算法化

The proposed method could not only efficiently tell between the inward and outward region of the closed curve or surface, but also solve the numerical stability problems of other methods. These superiorities have a significant impact in improving the computational efficiency and stability of level set methods.

所提出的算法能够区分任意形状的闭合曲线或曲面的内外部，改进了以往初始化算法的数值不稳定缺陷，从而使水平集方法的计算效率和稳定性有了显著的提高。

The experimental results show that the algorithm is better than the previous in terms of speed, quality and automation of colorization.

实验结果表明，该算法比以前算法在彩色化的速度和质量上有较大改进，且自动化程度高。

In Chapter three, by constructing a special partitioned matrix and studying the fast triangular factorization of its inverse matrix, we respectively give fast algorithms for the minimal norm least squares solutions of linear equations which coefficient matrices are n×m Toeplitz type matrices and Vandermonde-Loewner type matrices with full column rank.

第三章通过构造特殊分块矩阵并研究其逆矩阵的快速三角分解，分别给出了求以秩为m的n×m阶Toeplitz型矩阵和Vandermonde-Loewner型矩阵为系数阵的线性方程组极小范数最小二乘解的快速算法，并通过算例将新算法与已有的法方程组的方法和正交化方法作了比较。

This contour phase correlation method is superior to the conventional phase correlation in two aspects. Firstly, the contours of images are extracted, and the phase correlation is applied to the contours of images instead of the whole original images, which is more efficient and robust. Secondly, when there are multiple peak values approximate to the maximum peak value in the δ function array, the corresponding translations can be regarded as candidate translations and calculated separately, and the best translation should be determined by the optimization of conformability of two images in the overlapping area.

本轮廓相位相关算法对常规的相位相关算法作了两点改进：(1)提取出图像的轮廓，只对二值化的轮廓图像进行相位相关计算，效率和鲁棒性提高；(2)当相位相关的δ函数阵列中存在多个和最大峰值比较接近的峰值时，将其对应的平移量都作为候选平移量，然后根据重叠区图像的一致性选取其中的最佳值。

Image Processing Center, School of Astronautics, Beihang University, Beijing 100191 Image Processing Center, School of Astronautics, Beihang University论文摘要: Using hyperspectral images to detect targets, the classical detection algorithms mainly focus on the second-order statistics. For example, the popular Constrained Energy Minimization algorithm uses the data's correlation matrix to detect targets.

论文摘要：利用高光谱图像进行目标检测，传统的目标检测算法主要使用二阶统计量，例如国际上流行的约束能量最小化(Constrained Energy Minimization，CEM)算法使用数据的二阶相关矩阵来进行目标检测。

The experiment shows that it is efficient and its running is faster than the traditional mining algorithm Cumulate.

实验表明，算法是有效的，比传统的普遍化关联规则挖掘算法Cumulate快。

When discrete characteristic of digital images is considered, finite difference approximates differential operator.

考虑数字图像离散化特征，用有限差分近似微分运算，将由PDE描述的反射图方程转化为关于未知高度的代数方程，然后使用迭代算法求解，得到新的SFS算法。

Based on the research work of basic theories including phase space reconstruction,embedding theorem,correlation dimension,local dynamics,Lyapunov exponents,surrogate data etc,based on the research work of general methods such as principal component analysis,correlation dimension GP algorithm,false neighbors method,nonlinear time series prediction,local prediction, adaptive prediction,neural network model,support vector machines regression model, prediction power,nonlinear detection,coarse-graining methodology,conditional entropy and so on,the framework of nonlinear time series analysis are constructed.

在对包括相空间重构、嵌入定理、关联维数、局部动力学、Lyapunov指数、替代数据(来源：A97BC论文网www.abclunwen.com)、等基本理论与其物理意义的研究和讨论基础上；在对包括主分量分析、关联维数GP算法、伪邻近点法、非线性时间序列预测、局域预测、自适应预测、神经网络模型、支持向量回归模型、预测效果、非线性检测、粗粒化方法、条件熵等非线性时间序列一般分析方法的原理和算法研究基础上；构建了新的非线性时间序列分析的理论体系，归纳总结了非线性时间序列分析的基本问题和主要研究方面。2。

In this paper, no-wait flow shops scheduling problems for a mixed discrete particle swarm optimization, through the establishment of the location of the vector encoding and scheduling program of mapping relations between the continuous particle swarm optimization algorithm is applied to discrete no-wait flow shops scheduling problem.

针对无等待流水线调度问题提出了一种混合离散化粒子群优化算法。通过建立位置矢量编码与调度方案之间的映射关系将连续的粒子群优化算法应用于离散的无等待流水线工件调度问题。

Example analysis shows that, comparing with other discretization algorithms, the algorithm proposed in this paper is satisfactory.

实例分析表明，和其它离散化算法相比，本算法取得了较满意的结果。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新