映射

Isomap is one of the representative techniques of nonlinear dimensionality reduction.It extends classical multidimensional scaling by considering approximate geodesic distance. However,Isomap is sensitive to noise because the approximate geodesic distance is constructed on the basis of Euclidean distance. In this paper,a kernel-induced distance metric defined in the feature space is introduced instead of the Euclidean distance to evaluate the geodesic distance and construct the corresponding neighborhood graph.

采用核方法在特征空间推导出一类异于欧氏距离的新度量，代替等度规特征映射中的对噪声敏感的欧式距离，用新度量构造测地距离和相应的最小近邻图，提高Isomap算法的抗噪声能力。

A generalized Gaussian Laplacian eigenmap algorithm based on geodesic distance is proposed,which incorporates geodesic distance and generalized Gaussian function into the original Laplacian eigenmap algorithm.GGLE algorithm can adjust the similarities between nodes of neighborhood graph,and can preserve the different degrees of local properties by using super-Gaussian function,Gaussian function or sub-Gaussian function.Moreover,GGLE can avoid the deficiency of Euclidean distance by using geodesic distance when neighborhoods of data points are enlarged for preserving more neighborhood relations.Experimental results show that the global low-dimensional coordinates obtained by GGLE have different clustering properties and different degrees of preserving local neighborhood structures when different generalized Gaussian functions are used to measuring the similarities between high-dimensional data points.(3) An ensemble-based discriminant algorithm based on GGLE is proposed.

该算法将测地线距离和广义高斯函数融合到传统的拉普拉斯特征映射算法中，可以调整近邻图结点间的相似度，通过选择超高斯、高斯或者次高斯函数来实现不同程度的近邻局部特性的保持；而且当需要保持更多的近邻关系使得数据点邻域增大时，采用测地线距离可以避免欧氏距离度量不合理的缺陷；实验结果表明在用不同的广义高斯函数度量高维数据点间的相似度时，局部近邻结构保持的程度是不同的，GGLE获得的全局低维坐标也呈现出不同的聚类特性。

Inspired by the intuitive geometric interpretation of SVM based on convex hulls, KNNCH maps the data in the original space to the kernel space with the kernel trick and constructs a nearest neighbor classifier in the kernel space, which takes the convex hulls of training sets as the extended class sets.

该算法的设计受到支持向量机几何解释启发，利用核函数方法将数据映射到高维核空间，并在核空间构造以训练集凸包为扩展类集的最近邻分类器。

First of all,the procedure and methods of the implementation of the STEP neutral file are introduced,and the EXPRESS representation for the geometric and non geometric entities of a 2D engineering drawing are also discussed.

首先简要介绍了STEP中性文件实施的过程和方法，以及二维工程图IGES和STEP实体的对应关系，然后介绍了二维工程图基本几何实体和文本注释、尺寸标注等非几何信息的EXPRESS描述，及其映射生成STEP中性文件的方法，并给出一个实际工程图的STEP中性文件（由自行研制的AP201应用工具的后处理器生成），最后对STEP中性文件的优缺点进行了评价。

It looks up the user mailbox location, uid and gid via separate

它通过多个单独的映射表，查找用户邮箱的位置，用户号和组号。

Cell mapping is an effective method of global analysis of dynamical systems.

迭代图胞映射方法是动力系统全局分析的有效工具。

Compared with the global Harmonic mapping based approach, our method has the advantages of high efficiency, robustness and low dependency on mesh topology.

与原有的基于全局调和映射的融合方法相比，新方法具有效率高、稳定性好和拓扑依赖低等优点。

Global bitmap file mapping object, reduces memory footprint for multiple threads per instance

全球点阵图文件映射对象，降低了内存占用为多线程每个实例

Their lack of a global mapping can be remedied by a recently developed method based on locally linear embedding, called locally linear coordination.

近年来提出的概率子空间混合模型对于图像流形学习是一种非常有用的方法，其对全局映射的缺乏可以由最近发展起来的基于局部线性嵌入，也称为局部线性坐标的方法来改善。

The feasibility of modeling method is validated by mapping the global project plan to a multi-view process model. The implementation of this modeling approach on a PDM System is illustrated by an application example.

通过将全局计划映射为多视图过程模型，验证了建模方法的可行性，并以实例说明了该建模方法在PDM系统上的应用。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。