的高频部分和细节子图能量集中的部分。

At this text I bring forward effective project strategy of non-maturity haleness watermark model arithmetic. Making use of time-frequency local characteristic of wavelet switch, I bring forward digital image watermark insetting project basing on block of wavelet switch, at the first ,make the image disporting to block of 8×8,then make use of the characteristic of Haar wavelet switch,then make the image the second layer wavelet switch and carry through power modulus transaction.

本文提出了非完备性鲁棒性数字水印典型算法中的行之有效的设计策略，利用小波变换良好的时频局部特性，提出了基于块的小波变换的数字图像水印嵌入方案，把宿主图像分为8×8的小块，利用 Haar小波变换的特性，对图像进行二层小波变换分解，对变换系数进行权重处理，然后把每一个水印象素隐藏在相应的图像块的中低频小波系数之中，提高了数字水印的隐蔽性和鲁棒性。

We establish the relation of inversion formulas among generalized Radon transform with known weight functions, the exponential Radon transform and classical Radon transform, furthermore obtain approximate inversion formula of the exponential Radon transform, the idea of approach above is applied to contour reconstruction and is generalized to n-dimentional euclidean space case. We discuss the support theorem, range condition of the exponential Radon transform.

本文建立了带权广义Radon变换、指数型Radon变换与古典Radon变换反演公式的关系，从而得到指数型Radon变换的近似反演公式，并且应用这种思想方法于轮廓重构，并将这一结果推广到任意维欧氏空间的情形；讨论了指数型Radon变换的支集定理及值域条件。

Curvelet transform is one kind of new multiscale transform after 1999 that is based on wavelet transform, whose structural elements include the parameters of dimension and location, and orientation parameter more, which let Curvelet transform has good orientation characteristic.

随后99年出现的Curvelet变换是在小波变换基础上发展起来的一种新的多尺度变换，它的结构元素包括尺度和位置参数，比小波变换还多了方位参数，使得Curvelet变换具有良好的方位特性。

The paper summerizes several general pratical new techniques, such as the analyzers of program profiles, maximum potential parallelism, array privatizability, loop parallelism; the visualizers of the statement data dependence graph, procedural callgraph, loop iteration space graph and interactive tools of array privatization and unimodular transformation; the automatic techniques of array privatization combined data dependence and coverage, the computation of parallelizing unimodular transforming matrix for mult-nested loops, enhanced unimodular transformation with array reduction recognition, non-loop level parallelism revealing technique, dynamic dataflow analysis and optimization of cross-loop local cache reuses, etc.

本文从而概括了若干具有一般性的实用新技术，如：程序计算量分析、最大潜在并行性分析、数组私有化分析、循环并行性分析等动态程序分析技术；语句数据相关图、过程调用图、循环迭代空间相关图、交互数组私有化、交互幺模变换等可视化语义交互分析变换技术等等；总结了若干自动并行化新技术，如：结合相关和覆盖的数组私有化方法、对多层嵌套循环计算幺模并行化变换矩阵的循环幺模变换方法、结合数组规约识别增强幺模变换的技术、发掘非循环级并行性的技术、动态数据流分析技术、优化利用循环间Cache数据局部性的技术等等。

According to if there exists a one to one mapping between the two point sets to be matched, PPM can be divided into the case of complete matching and the case of incomplete matching. According to transformation type between the two point sets, PPM can be divided into the affine (including Euclidean and similarity) case and the projective case.

点模式匹配问题，根据待匹配的两个点模式是否存在一一对应的匹配关系，可分为完全匹配情形和不完全匹配情形；根据两个点模式之间满足的几何变换关系，可分为仿射变换（包括相似变换和欧氏变换）情形和射影变换情形。

This paper analyzed the shortcoming of this strategy and then proposed a new correction algorithm based on the viewpoint of projective geometry.

为此从射影几何的观点提出了新算法：利用车牌固有的先验信息，将车牌与车牌图像之间的透视变换矫正为仿射变换，再将仿射变换矫正为相似变换，将此相似变换看做是对原车牌进行旋转和全局缩放的结果，消除其中的旋转因素，就得到一个与车牌仅差一个缩放因子的标准车牌图像，以便于后续的字符处理。

The basic theories of mathematical morphology for binary image are stated, and the most simple structure elements of morphologic transformation for binary images are proposed and proved. The geodetic morphologic transformation models are also developed. For the purpose of improving the speed of transformation in computer, the"set symmetric difference"is introduced to adapt each model. Some new morphologic filtering models and quantitative evaluating model of filtering effects in image processing are proposed, under the applied condition. The morphologic thinning methods are studied, and two new morphologic thinning models are developed. On the basis of analyzing the characteristics of mining maps, the image vectorizing tactics and a series of algorithms are proposed, including dynamic adaptive image thresholding using two thresholds, graphic and text separation, noise removal, and multi elements extracting models with mathematical morphology. Accuracy preserving compressed vectorizing model for image vectorization is put forward to generate vector data in multi layer.

论文对二值图象形态学的基础理论进行了较系统的阐述，提出并证明了二值图象处理中形态变换的最简单结构元素，并发展了测地形态变换模型；为了提高形态变换的计算机实现速度，引入了集合论中"对称差"的概念对各形态变换模型进行了改化；针对数学形态学在图象处理中的实际应用，提出了新的形态滤波模型及滤波效果的度量评价模型；研究了形态细化方法，提出了快速形态细化和保形快速形态细化算法；在研究矿图基本特征基础上，提出了人机协同矿图扫描图象矢量化处理策略及一系列扫描图象处理算法模型，包括双阈值动态自适应图象二值化、图文分离、噪声去除、图面多种要素提取形态变换模型等；在图象栅格—矢量转换中，提出了保精度压缩矢量化模型，以生成分层要素矢量数据。

Then the structure unit of hexangular lattice is found according to the principle of invariable symmetry. Renormalization transformation is processed when we regard the structure unit and the growth model as graphs before and after transformation respectively. After choosing the11thermodynamic function fugacity as parameter, we can write out the partition functions before and after transformation and the formula of renormalization transformation. At the same time, we also work out the fixed points of transformation.

然后根据对称性不变的原则，从整体晶格中选取结构单元，把结构单元和生长模型分别作为重整化变换前、后的图形来进行重整化变换，选取热力学函数易逸度为参量，写出了重整化变换前后的配分函数和重整化变换关系式，求出了这一变换的不动点。

By expressing 4-angular momentum of the high-speed particular in the form of tensor ,and by Lorentz transformation,we can get the conversion equation of 3-dimension angular momentum and auxiliary vector.

高速运动质点的4-角动量表示成张量Jμv 的形式，通过对Jμv进行洛伦兹变换可以得到3维角动量L的变换关系以及辅助量G的变换关系，在经典过渡下，前者与角动量的伽利略变换相符合，后者恰好反映加速度a是伽利略变换的不变量。

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。