格式变换

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括：(1)对于对偶树二进制系数复数小波，利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法，作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法；(2)对于广义离散傅立叶变换与正弦变换对角化系统，提出了高效、快速的多重网格算法，理论上证明了算法的收敛性；(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构，验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质，从而建立基于小波变换求解Toeplitz系统的快速求解方法，运算量级控制在O，其中N为系统的阶。

We transformed eccentric coaxial line cross-section into rectangular area by hyperbolic cotangent transformation, transformed the FDTD difference expressions into CM-FDTD difference formula, calculated the cutoff wavenumbers of higher order TE and TM modes in eccentric coaxial line.

本文用双曲余切变换将偏心同轴线截面变换为矩形区域，相应地将FDTD差分格式变换为保角变换FDTD差分格式，计算了偏心同轴线TE、TM高阶模的截止波长。

Since the B-spline is a locally supported function, the smoothing formula can be strictly limited in a neighborhood of each point. The smoothing surface defined by the smoothing formula has the same convexity as that of the original image. Secondly, the edge points are detected by either computing the local extremum points of the directional derivative or computing zero-crossing of the second-order directional derivative of the smoothing surface. Finally, an example of an edge detector is given.

针对反卷积视觉模型的病态性，增加了适当的约束，给出了基于低松弛迭代格式的快速自适应滤波算法，对于一个N×N输入图象，由于变换核的局部支撑性质以及低松弛迭代格式的引入，使得快速自适应滤波算法的计算复杂度降为象素个数N〓的线性量阶N〓，就最小二乘算法的复杂性而言，优于不动点迭代算法的O以及基于FFT的预处理共轭梯度算法的O。

Results The equivalent matrix equation is derived by the matrix transformation method.The parameter iterative algorithm and the sufficient and necessary conditions for the convergence are given.

结果基于矩阵变换方法导出了矩阵方程的等价形式，并构造出参数迭代格式，得到了格式收敛的充要条件。

And we show that random walk model converges to the stable law of Lévy-Feller advection-dispersion equation by use of a properly scaled transition to vanish-ing space and time steps,We propose an explicit finite difference approximation for Lévy-Feller advection-dispersion equation.

第三章讨论描述服从某种稳定分布反常扩散的非对称空间分数阶对流-扩散方程——Lévy-Feller对流-扩散方程，首先利用Fourier变换和Laplace变换给出方程的基本解，然后利用Grünwald-Letnikov分数阶导数移位离散算子离散方程中的Riesz-Feller分数阶导数得到离散格式，证明此格式可以解释为离散随机游走模型，并且证明了当时间和空间步长以一定的比率同时趋于0时，所提出的离散随机游走模型收敛到Lévy-Feller对流-扩散过程的稳定分布。

Based on twenty yearss research, Chen Lin developed the holistic processing hypothesis of Gestalt psychology into topology property perception theory, and thought of the human perception as a processing from holistic property to local property of perceptual object. From the viewpoint of Chen, a primitive and general function of the visual system is the perception of topological properties, and perceptual organization should be understood in the perspective of transformation and perception of invariance over transformation in the topological approach.

基于二十余年的研究积累，陈霖的拓扑性质知觉理论从格式塔心理学的整体加工思想出发，试图结合拓扑学的相关研究，对人类的知觉加工给出一个"大范围到局部"的说明，认为视觉系统的基本单元和一般功能是拓扑性质的知觉，知觉组织应当从变换和变换中的不变性知觉的角度进行理解。

The application of polar coordinates system in the CNC LATHE-MILLING;2. A fast particle-moving algorithm for particle-in-cell simulation of plasmas in polar coordinates system was proposed, in which the local rectangular coordinates approximation was used in the area near the position of the charged particle at every time step.

提出了一种在极坐标系下快速推进带电粒子的等离子体粒子模拟算法，该算法在每个时间步长内对带电粒子位置附近的区域采用局部直角坐标系近似，并通过坐标变换，得到粒子运动方程求解的显式格式，从而避免了极坐标系下隐式格式直接迭代求解所带来的容许误差，并提高了计算效率。

RS image is mostly used to map relief maps,make orthograph and thematic maps by professional interpretation,which can be saved in the databases of geographical information systemor up dated the GIS databases.

通过格式变换，直接存入地理信息系统的数据库，修测的内容可以更新GIS数据库。

The circuitry of outer coder consists of data formation, data randomizer, RS encoder, and interleaver in the transmitter and their counterparts in receiver: data reverse transformer, de-randomizer, RS decoder and de-interleaver.

外码电路包括发射端的数据格式变换、扰码、RS 编码、交织，在接收端相对应于的数据格式反变换、解扰、RS 译码、去交织。

Methods: The structures of DICOM image and BMP one were analyzed; the data of DICOM image were read with the window displayed; plumb mirror were transformed and memorized in the format of BMP image.

分析DICOM图像和BMP图像文件格式，读取DICOM图像数据并进行加窗显示、垂直镜像变换，以BMP格式存储。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。