查询词典 geodesic coordinates

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。

The element equations are derived in a fixed current element coordinates which are coincident with the current moving element coordinates. The perturbed moving element coordinates and the variation of the element nodal rotation parameters corresponding to the perturbation of element nodal displacements and rotations referred to the current fixed element coordinates is consistently determined using the first order linearization of the way used to determine the current element coordinates and element nodal rotation parameters corresponding to the incremental element nodal displacements and rotations referred to the global coordinates.

本研究在梁元素当前的变形位置上，利用元素节点的座标及断面方位建立一个移动元素座标并决定元素节点的旋转参数，对应於元素节点旋转参数扰动量的广义节点力为一广义力矩，为推导传统力和力矩与该广义力矩的关系，本研究在一个与当前的移动元素座标重合的固定元素座标上，推导出元素节点在当前固定元素座标的扰动位移和扰动旋转与元素节点旋转参数的扰动量的关系。

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。

It is useful for the direct and inverse solution of geodesic problem and applying in digital elevation model and 3D GIS model. geodesic coordinate system ; direction angle ; geodesic line ; differential relationship

本文则进一步探讨测地坐标的一些微分性质和微分关系式。1 基于测地坐标的大地线的二阶微分方程按照曲面的内蕴几何学，由

According to the obtained characteristics of focal points and principal planes, using the expressions of focal point, focal plane, focal length, principal point, and principal plane of geodesic lenses, the geometry graphic imaging formation principles of geodesic lenses are developed to get the object-image-relation of geodesic lenses .

利用短程透镜焦点、焦平面、焦距、主点、主平面等的表达式，根据短程透镜在大口径范围内理想聚焦，主平面为以焦点为圆心、以焦距为半径、在原点相切的两个圆弧等性质，推导出了短程透镜物像关系的作图法求取原则。

Built geodesic dome , geodesic dome , dense grid, dome , geodesic dome , polyhedral dome .

测地线拱顶，短程线拱顶，密网格穹隆，网格球顶，多面体穹窿。

In this paper, the author reviewed the nonorthogonal coordinates one-way wave migration methods using tilted coordinates, curvilinear coordinates, and elliptic coordinates.

从倾斜坐标系、曲线坐标系和椭圆坐标系3个方面详细阐述了非正交系单程波偏移方法。

First, in the horizontal positioning accuracy aspect of total-station instrument, point out the importance of direction, distance to correct calculation and coordinates to convert, give coordinates calculated formula of single intersection point of non-symmetry type of horizontal curve, deduce to square–error's calculated formula of horizontal coordinates and point space by polar coordinates positioning methods, and analyze the main influence factor of square–error.

首先，在全站仪的平面定位精度方面，指出方向、距离归化计算和坐标转换的重要性，给出单交点非对称型平曲线坐标的计算公式，导出极坐标定位法平面坐标和点位中误差的计算公式，并分析中误差的主要影响因素。

Three tool balls , cylinders or holes should be set on it and marked with origin of coordinates, coordinates direction, the relative value between origin of coordinates and that of vehicle coordinates.

并需设有三个测量基准球或柱或孔，并标明坐标原点、坐标方向及坐标原点与汽车坐标原点的相对坐标值。

Crack propagation problems under the influence of the edges of the crack subjected to homogenous loads, the origin of the coordinates subjected to concentrated increasing loads, the central zone of the edges of the crack subjected to homogenous loads, the certain point of the edges of the crack subjected to moving unit step loads, the origin of the coordinates subjected to moving increasing loads Px m, the edges of the crack subjected to instantaneous impulse loads, the edges of the crack subjected to moving concentrated variable loads, the origin of the coordinates subjected to point loads, the edges of the crack subjected to a constant moving concentrated loads and the origin of the coordinates subjected to instantaneously moving impulse loads are studied respectively, and the analytical solutions of dislocation distribution function have been obtained.

同时对裂纹面受均布载荷、坐标原点受集中增加载荷、裂纹面中心区受均布载荷、裂纹面上某点受运动阶跃载荷、坐标原点受运动增加载荷Px m、坐标原点受瞬时冲击载荷、裂纹面受运动集中变载荷、坐标原点受集中载荷、裂纹面受常数运动集中载荷、坐标原点受瞬时运动冲击载荷作用下的裂纹扩展问题分别进行了研究，获得了位错分布函数的解析解。

"Bird Man's Diary, Butting on the Love Island", Changsha, China

2008年"鸟人日记，顶在爱情岛"，中国长沙

As long as they were in the service of a family of wizards, their magic would remain dormant.

只要他们一天为家庭服务，他们的法力就潜藏不动。